What is the slope of the graph shown below? ​

What Is The Slope Of The Graph Shown Below?

Answers

Answer 1

Answer:

Option 3: -2

Step-by-step explanation:

The slope of the graph is negative, and the only option with a negative term for the slope is -2.

So the slope of the graph is -2.


Related Questions

which of the following functions is graphed below

Answers

The function that is graphed is y = |x -2| + 3. The correct option is D. y = |x -2| + 3

Absolute value graph

From the question, we are to determine the function for the given graph

From the graph,

When x = 2, y = 3

The equation that satisfy this condition is

y = |x -2| + 3

NOTE: This function satisfies all the points on the graph

Hence, the function that is graphed is y = |x -2| + 3

Learn more on Absolute value graph here: https://brainly.com/question/17082317

#SPJ1

Simplify.
x to the 4 power x z to the 5 power over xz to the 6 power

Answers

The expression which represents the simplified form of the given expression; x to the 4 power x z to the 5 power over xz to the 6 power as in the task content is; 1/x²z.

What expression represents the simplified form of the given expression?

According to the task content, it follows that the given expression in the task content is; x⁴z⁵/(xz)⁶.

Hence, the expression can be simplified by means of the laws of indices as follows;

x^(4-6) z^(5-6)

= x-²z-¹

= 1/x²z.

Ultimately, the expression which represents the simplified form of the given expression; x to the 4 power x z to the 5 power over xz to the 6 power as in the task content is; 1/x²z.

Read more on simplified expressions;

https://brainly.com/question/723406

#SPJ1

Find the future value in interest earned if $8704.56 is invested for eight years at 4% compounded semiannually

Answers

The future value interest earned semiannually at a  compound rate of 4% is $7598.89.

To calculate the future value in interest earned, we use the of compound interest

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Formula:

I = [P(1+r/100)ⁿ-P]...................... Equation 1

Where:

I = Future interestP = PrincipleR = Raten = Total time

From the question,

Given:

P = $8704.56r  = 4%n = 2×8 = 16 semiannually

Substitute the values above into equation 1

I = [8704.56(1+4/100)¹⁶-8704.56]I = 8704.56(1.04)¹⁶-8704.56I = 16303.48-8704.56I = $7598.89

Hence, the future value interest earned is $7598.89.

Learn more about compound interest here: https://brainly.com/question/24924853

#SPJ1

PLEASE ASAP!! ALSO PLEASE INCLUDE AN EXPLANATION OF HOW YOU GOT THE ANSWER!!! THANK YOU! BTW THERE ARE TWO PICTURES! :)

Answers

2/3 is 400% of 1/6

0.2 is 12.5% of 1 3/5

Calculating Percentages

From the question, we are to determine what percent of 1/6 is 2/3

Let the value be x

Thus,

We can write that

2/3 is x% of 1/6

This means

2/3 = x/100 × 1/6

Now, solve for x

2/3 = x/100 × 1/6

2/3 = x/600

x = (2×600)/3

x = 400

Hence, 2/3 is 400% of 1/6

We are to determine what percent of 1 3/5 is 0.2

Let the value be y

That is,

0.2 is y% of 1 3/5

This can be written as

0.2 = y% × 1.6

0.2 = y/100 × 1.6

Now, solve for y

0.2 = y/100 × 1.6

0.2 = 1.6y/100

1.6y = 0.2 × 100

1.6y = 20

y = 20/1.6
y = 12.5

Hence, 0.2 is 12.5% of 1 3/5

Learn more on Calculating Percentages here: https://brainly.com/question/843074

#SPJ1

Classify the figure. Identify its vertices, edges and bases.
Write the direct variation function given that y varies directly with x, and y = 1.5 when x = 5.
1. x = 0.3y
2. y = 0.3x
3. y = 3x
4. y = 0.25x

Answers

The direct variation function is y = 0.3x

How to determine the direct variation function?

The direct variation from y to x is represented as:

y = kx

When y = 1.5 and x = 5, we have

1.5 = 5k

Divide by 5

k = 0.3

Substitute k = 0.3 in y = kx

y = 0.3x

Hence, the direct variation function is y = 0.3x

Read more about direct variation at:

https://brainly.com/question/14254277

#SPJ1

What is the expected value when rolling a fair 12-sided die?
A. 7.5
B. 5.35
OC.7
D. 6.5

Answers

Answer:

What is the expected value when rolling a fair 12-sided die?

132=6.5

Recall the definition of the expected value:

E[X]=∑ni=1xp(x)

Here, we have 12 possible values the die can take on, and the probability of each one is the same: 1/12. So we can just pull the term p(x), the probability of each outcome, out of the summation:

E[X]=112∑12i=1x

A useful trick here is that the sum of the numbers 1..N=N(N+1)2. So:

E[X]=11212(13)2

E[X]=12(13)12(2)

E[X]=132

Step-by-step explanation:

hope it helps you :)

D become more of the day to day

witch expression is equivalent

Answers

The equivalent expression of -14 - 6 is -14 - (+6)

What are equivalent expression?

Equivalent expressions are expressions that have the same value when evaluated

How to determine the equivalent expression?

The expression is given as:

-14 - 6

Put the terms of the expression in brackets

-14 - (6)

Rewrite 6 as +6

-14 - (+6)

Hence, the equivalent expression of -14 - 6 is -14 - (+6)

Read more about equivalent expression at

https://brainly.com/question/2972832

#SPJ1

One fifth increase over 400

Answers

Answer:

480

Step-by-step explanation:

1/5 of 400 =   1/5 * 400 = 80

  increase 400 by 80   = 480

subtract:-5x^2-7y^3+14z from 2x^2-y^3+5z

Answers

Answer: [tex]-3x^2+6y^3-9z[/tex]

Step-by-step explanation:

[tex](2x^2-y^3+5z)-(5x^2-7y^3+14z)[/tex]    given

[tex]2x^2-y^3+5z-5x^2+7y^3-14z[/tex]  use distributive property and distribute the -

[tex]-3x^2+6y^3-9z[/tex]          final answer

Answer:

-3x^2 + 6y^3 - 9z

Step-by-step explanation:

(2x^2 - y^3 + 5z) - (5x^2 - 7y^3 + 14z)

open the brackets:

2x^2 - y^3 + 5z - 5x^2 + 7y^3 - 14z

simplify:

=> -3x^2 - y^3 +5z + 7y^3 - 14z               [2x^2 - 5x^2 = -3x^2]

=> -3x^2 + 6y^3 + 5z - 14z                       [ -y^3 + 7y^3 = 6y^3]

=>  -3x^2 + 6y^3 - 9z                               [  5z - 14z = -9z]

PLEASE HELP 100 POINTS!!!!!!
A piecewise function g(x) is defined by g of x is equal to the piecewise function of x cubed minus 9 times x for x is less than 3 and negative log base 4 of the quantity x minus 2 end quantity plus 2 for x is greater than or equal to 3

Part A: Graph the piecewise function g(x) and determine the domain. (5 points)

Part B: Determine the x-intercepts of g(x). Show all necessary calculations. (5 points)

Part C: Describe the interval(s) in which the graph of g(x) is positive. (5 points)

Answers

Answer:

A)  See attached for graph.

B)  (-3, 0)  (0, 0)  (18, 0)

C)   (-3, 0) ∪ [3, 18)

Step-by-step explanation:

Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.

Given piecewise function:

[tex]g(x)=\begin{cases}x^3-9x \quad \quad \quad \quad \quad \textsf{if }x < 3\\-\log_4(x-2)+2 \quad \textsf{if }x\geq 3\end{cases}[/tex]

Therefore, the function has two definitions:

[tex]g(x)=x^3-9x \quad \textsf{when x is less than 3}[/tex][tex]g(x)=-\log_4(x-2)+2 \quad \textsf{when x is more than or equal to 3}[/tex]

Part A

When graphing piecewise functions:

Use an open circle where the value of x is not included in the interval.Use a closed circle where the value of x is included in the interval.Use an arrow to show that the function continues indefinitely.

First piece of function

Substitute the endpoint of the interval into the corresponding function:

[tex]\implies g(3)=(3)^3-9(3)=0 \implies (3,0)[/tex]

Place an open circle at point (3, 0).

Graph the cubic curve, adding an arrow at the other endpoint to show it continues indefinitely as x → -∞.

Second piece of function

Substitute the endpoint of the interval into the corresponding function:

[tex]\implies g(3)=-\log_4(3-2)+2=2 \implies (3,2)[/tex]

Place an closed circle at point (3, 2).

Graph the curve, adding an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attached for graph.

Part B

The x-intercepts are where the curve crosses the x-axis, so when y = 0.

Set the first piece of the function to zero and solve for x:

[tex]\begin{aligned}g(x) & = 0\\\implies x^3-9x & = 0\\x(x^2-9) & = 0\\\\\implies x^2-9 & = 0 \quad \quad \quad \implies x=0\\x^2 & = 9\\\ x & = \pm 3\end{aligned}[/tex]

Therefore, as x < 3, the x-intercepts are (-3, 0) and (0, 0) for the first piece.

Set the second piece to zero and solve for x:

[tex]\begin{aligned}\implies g(x) & =0\\-\log_4(x-2)+2 & =0\\\log_4(x-2) & =2\end{aligned}[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\begin{aligned}\implies 4^2&=x-2\\x & = 16+2\\x & = 18 \end{aligned}[/tex]

Therefore, the x-intercept for the second piece is (18, 0).

So the x-intercepts for the piecewise function are (-3, 0), (0, 0) and (18, 0).

Part C

From the graph from part A, and the calculated x-intercepts from part B, the function g(x) is positive between the intervals -3 < x < 0 and 3 ≤ x < 18.

Interval notation:  (-3, 0) ∪ [3, 18)

Learn more about piecewise functions here:

https://brainly.com/question/11562909

Please look at the attachment and help me with my question! (╥︣﹏᷅╥)

Answers

Peter:

£2.30 ÷ 6 = £0.38 each sausage

Paul:

£3.50 ÷ 10 = £0.35 each sausage

As you can tell, it is cheaper to buy from Paul because each sausage is £0.35 which is 3 pence less than buying from Peter.

In other words, the best value for money would go to the 10 pack sausage, saving £0.03 per unit of sausage.

However, that doesn't answer the question. You need to find how many packages you can get with your available £10.

£10 ÷ £2.30 = 4.34...

So, you can buy 4 packs of sausage from Peter - meaning you will get 24 sausages in total. This is because each pack contains 6 sausages, and you have 4 of this. (6x4=24)

£10 ÷ £3.50 = 2.85...

So, you can buy 2 packs of sausages from Paul & meaning you will get 20 sausages in toal because each package contains 10 sausages. (2x10 = 20)

Thus, you should buy from Peter because you get 24 sausages, instead of 20 sausages from Paul, in accordance to the £10 you can spend in both shops.

Hope this helps!

we conclude that the store where you can get more sausages is in Peter the Butcher.

Which shop is the best option?

You have £10.

Peter the Butcher sells 6 sausages for £2.30

The number of packages that you can buy is:

£10/£2.30 = 4.3

Rounding down to the next whole number, we conclude that here you can buy 4 packages, then:

4*6 = 24 sausages

4*£2.30 = £9.20

So here you can buy 24 sausages for £9.20

In Paul the butcher, you can buy 10 sausages for £3.50

Notice that here you can only buy 2 packages (because the cost of 3 packs would be  £10.50, which is more than the amount you can spend).

Then here you only can get 20 sausages.

Then, we conclude that the store where you can get more sausages is in Peter the Butcher.

If you want to learn more about whole numbers:

https://brainly.com/question/19161857

#SPJ1

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match the points with their polar coordinates. HELPPPPP!!

Answers

The points would be matched with their polar coordinates as follows:

(-4, -3π/4) → E.(4, 7π/4) → F.(4, 3π/4) → C.(- 4, - 7π/4) → D.

What is a polar coordinate?

A polar coordinate can be defined as a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).

How to transform polar coordinates to rectangular coordinates?

In geometry, the relationship between a polar coordinate (r, θ) and a rectangular coordinate (x, y) based on the conversion rules is given by the following polar functions:

a = rcos(θ)    ....equation 1.

b = rsin(θ)     ....equation 2.

Where:

θ is the angle.r is the radius of a circle.

In Mathematics, a negative vector for a given vector has the same magnitude but acts in an opposite direction while an antiparallel vector for a given vector refers to any vector that acts in an opposite direction.

This ultimately implies that, a negative vector equals to an antiparallel vector, but an antiparallel vector isn't always a negative vector.

In this context, we can infer and logically deduce that the points would be matched with their polar coordinates as follows:

(-4, -3π/4) → E.(4, 7π/4) → F.(4, 3π/4) → C.(- 4, - 7π/4) → D.

Read more on polar coordinates here: https://brainly.com/question/2193539

#SPJ1

Explain why [tex]x[/tex] and [tex]3x + 5[/tex] are factors of the expression [tex]x(3x + 5)^{2}[/tex] and not terms of the expression.

Answers

[tex]x[/tex] and [tex]3x+5[/tex] are being multiplied to form the expression, and are not being added or subtracted.

Here, x and (3x+5) are given in the form of multiplication, instead of being separated by addition or subtraction. This is why x and (3x+5) are factors of the expression x(3x + 5)² and not terms of the expression.

What are terms and factors in an expression?

Terms of an expression can be a variable, a signed number, or a constant multiplied by one or more variables. On the other hand, the factors are the items that have been multiplied by another items. Any integer, variable, phrase, or lengthier expression can be a factor.

For instance, the expression 2x(y - 5) has three components: 2, x, and (y-3). These three components are its factors, since when multiplied, they produce the same expression. The factors may or may not be comprised of more than one terms.

Learn more about factors here:

https://brainly.com/question/24182713

#SPJ1

complete-the-sequence-1/1-1/2-1/9-1/64,..

i am trying to figure its formula to find its 10th term .

Answers

The 10the term of the sequence -1/1, -1/2, -1/9, -1/64....is -1/1,000,000,000

Sequence

-1/1, -1/2, -1/9, -1/64

This can be written as;

-1/1° , -1/2¹, -1/3², -1/4³, -1/5⁴, -1/6^5, -1/7^6, - 1/8^7, -1/9^8, -1/10^9

So,

First term = -1/1,

Second term = -1/2,

Third term = -1/9,

Fourth term = -1/64,

Fifth term = -1/625,

Sixth term = -1/7,776,

Seventh term = -1/117,649,

Eighth term = -1/2,097,152,

Ninth term = -1 / 43,046,721,

Tenth term = -1/1,000,000,000

Therefore, the 10th term is -1/1,000,000,000

Learn more about sequence:

https://brainly.com/question/7882626

#SPJ1


A client named Tommy wants us to prepare a 3300-word Marketing Report + Poster. If a task is quantifiable by word count, we charge $110 per 1000 words. If a task is not quantifiable by word count, we estimate how many hours are required to complete the task and we charge based on $5 per hour. How much should we charge Tommy? Work out the total price.​

Answers

The amount we should charge Tommy is $363.

What does the amount charged mean?When you charge someone money, you are requesting payment from them in exchange for something you have either sold to them or performed for them.The total sum that the Owner is obligated to pay under the charge obligations as outlined in the payment schedule is referred to as the "Total Charge Amount."

How much should we charge Tommy:

The amount charged for 1000 words = $110

The amount charged per word = $110/1000

Amount to be charged for 3300 words = $(110/1000) × 3300

= $(0.11) × 3300

= $363

The amount we should charge Tommy is $363.

To learn more about the amount charged, refer to:

https://brainly.com/question/25922783

#SPJ9

A person needs to fill 15 water jugs with a hose. Filling the first 3 jugs has taken 4 minutes. How long to finish filling the remaining jugs?

Answers

9 minutes i think
3 divided by 4 = 0.75
0.75 times 12(remaining jugs) = 9 :)
hope this helps!

Answer:

20 minutes

Step-by-step explanation:

Rate x Time = jobs

The rate is 3 jugs/ 4 minutes.

The number of jobs is 15

Use T for time

3/4T = 15  Multiply both sides by 4/3 to get the variable T by itself

(4/3) 3/4 T = 15(4/3)

T = 20 minutes

KI's net income for 2021 is _____.

a.
$188.2 million

b.
$118.5 million

c.
$149.3 million

d.
$162.8 million

Answers

The answer is d but I don’t for sure it might be a or c or b

Investments increase exponentially by
about 26% every 3 years. If you made a
$2,000 investment, how much money
would you have after 45 years?
Future Amount = $[?]
Hint: Future Amount = [(1 + r)t
-pt

initial
amount
growth
rate
←time
periods
Round to the nearest dollar.

Answers

Answer:

9060$ is the final amount because 7060 is the interest

The amount of money after 45 years will be $64,060.

What is compound interest?

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Investments increase exponentially by about 26% every 3 years.

If you made a $2,000 investment.

Then the equation will be

[tex]\rm A = 2000 \times \left (1.26 \right )^{\frac{t}{3}}[/tex]

Where t is the number of years.

Then the amount of money after 45 years will be

[tex]\rm A = 2000 \times \left (1.26 \right )^{\frac{45}{3}}[/tex]

Simplify the equation, then we have

A = 2000 × (1.26)¹⁵

A = 2000 × 32.03

A = $64,060

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ1

Find the surface area of a sphere with radius 15 in

Answers

radius -15

Surface Area of a sphere =4πr^2

=4x22/7x15x15

=19800/7

=2828.57

9. will give brainliest

Answers

The equation of the parabola with the given vertex and directrix in vertex form is y = (1/16)( x + 5 )² - 9.

Hence, option C is the correct answer.

What is the equation of the parabola?

Given the data in the question;

Vertex of the parabola: ( -5, -9 )h = -5k = -9Directrix of the parabola: y = -13

To find the equation, we use the equation of the parabola that opens up or down since the directrix ( y = -13 ) is vertical.

The equation is expressed as;

( x - h )² = 4p( y - k )

First, we find the distance from the focus to the vertex.

|p| is the distance rom the focus to the vertex and from the vertex to the directrix.

p = -9 + 13

p = 4

We substitute the values into the equation;

( x - h )² = 4p( y - k )

( x - (-5) )² = 4(4)( y - (-9) )

( x + 5 )² = 16( y + 9 )

Multiply both side by 1/16

(1/16)( x + 5 )² =  y + 9

Make y the subject of the formula

(1/16)( x + 5 )² - 9 =  y

y = (1/16)( x + 5 )² - 9

The equation of the parabola with the given vertex and directrix in vertex form is y = (1/16)( x + 5 )² - 9.

Hence, option C is the correct answer.

Learn more about equation of parabola here: https://brainly.com/question/21685473

#SPJ1

Distance between -11 and 4 on a number line?

Answers

ANSWER: 15
HOW-TO: 11 + 4 = 15
EXPLANATION: -11 +11 to get to zero and then add four to that eleven to get the difference

Answer:

Distance = 15

Step-by-step explanation:

4 - (-11) = 4 + 11 = 15

please anybody solve this problem step by step as soon as possible

Answers

Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

Mike and Tim are looking to earn a little extra money. The beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle. Mike realizes as they pick up it will get harder and harder to find more bottles. So as an incentive to keep looking he suggests a different form of payment. He suggests $0.10 for the first bottle and increase the pay by 2% for each bottle after that. Tim thinks Mike is crazy to propose an increase of just 2% per piece. He plans to ask for a one cent increase for every piece, starting at 15 cents for the first bottle

Answers

The first five terms of the sequence representing each bottle scheme for Mike is illustrated below.

How to calculate the sequence?

From the information given, Mike and Tim are looking to earn a little extra money and the beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle.

For Mike, the price for the first bottle is $0.10.

The price for the second bottle will be:

= 0.10 × 1.02 = 0.102

The price for the third bottle will be:

= 0.10 × 1.02² = 0.10404

The price for the forth bottle will be:

= 0.10 × 1.02³ = 0.10612

The price for the fifth bottle will be:

= 0.10 × 1.02⁴ = 0.10824

Learn more about sequence on:

brainly.com/question/6561461

#SPJ1

Complete question:

Mike and Tim are looking to earn a little extra money. The beach committee offers them the opportunity of picking up plastic bottles, paying them $0.20 per bottle. Mike realizes as they pick up it will get harder and harder to find more bottles. So as an incentive to keep looking he suggests a different form of payment. He suggests $0.10 for the first bottle and increase the pay by 2% for each bottle after that. Tim thinks Mike is crazy to propose an increase of just 2% per piece. He plans to ask for a one cent increase for every piece, starting at 15 cents for the first bottle. Write the first five terms of the. sequence representing each bottle scheme for Mike.

what is 4,928 will rounded to the nearest hundred​

Answers

Answer:

4.93

See the discussion below if the number is 4928.

Step-by-step explanation:

Comment

Do you really mean hundred? If you do, the nearest hundred is 0 when the actual value is 4.928

If you mean the nearest hundredth that means that 2 is the value of the hundredth now. Rounded, the answer is 4.93

If the given value is 4928, the hundred's place is the 9. Look at the 10s place (2). Since the 2 is less than 5, the 9 is not changed. 2 zeros are at the end of 49 since the hundreds place is rounded.

4900 is the answer

Hi there,

please see below for solution steps :

__________

Let us revise the rounding rules :

1) if the number you’re rounding to is followed by a number from 0 to 4, you drop that number

2) if the number you’re rounding to is followed by a number equal to 5 or more, you add 1 to that number

________

Now,

Nearest Hundredth => 3 digits after the decimal point

Thus,

4.928 => 4.93

Hope the Answer - and steps - made sense to you,

Happy Studying !!

Frozen Melody

please help! just need answers for a and b, please!!!!

Answers

The answers are :

a)

A = (0, 1)B = (-1, 0)C = (1, 0)D = (-0.5, 0)

b)

E = (-2, -3)

Let's find point A by using g(x). A is clearly the y-intercept so take x = 0.

g(0) = 2(0) + 1g(0) = 1A = (0, 1)

Points B and C can be found using f(x). As they are the x-intercepts, take y = 0.

0 = 1 - x²x² = 1x = ±1

As B lies to the left of the y-axis, its x-coordinate is negative.

B = (-1, 0)

As C lies to the right of the y-axis, its x-coordinate is positive.

C = (1, 0)

Point D can be found using g(x). D is clearly the x-intercept so take y = 0.

0 = 2x + 12x = -1x = -1/2 = -0.5D = (-0.5, 0)

Point E lies at the intersection of f(x) and g(x). So they have to be equated.

f(x) = g(x)1 - x² = 2x + 1x² + 2x = 0x (x + 2) = 0x = -2g(-2) = 2(-2) + 1g(-2) = -4 + 1g(-2) = -3E = (-2, -3)

Answer:

see explanation

Step-by-step explanation:

(a)

A lies on the y- axis with x- coordinate of zero

substitute x = 0 into either of f(x) or g(x) for y- coordinate

g(0) = 2(0) + 1 = 0 + 1 = 1

then A (0, 1 )

---------------------

B and C lie on the x- axis with y- coordinate of zero

let f(x) = 0 and solve for x , that is

1 - x² = 0 , then

x² = 1 ( take square root of both sides )

x = ± [tex]\sqrt{1}[/tex] = ± 1

then B (- 1, 0 ) and C (1, 0 )

--------------------------------------

D is the point on the x- axis where g(x) crosses

let g(x) = 0 and solve for x

2x + 1 = 0 ( subtract 1 from both sides )

2x = - 1 ( divide both sides by 2 )

x = - [tex]\frac{1}{2}[/tex]

then D (- [tex]\frac{1}{2}[/tex] , 0 )

-----------------------------

(b)

E is the point of intersection of f(x) and g(x) so equate them, that is

2x + 1 = 1 - x² ( subtract 1 - x² from both sides )

x² + 2x = 0 ← factor out x from each term

x(x + 2) = 0

equate each factor to zero and solve for x

x = 0 ← x- coordinate of A

x + 2 = 0 ⇒ x = - 2 ← x- coordinate of E

substitute x = - 2 into g(x) for corresponding y- coordinate

g(- 2) = 2(- 2) + 1 = - 4 + 1 = - 3

then E (- 2, - 3 )

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g. How many of each weight is needed?

Answers

Answer:

See below

Step-by-step explanation:

237/50   =    4    R 37

37/20     =     1     R 17

17 / 10     =     1     R 7

7 / 1         =     7    R 0

4   50gm's      1     20gm       1   10gm       and   7    1g wts

The required number of weights used in chemical balance to weigh 237g is 4,1,1,7 respectively.

What is mathematical expression?

A mathematical expression expression in mathematical is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Here, it is given that :

A chemical balance needs to weigh 237g using weights of 50g, 20g, 10g and 1g.

Now, let us find the number of weights for each weight type :

For 50g weight the maximum number of weights needed will be 4 that is :

50g x 4 = 200g

Now, for 20g weight the maximum number of weights needed will be 1 that is :

20g x 1 = 20g

Now, for 10g weight the maximum number of weights needed will be 1 that is :

10g x 1 = 10g

Now, for 1g weight the maximum number of weights needed will be 7 that is :

1g x 7 = 7g

Adding all the weights we get :

200g + 20g + 10g + 7g = 237g;

which is the required weight and the number of weights used is 4,1,1,7 respectively.

Read more about weights at:

https://brainly.com/question/16177712

#SPJ5

You will have to solve the equation to get the number. Put your math skills to the test! Make sure to put your number in numeric form and in 3 digits. (not using pemdas, left to right)

Equation:
2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000

Answers

The value of the expression 2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 is 400000

How to solve the equation?

The equation is given as:

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000

From the question, we understand that the expression is to be solved from left to right (without using the pemdas mathematical rule)

So, we start by multiplying 2 and 4

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 8 + 48000 / 8 - 1 x 30 x 2 + 40000

Add 8 and 48000

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 48008 / 8 - 1 x 30 x 2 + 40000

Divide 48008 by 8

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 6001 - 1 x 30 x 2 + 40000

Subtract 1 from 6001

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 6000 x 30 x 2 + 40000

Multiply 6000 and 30

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 180000 x 2 + 40000

Multiply 180000 by 2

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 360000 + 40000

Evaluate the sum

2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 = 400000

Hence, the value of the expression 2 x 4 + 48000 / 8 - 1 x 30 x 2 + 40000 is 400000

Read more about expressions at

https://brainly.com/question/723406

#SPJ1

Find the mean of the following data set: 9, 12, 7, 13, 21, 10, 12, 4

Answers

Answer:

11

Step-by-step explanation:

9 + 12 + 7 + 13 + 21 + 10 + 12 + 4

21 + 20 + 31 + 16

41 + 47

88

88 / 8 = 11

(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)

(5x – 3)(
x +
)

Answers

Answer:

(4x+5)

Step-by-step explanation:

4x(5x-3)+5(5x-3)

collecting like terms, first part is (5x-3) hence second part of the equation is (4x+5) from the equation above.

Answer:

Step-by-step explanation:

(20x2 – 12x) + (25x– 15)

4x(5x – 3) + 5(5x – 3)

(( (5x – 3)(4x +5) ))

A phone company offers two monthly plans. Plan A costs $20 plus an additional $0.08 for each minute of calls. Plan B costs $16 plus an additional $0.13 for each minute of calls. For what amount of calling do the two plans cost the same? minutes What is the cost when the two plans cost the same? ​

Answers

20 + 0.08x = 16 + 0.13x
20 - 16 = 0.13x - 0.08x
4 = 0.05x
x = 80 minutes

20 + 0.08(80) = 16 + 0.13(80)
20 + 6.4 = 16 + 10.4
$26.40
Other Questions
Armando tiene 25 chocolates en una caja y caja y cada chocolate tiene un relleno de 4 posibles fresa, mora y pia. De los 25 chocolates de la caja de armando sabes que tiene 8 tienen relleno de mora y 5 de pia si una persona torna al azar un chocolate de la caja cuales de la posibles posibilidades se puede calcular If a speaker delivers a successful extemporaneous presentation, how will it seem to the audience? No other cell in your body has the structure of a neuron. based on your knowledge of form and function, what can you infer from this? What position did president cleveland take in the 1895 border dispute between venezuela and british guiana that tested the monroe doctrine? Write a program to demonstrate doubly linked list using pointers insert (beginning, end, middle), delete(beginning, end, middle),view) What was "The Bridge"? Is the symbol that represents the cost of raising capital through retained earnings in the weighted average cost of capital (wacc) equation? What is the final value of acctbalance after the script above executes? write your answer to two decimal places. How did le corbusier describe the home? a. ) a home is one's castle. b. ) a home is a utopia for living. c. ) a home is an ancient temple for living. d. ) a home is a machine for living The following formula models the number of automobiles, A,in thousands, that Washington residents purchased x years after 1980.A=2x2+24x+300A) Write an equation that you can use to determine the first year in which residents purchased approximately 566 thousand cars.B) Now solve your equation and specify the first year (for example, enter 2019 and not 39) in which residents purchased approximately 566 thousand cars. The recidivism rate, which is the percentage of released convicts who are rearrested, is _____ within three years of release. Under appropriate conditions, nitrogen and hydrogen undergo a combination reaction to yield ammonia: N2 (g) + 3H2 (g) 2NH3 (g) A 9.3-g sample of hydrogen requires ________ g of N2 for a complete reaction. Instructions: Find the missing side. Round your answer to thenearest tenth.x=3038X American colonizers forced the native peoples of the americas from their indigenous lands onto reservations along the frontier. this is an example of:________ As we go from home operation to international operations, we can potentially receive a _______, but we can also see our ______ increase Which team member arrived early in los angeles to organize prayer teams for the 1949 crusade? The full-time job not worked by a college student (and the wages not earned) because she has to spend a lot of time studying is an example of? Listed below are systolic blood pressure measurements (in mmHg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 85 mm Hg. Use a significance level of 0.05. Landon Wallin is an auto mechanic who wishes to start his own business. He will need $4200 to purchase tools and equipment. Landon decides to finance the purchase with a 36-month fixed installment loan with an APR of 5.5% a) Determine Landon's finance charge. b) Determine Landon's monthly payment. At an airport screening, every 4th passenger will be selected to have their hands swabbed to screen for traces of explosives. Which sampling method is being used