3. What is the solution of the system of equations 3x +2y =10 and – 6x – y=-14?

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Find the values of m and b using the form y=mx+b y = m x + b . The slope of the line is the value of m , and the y-intercept is the value of b .

Step-by-step explanation:

Answer:

let me see what i can do

Step-by-step explanation:

isolate the variable by dividing each side by factors that don´t contain the variable x = - 4/11 + 6/11

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

Step-by-step explanation:

Step 1:  Distribute

[tex]3(5x - 10) < 30x[/tex]

[tex](3 * 5x) + (3 * -10) < 30x[/tex]

[tex]15x - 30 < 30x[/tex]

Step 2:  Subtract 15x from both sides

[tex]15x - 15x - 30 < 30x - 15x[/tex]

[tex]-30 < 15x[/tex]

Step 3:  Divide both sides by 15

[tex]-30 / 15 < 15x / 15[/tex]

[tex]-2 < x[/tex]

Answer:  [tex]x > -2[/tex]

Answer:

Circle A: 265.9 cm²

Circle B: 2002.96 inches²

Step-by-step explanation:

Hi there!

Circle A

[tex]A=\pi r^2[/tex] where r is the radius of the circle

Plug in the radius 9.2 cm

[tex]A=\pi (9.2)^2\\A=84.64\pi \\A=265.90[/tex]

Therefore, the area of the circle is 265.9 cm² when rounded to the nearest hundredth.

Circle B

[tex]A=\pi (\frac{d}{2}) ^2[/tex] where d is the diameter of the circle (because radius=diameter/2)

Plug in the diameter 50.5 inches

[tex]A=\pi (\frac{50.5}{2}) ^2\\A=\pi (25.25) ^2\\A=637.5625\pi \\A=2002.96[/tex]

Therefore, the area of the circle is 2002.96 inches² when rounded to the nearest hundredth.

I hope this helps!

Answer:

The 10th person who enters the mall about their fav cookie.

Step-by-step explanation:

in a concert they went there bcs they like that band. In the sport one they like that sport team so they watch it. The sisth grade one is just wrong bcs it just is.

Answer:

The total value of the discount was $10.80.

Step-by-step explanation:

Since we are finding the value of the discount, we just need to find 18% of 60.

We can convert 18% into a decimal.

18%=0.18

Multiply.

0.18*60=10.8

The total value of the discount was $10.80.

Answer:

15 2/3, or 47/3

Step-by-step explanation:

I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5.  Double check on this right now, please.

If I'm right, then evaluate f(x) at x = 0 and x = 8:

f(0) = 5

and

f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133  - (2 2/3), or:   130 1/3

Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:

               130 1/3 - 5         125 1/3

a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3

                    8 - 0                  8

The average rate of change of the function [tex]f(x)=2x-\frac{1}{3} x+5[/tex] over the interval [tex]x = 0[/tex] to [tex]x = 6[/tex] will be [tex]\frac{5}{12}[/tex] .

Average rate of change of the function is a rate of change of the function, on an average, over the given interval. i.e. values of [tex]x[/tex] and [tex]y[/tex] .

Using slope formula we find Average rate of change of the function.

i.e. [tex]f(x)=\frac{f(x_{2} )-f(x_{1} )}{x_{2}-x_{1}}[/tex]

We have,

[tex]f(x)=2x-\frac{1}{3} x+5[/tex]

[tex]x_{1} = 0[/tex] to [tex]x_{2}= 6[/tex]

So,

First find [tex]f(x_{1})[/tex],

[tex]f(x_{1})=2x-\frac{1}{3} x+5[/tex]

[tex]f(0)=2*0-\frac{1}{3} *0+5[/tex]

[tex]f(x_{1})=5[/tex]

Now, find [tex]f(x_{2})[/tex],

[tex]f(x_{1})=2x-\frac{1}{3} x+5[/tex]

[tex]f(2)=2x*2-\frac{1}{3} *2+5[/tex]

[tex]f(2)=4-\frac{2}{3}+5=9-\frac{3}{2}[/tex]

[tex]f(x_{2})=\frac{15}{2}[/tex]

Now, putting values of [tex]f(x_{1})[/tex] and [tex]f(x_{2})[/tex] in given formula of  [tex]f(x)[/tex],

i.e.

[tex]f(x)=\frac{f(x_{2} )-f(x_{1} )}{x_{2}-x_{1}}[/tex]

[tex]f(x)=\frac{\frac{15}{2}-5 }{6-0}[/tex]

[tex]f(x)=\frac{\frac{15-10}{2} }{6}[/tex]

[tex]f(x)=\frac{5} {12}[/tex]

So, the average rate of change of the function is [tex]\frac{5}{12}[/tex], which is find out using the slope formula.

Hence, we can say that the average rate of change of the function [tex]f(x)=2x-\frac{1}{3} x+5[/tex] over the interval [tex]x = 0[/tex] to [tex]x = 6[/tex] will be [tex]\frac{5}{12}[/tex] .

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Answer:

1:3

Step-by-step explanation:

Down arrows: 4 out of 12

4:12

1:3

Answer:

4:12, 4 to 12, or 4/12

Step-by-step explanation:

this is so simple, first see how many down arrows are there

down arrows: 4

then count the total arrows

total: 12

down arrows to total arrows

4:12

Answer:

A point on either side of the line

Step-by-step explanation:

To determine which side to shade, you look at a point on each side of the line.  One will make the inequality true  and one will not.  Shade on the side that will make the inequality true

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

Answer:

4, know that in a slope-intercept form the coefficient of x is the slope.

Step-by-step explanation:

Answer:

Slope is 4

Step-by-step explanation:

Answer:

She needs 280 grams of almond flour.

Step-by-step explanation:

This question can be solved using a rule of three.

400 grams is 100% = 1. How much is 70% = 0.7?

400 grams - 1

x grams - 0.7

x = 400*0.7

x = 280

She needs 280 grams of almond flour.

Answer:

120g

Step-by-step explanation:

70% of flour in 400g is expressed as

= 70/100×400

=0.7×400

=280g

Therefore, the amount of almond flour to be used by Mrs Garcia in making the recipe is

=400g-280g

=120g

Thus, Mrs Garcia requires 120g of almond flour

x^2 + 16 - 46 = x^2 + 16 + 8^2 - 46 - 8^2 = (x + 8)^2 - 110

Answer:

[tex]f(x)=(x+8)^{2}-110[/tex]

Step-by-step explanation:

[tex]f(x)=x^{2}+16x-46 \\=x^{2}+2\times 8\times x-46 \\=x^{2}+16x+8^2-8^2-46 \\=(x+8)^{2}-64-46\\f(x)=(x+8)^{2}-110[/tex]

The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

Answer:

Sometimes in math we describe an expression with a phrase. For example, the phrase

   "2222 more than 5555"

can be written as the expression

   2+52 + 52+52, plus, 5.

Similarly, when we describe an expression in words that includes a variable, we're describing an algebraic expression (an expression with a variable).

For example,

   "3333 more than xxxx"

can be written as the algebraic expression

   x+3x+ 3x+3x, plus, 3.

But why? Why use math if we can describe things in words? One of the many reasons is that math is more precise and easier to work with than words are. This is a question you should keep thinking about as we dig deeper into algebra.

Different words for addition, subtraction, multiplication, and division

Here is a table that summarizes common words for each operation:

Operation Words Example algebraic expression

Addition plus, sum, more than, increased by x+3x + 3x+3x, plus, 3

Subtraction subtracted, minus, difference, less than, decreased by p−6p - 6p−6p, minus, 6

Multiplication times, product 8k8k8k8, k

Division divided, quotient a÷9a \div 9a÷9a, divided by, 9

For example, the word "product" tells us to use multiplication. So, the phrase

   "the product of 8888 and kkkk

Let's take a look at a trickier example

Write an expression for "mmmm decreased by 7777".

Notice that the phrase "decreased by" tells us to use subtraction.

So the expression is m−7m - 7m−7m, minus, 7.

Answer:

0.9452

Step-by-step explanation:

Answer for Khan academy

The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

We can start by standardizing the sports bicycle price using the formula:

z = (x - μ) / σ

where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.

Substituting the values, we get:

z = (380 - 300) / 50 = 1.6

Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.

From the z-table, we find that this proportion is approximately 0.9452.

Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

Learn more about the z-score here:

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The formula for the area of a circle is A = pi x (radius^2).

We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.

radius = 6 / 2 = 3 units

Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.

A = pi x 3^2

A = 9pi

A = 4.5pi = 14.13 units^2

Hope this helps! :)

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...(◕ᴗ◕✿)

Answer:

That means that the roller coaster can be 800 feet or taller

which means greater than or equal to

r≥800

Step-by-step explanation:

Answer:

y is greater than or equal to 800 feet

Step-by-step explanation:

It says it is at least 800 feet, so it has to be higher than 800

Answer:

show the a pic

Step-by-step explanation:

Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Answer:

17/12 or 1 5/12

Step-by-step explanation:

Answer:

2.5x10^1

Step-by-step explanation:

When the first number goes down, add one to the 10's power

Answer:

2.5x10∧1

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

its a because i looked it up and it said a

Answer:

Step-by-step explanation:

hello : 2x+5y= - 6

1) the x-intercept when y=0 : 2x+5(0)= -6

means : 2x=-6   so : x=-6/2 = -3

2) the y-intercept when x=0 : 2(0)+5y= -6

means : 5y=-6   so : x=-6/5

Answer:

8.a 9.acb

Step-by-step explanation:

good luck

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

Answer:

40320

Step-by-step explanation:

8! to --> 8*7*6*5*4*3*2*1

=40320

Answer:

4 miles per hour is the speed

Answer: 4 miles per hour

Step-by-step explanation:

distance=1/2miles=0.5miles

time=1/8hours=0.125hours

Speed=distance ➗ time

Speed =0.5 ➗ 0.125

Speed =4 miles per hour

Answer:

y − y1 = m(x − x1)

m  = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2

y - 6 = -1/2 (x - (-1))

y - 6 = -1/2 (x + 1)

y - 6 = -1/2x - 1/2

Step-by-step explanation:

Answer:

$915.92

Step-by-step explanation:

i = p(1 + r)^t

i = $800(1 +.07)^2

i = $800(1.07)^2

$915.92

Answer:

Beth made 60% of her shots.

Step-by-step explanation:

Given:

Total shots take = 10

Total goal = 6

Find:

Best describer this number.

Computation:

Converting goal numbers into percentage:

⇒ Total goal percentage = [Total goal/Total shots take]100

⇒ Total goal percentage = [6/10]100

⇒ Total goal percentage = 60%

Beth made 60% of her shots.

Answer:

6:10 is the ratio

Step-by-step explanation:

as a fraction it would be 6/10

as a decimal it would be 0.60 or 0.6

and she made 60% of her shots