i don’t understand graphs

I Dont Understand Graphs

Answers

Answer 1

Answer:

y ≤ 2.5x + 5

Step-by-step explanation:

first step is to obtain the equation of the line in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m = [tex]\frac{5-0}{0-(-2)}[/tex] = [tex]\frac{5}{0+2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = 2.5x + 5 ← equation of line

since the line is solid then inequality will be ≤

the solution to the inequality is the blue region below the line , then

y ≤ 2.5x + 5 ← inequality represented by graph


Related Questions

Please help me solve this, random answers will be removed.

Answers

Answer:

See below

Step-by-step explanation:

Here is one way .... I showed you how to use Law of cosines in another Q

 use this to find  CB

CB^2 = 13^2 + 21^2 - 2(13)(21) cos 91      <==== solve for CB

THEN use law of SINES to find angle B

sin B / 21  =  sin 91 / CB           (CB you found using law of cosines above)

Answer:

m∠B = 57.5°

Explanation:

Use cosine rule:

a² = b² + c² - 2bc cos(A)

  inserting values

a² = 21² + 13² - 2(21)(13) cos(91)

a² = 619.529

a = √619.529

a = CB = 24.89 km

Then use sine rule:

sin(A)/a = sin(B)/b

sin(91)/24.89 = sin(B)/21

sin(B) = 21sin(91)/24.89

sin(B) = 0.843583...

B = sin⁻¹(0.843583) = 57.52° ≈ 57.5°

Alina measured a distance to be 2.18 miles. what is the margin of error? 2.1 miles to 2.2 miles 2.175 miles to 2.185 miles 2.185 miles to 2.195 miles 2.2 miles to 2.3 cm

Answers

Answer:

  (b)  2.175 miles to 2.185 miles

Step-by-step explanation:

When a value is rounded, the original "exact" value is presumed to be within 1/2 of the value of one least-significant unit of the rounded number.

Application

A rounded value of 2.18 has a least-significant digit with a place value of 0.01 units. Half that value is the "margin of error". That is, the range of numbers that would be rounded to 2.18 is ...

  2.18-0.005 ≤ x < 2.18+0.005

  2.175 ≤ x < 2.185 . . . . miles

Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1

Answers

The series converges to  1/(1-9x) for -1/9<x<1/9                  

Given the series is  ∑ [tex]9x^{n} x^{n}[/tex]

We have to find the values of x for which the series converges.

We know,                

∑ [tex]ar^{n-1}[/tex]    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ [tex](9x)^{n}[/tex] is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

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Please help me asap due at 5:00

Answers

Answer:

11/18.

Dan is 8.

Step-by-step explanation:

The initial fraction is

x / 2x-4

Adding 3/3 we have

x+3 / 2x-1 = 2/3

Cross multiply:

3(x+3) = 2(2x-1)

3x + 9 = 4x - 2

9 + 2 = 4x - 3x

11 = x,

So the original fraction was 11 / 2(11) - 4

= 11/18.

If Dans age is d then Lois's age = 4d.

So 4d + d  = 40

5d = 40

d = 8.

So Dan is 8 years old.


Given that y is inversely as x+3 and that y=4 when x =2 (a)express y in terms of x (b)find the value of y when x =5 .

Answers

a. Expressing y in terms of x, y = 20/(x + 3)

b. When x = 5, the value of y is 2.5

The question has to do with inverse variation.

What is inverse variation?

Inverse variation is variation in which one quantity varies inversely as the other.

a. How to express y in terms of x?

Given that y is inversely as x + 3 and that y = 4 when x = 2.

Since y varies inversely as x + 3, we have

y ∝ 1/(x + 3)

y = k/(x + 3)

When y = 4, x = 3. So

y = k/(x + 3)

4 = k/(2 + 3)

4 = k/5

k = 4 × 5

k = 20

So, y = k/(x + 3)

y = 20/(x + 3)

So, expressing y in terms of x, y = 20/(x + 3)

b. Find the value of y when x = 5.

Since  y = 20/(x + 3)

Substituting x = 5 into the equation, we have

y = 20/(x + 3)

y = 20/(5 + 3)

y = 20/8

y = 5/2

y = 2.5

So, when x = 5, the value of y is 2.5

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For a given rabbit population, the relationship between the number of adult female rabbits, F, and the number of offspring, R, that survive to maturity, is given by this equation: R=3+(350F/F+625)

Answers

Considering the given function in the problem, it is found that:

a. 9.6 offspring survive to maturity when there are 12 female rabbits in the population.

b. At least 18 female rabbits are required for there to be 13 offspring.

What is the given function in this problem?

The function gives the relationship between the number of adult female rabbits F and the number of offspring R as follows:

[tex]R = 3 + \frac{350F}{F + 625}[/tex]

When there are 12 female rabbits, we have that F = 12, hence:

[tex]R = 3 + \frac{350 \times 12}{12 + 625} = 9.6[/tex]

9.6 offspring survive to maturity when there are 12 female rabbits in the population.

For at least 13 offspring, we have that the number of rabbits needed is given as follows:

[tex]R \geq 13[/tex]

[tex]3 + \frac{350F}{F + 625} \geq 13[/tex]

[tex]\frac{350F}{F + 625} \geq 10[/tex]

[tex]350F \geq 10F + 6250[/tex]

[tex]F \geq \frac{6250}{340}[/tex]

[tex]F \geq 18[/tex]

At least 18 female rabbits are required for there to be 13 offspring.

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Bryan's Boutique sells shirts, skirts, shoes and hats. If Bryan sells 3 types of shirts, 6 types of skirts, 8 types of bracelets and 2 types of hats, how many different outfits can a customer put together if an outfit must include one shirt, one skirt, one bracelet and one hat?

Answers

Using the Fundamental Counting Theorem, it is found that the customer can put together 288 different outfits.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

Bryan sells 3 types of shirts, 6 types of skirts, 8 types of bracelets and 2 types of hats, hence the parameters are given as follows:

[tex]n_1 = 3, n_2 = 6, n_3 = 8, n_4 = 2[/tex]

Hence the number of different outfits is given as follows:

N = 3 x 6 x 8 x 2 = 288

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What is the probability of selecting a male from a group of 4 male and 8 female

Answers

Answer:0.333

Step-by-step explanation:4+8=12 so there is only 4 chances it can be male so 4/12=0.333

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

probability (P) is calculated as

P = (desired result ) ÷ ( number of possible results )

here desired result is choosing a male from 4 males

number of possible results = 4 + 8 = 12 , then

P( male) = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

Add 77 -10 with its additive inverse.​

Answers

Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.

Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird

Write the event as set of outcomes. when we roll two dice, the total showing is eight.

Answers

The numbers below show the number on each dice.
3 5
5 3
4 4
2 6
6 2
Hope this helps, would appreciate brainliest

Any help is appreciated!

Answers

Answers are
a= 40
b= 50
c=115

a = 40 because it’s a vertical angle to 40, congruent / the same.
b= 50 because the right triangle will equal 180 degrees. 180 - 90 - 40 = 50.
c = 115 because the supplementary angle shown will equal 180 degrees. 180-65 = 115.

Answer:

∠a=40°, ∠b=50°, ∠c=115°.

Step-by-step explanation:

∵The opposite vertex angles are equal,

∴∠a=40°.

∴∠b=90°-∠a=90°-40°=50°.

∠c=180°-65°=115°.

How many diagonals does a regular n-gon have? ( An n-gon is a regular polygon with n sides)

Answers

Answer:

Use this equation to find out!

Step-by-step explanation:

Since you didn't specify the n-gon, you have to use this equation to find out!

Number of Diagonals = n(n-3)/2

Hope this helps! :)

Find an equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0)

Answers

The equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

Equation of a straight line

From the question, we are to determine the equation of the line parallel to the given equation and that passes through the given point

Lines that are parallel to each other will have the same slope.

First, we will determine the slope of the line in the given equation.

The given equation of the line is

8x − 3y = 1

Express the equation in the slope-intercept form of a line, y = mx + b

Where m is the slope and

b is the y-intercept

That is,

8x − 3y = 1

8x -1 = 3y

3y = 8x - 1

y = 8/3(x) - 1/3

By comparing,

∴ The slope of the line is 8/3

Since we are to find the equation of a line parallel to this, the slope of the line will also be 8/3

Now, find the equation of a line containing the point (-2, 0) and that has  a slope of 8/3

Using the point-slope form of a line

y - y₁ = m(x - x₁)

x₁ = -2

and y₁ = 0

∴ y - 0 = 8/3(x - -2)

y = 8/3(x +2)

3y = 8(x +2)

3y = 8x + 16

8x -3y = -16

Hence, the equation of the line parallel to 8x − 3y = 1 and containing the point (−2, 0) is 8x -3y = -16

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April was asked to determine whether f(x)=x^3 -1 is even, odd, or neither. Here is her work:

Answers

April's work in checking for the function, [tex]f(x) = x^3 - 1[/tex], to be even, odd, or neither, is incorrect. She did a mistake in step 2, where she took [tex]f(-x) = - f(x)[/tex], which was not true, since [tex]f(-x) = -x^3 - 1[/tex], whereas [tex]- f(x) = -x^3 + 1[/tex].

A function f(x) is said to be odd or even when it completes the condition:

f(-x) = -f(x), for f(x) to be an odd function, andf(-x) = f(x), for f(x) to be an even function.

In the question, we are given that April was asked to determine whether  [tex]f(x) = x^3 - 1[/tex], is even, odd, or neither, and are shown her work.

We are asked whether April's work is correct, and if not, what is the first step where April made a mistake.

To check for a function is even or odd, we first calculate f(-x).

April's first step was also finding f(-x), which she found accurately as  [tex]f(-x) = -x^3 - 1[/tex].

Next, we need to check whether f(-x) is equal to f(x), -f(x), or neither, to check if the function is even, odd, or neither, respectively.

April, also choose the right step of checking, but did a mistake in checking, since f(-x) ≠ f(x), and also, f(-x) ≠ - f(x), since, [tex]- f(x) = -(x^3 - 1)[/tex] = [tex]-x^3 + 1[/tex], which is not equal to f(-x).

Thus, April's work in checking for the function, [tex]f(x) = x^3 - 1[/tex], to be even, odd, or neither, is incorrect. She did a mistake in step 2, where she took f(-x) = - f(x), which was not true, since [tex]f(-x) = -x^3 - 1[/tex], whereas [tex]- f(x) = -x^3 + 1[/tex].

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You are wearing a pair of cargo pants with six pockets. you put $10 on one of those pockets, but you cannot remember which one after checking two pockets without success, what is the possibility that the money will be in the next park view check?

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

According to the given information ,there still 4 pockets to check .

Then

the possibility that the money will be in the next pocket :

[tex]=\frac{1}{4}[/tex]

Answer: Answer above me is correct

PLEASE ANSWER THIS IT'S 30 POINTS

Answers

Answer:

Step-by-step explanation:

since we know that the 50 degrees is one side of the line then the angle that is strait opposite from this angle is 50 degrees, so 50+60=110degrees and 180-110=70, so x=70 degrees

A man is 32 years older than his son. Ten years ago he was three times as old as his son was then. Find the present age of each

Answers

Answer:

Son: 26 yrs. Dad: 58 yrs.

Step-by-step explanation:

Let s equal to the present age of the son and let d equal to the present age of the dad. We can make two equations based on the information given to us. The first is about the fact that the dad is 32 yrs. older than the son:

d = s+32

the second is about the fact that 10 yrs. ago, he was triple his son's age.

d-10 = 3(s-10)

We can use the distributive property and we have:

d-10 = 3s-30

Then, let's add 10 to each side:

d = 3s-20

We can substitute the first equation into the second, resulting in:

s+32 = 3s-20

Adding 20 to both sides:

s+52 = 3s

2s = 52

s = 26

Now that we have the son's age, the dad's age is 26+32 = 58.

Son's age: 26

Dad's age: 58

Evaluate the expression w2 - v+ 1 for W = -2 and v = -8.

A. -11
B. 5
C. 13
D. -3

Answers

Answer:

13

Step-by-step explanation:

w^2 = -2^2 = 4

-v = -1*-8 = 8

Put it together: w^2-v+1 --> 4+8+1 = 13

Which steps could be part of the process in algebraically solving the system of equations, y 5x = x2 10 and y = 4x – 10? select two options.

Answers

The step that is the part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10 and (E) 0 = x2 – 9x + 20.

What is an equation?An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.

To find the step that is the part of the process of algebraically solving the given system of equations:

That would be:

(C) 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substituted for y).

Proof:      

y + 5x = x² + 10(4x - 10) + 5x = x² + 104x - 10  =  x² -5x + 10

(E) 0 = x2 – 9x + 20  (liked terms are grouped and simplified).

Proof:      

4x - 10  =  x² -5x + 104x = x² -5x + 10 + 100  = x² -5x -4x + 200  = x² - 9x + 20

Solving:

x² - 9x + 20 = 0 x² - 5x - 4x + 20 = 0(x - 5) (x - 4)  = 0x = 4  (as question says) OR x = 5

Therefore, the step that is part of the process of algebraically solving the given system of equations is (C) 4x – 10 = x2 – 5x + 10.

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The complete question is given below:
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Check all that apply.

(A) y = x2 + 5x + 10

(B) y + 5x = x2 + 10 + 4x – 10

(C) 4x – 10 = x2 – 5x + 10

(D) 0 = x2 – 9x

(E) 0 = x2 – 9x + 20

(F) One x-value of a solution to the system is 4.

PLEASE HELP IM SO STUCK

Answers

Answer:

(-4,0) , (0,9)

Step-by-step explanation:

x-intercept is the point where the line touches the x-axis, which means, y = 0.

So when y = 0,

-9x + 4(0) = 36

-9x = 36

x = [tex]\frac{36}{-9}[/tex]

x = -4

Therefore, the coordinates of the x - intercept is (-4,0)

y-intercept is the point where the line touches the y-axis, which means , x = 0.

so when x = 0,

-9(0) + 4y = 36

4y = 36

y = [tex]\frac{36}{4}[/tex]

y = 9

Therefore, the coordinates of the y - intercept is (0,9)

Answer:

x - intercept (-4,0)

y -intercept (0,9)

Step-by-step explanation:

Put in 0 for x.

-9(0) + 4y = 36

4y = 36  Divide both sides by 4

y = 9

(0,9) This is where the line will cross the y axis.

Put in 0 for y

-9y + 4(0) = 36

-9y = 36 Divide both sides by -9

Y = -4

What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)? f(x) = 5x2 x 3

Answers

The solutions to the system of equations involving quadratic function f(x) and linear function g(x) are (-1,5) and (4/3,29/3), respectively.

What is a polynomial function?A polynomial function is a relationship in which a dependent variable equals a polynomial expression. A polynomial expression is one that has numbers and variables that are raised to non-negative powers.

To find the solution to the given system of equations:

A polynomial expression has the following generic form:a₀ + a₁x + a₂x² + a₃x³ + ... + aₙxⁿ.The degree of the polynomial expression has the greatest power on a variable.When degree = 2, the function is quadratic.When degree = one, the function is linear.

Given quadratic equation: f(x) = 3x^2 + x + 3

We must solve the linear equation g(x). Because it is a linear equation, we utilize the two-point approach to solve it.

The two point formula is: y-y₁ = ((y₂-y₁)/(x₂-x₁))*(x-x₁)

We take the points g(2) = 11, g(1) = 9

g(x) - g(1) = ((g(2)-g(1))/(2-1))*(x-1)

or, g(x) - 9 = ((11-9)/(2-1))*(x-1)

or, g(x) - 9 = 2(x-1)

or, g(x) = 2x - 2 + 9 = 2x + 7

g(x) = 2x +7, is the linear function g(x)

We are asked to solve the system of equations f(x) and g(x).

To get the solution, we must first determine what is the common solution to both f(x) and g(x).

For that, we equate f(x) and g(x).

3x² + x + 3 = 2x + 7

or, 3x² - x - 4 = 0

or, 3x² + 3x - 4x - 4 = 0

or, 3x(x+1) -4(x+1) = 0

or, (3x-4)(x+1) = 0

∴ Either 3x-4=0 ⇒ x = 4/3

or, x+1=0 ⇒ x = -1.

g(-1) = 5 (from the table)

f(-1) = 3(-1)² + (-1) + 3 = 3 - 1 + 3 = 5

g(4/3) = 2(4/3) + 7 = 8/3 + 21/3 = 29/3

f(4/3) = 3*(4/3)² + (4/3) + 3 = 16/3 + 4/3 + 9/3 = 29/3

∴ f(-1) = g(-1) and f(4/3) = g(4/3).

Therefore, the solution to the system of equations that includes quadratic function f(x) and linear function g(x) is (-1,5) and (4/3,29/3).

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The correct question is given below:

What is a solution to the system of equations that includes quadratic function f(x) and linear function g(x)?

f(x) = 3x^2 + x + 3

What is a fitted value for a multiple regression model and the data that is used to create it?

Answers

Fitted value is a prediction of the mean response value.

According to the statement

we have to explain the fitted value for the regression model and the data which uses to collect the value.

So, For this purpose, we know that the  

A Fitted value is a statistical model's prediction of the mean response value when you input the values of the predictors, factor levels, or components into the model.

An the fitted value used in this model is called the predicted values of response variable in the case of multiple regression model.

And data which is used to create the fitted value is the simple data by which we create the fitted value by the predict the value of given data.

So, Fitted value is a prediction of the mean response value.

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A bag contains blue, orange and red jelly beans only there are 6x blue jelly beans, 2x-3 orange jelly beans and 15-x red jelly beans there are a total of 54 jelly beans in the bag.
a) how many orange jelly beans are there in the bag?
b) how many blue jelly beans are there in the bag?​

Answers

Answer:

a.9

b.36

Step-by-step explanation:

Blue beans + orange beans + red beans = 54

6x + 2x-3 + 15-x = 54

6x+2x-x=54+3-15

7x=42

divide both sides by 7

x=6

a. orange beans = 2x-3

but x=6

2(6)-3

12-3

=9

b.blue beans =6x

6(6)

=36

Select the correct answer from the drop-down menu. consider the equations y = |x − 1| and y = 3x 2. the approximate solution of this system of equations is .

Answers

The approximate solution of this system of equations is

(x,y)=(-0.25,1.25)

What is an equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.

Given that,

y = |x − 1| and y = 3x+2

 y = |x − 1|

    = (x-1) ,    for  (x-1)>0 or x>1

and

y = -(x-1)  ,    for(x-1)<0  or x<1

y  = -x+1      

Now,   For x>1

y = x-1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = x-1

→ 3x-x = -1-2

→ 2x = -3

→ x = -3/2

→ x = -1.5 which is <1.

For x<1

y = -x+1    ......(1)

y = 3x+2   ......(2)

Solving for x by equaliting's method:

 3x+2 = -x+1

→ 3x+x = 1-2

→ 4x = -1

→ x = -1/4

→ x= -0.25 which is <1.

substitute the value of x = -0.25 in equation 1 for x<1.

y = -x+1

  = -(-0.25)+1

y  = 1.25

Hence, The approximate solution of this system of equations is

(x,y)=(-1/4,5/4)=(-0.25,1.25).

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What is the measure of ∠w, rounded to the nearest degree? 19° 19° 32° 32° 56° 56° 71° 71° a horizontally-aligned scalene triangle u v w. side u v is labeled as 35 meters. side v w is labeled as 30 meters. side u w is labeled as 30 meters.

Answers

Answer:

  (d)  71°

Step-by-step explanation:

The desired angle in the given isosceles triangle can be found a couple of ways. The Law of Cosines can be used, or the definition of the sine of an angle can be used.

Sine

Since the triangle is isosceles, the bisector of angle W is an altitude of the triangle. The hypotenuse and opposite side with respect to the divided angle are given, so we can use the sine relation.

  sin(W/2) = Opposite/Hypotenuse

  sin(W/2) = (35/2)/(30) = 7/12

Using the inverse sine function, we find ...

  W/2 = arcsin(7/12) ≈ 35.685°

  W = 2×36.684° = 71.37°

  W ≈ 71°

Law of cosines

The law of cosines tells you ...

  w² = u² +v² -2uv·cos(W)

Solving for W gives ...

  W = arccos((u² +v² -w²)/(2uv))

  W = arccos((30² +30² -35²)/(2·30·30)) = arccos(575/1800) ≈ 71.37°

  W ≈ 71°

The rectangles below have the same perimeter.

Rectangle:A Base=3 height=9
Rectangle B:base=4

Answers

Answer:

32 mm²

Step-by-step explanation:

perimeter of left rectangle = 2(9 mm + 3 mm) = 24 mm

length of right rectangle = L

perimeter of right rectangle = 2(L + 4 mm) = 2L + 8

perimeter of right rectangle = 24 mm

The perimeter of the right triangle is 2L + 8 and also 24, so 2L + 8 must equal 24. We can solve for L and find the length of the right rectangle.

2L + 8 = 24

2L = 16

L = 8

area of right triangle = length × width

area = 8 mm × 4 mm

area = 32 mm²

**Disclaimer** Hi there! I assumed the purple triangle to be the one on the right. The following answer will be according to this understanding. If I am wrong, please let me know and I will modify my answer.

Answer: [tex]\Large\boxed{Area=32~mm^2}[/tex]

Step-by-step explanation:

Given information

Rectangle A:

Base (b) = 3 mmHeight (h) = 9 mm

Rectangle B:

Base (b) = 4 mmHeight (h) = ?

Both rectangles have the same perimeter

Given formula

1) P = 2 (b + h)

P = Perimeterb = baseh = height

2) A = b × h

A = Perimeterb = baseh = height

Find the height of rectangle B

Substitute values into 1) formula to find the perimeter of rectangle A

P = 2 (b + h)

P = 2 (3 + 9)

Simplify by addition

P = 2 × 12

Simplify by multiplication

P = 24 mm

Substitute values into 1) formula to find the perimeter of rectangle B

P = 2 (b + h)

24 = 2 (4 + h)

Divide 2 on both sides

24 / 2 = 2 (4 + h) / 2

12 = 4 + h

Subtract 4 on both sides

12 - 4 = 4 + h - 4

h = 8 mm

Find the area of rectangle B (Purple)

Substitute values into 2) formula

A = b × h

A = 4 × 8

Simplify by multiplication

[tex]\Large\boxed{Area=32~mm^2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Which describes the combined variation shown in the equation F = kxy/z?

1) F varies directly with x, and inversely with y
and z.
2)F varies directly with z, and inversely with x
and y.
3)F varies directly with y, and inversely with x and z.
4) F varies directly with x and y, and inversely
with z.

Answers

Answer:

option 4

Step-by-step explanation:

F = [tex]\frac{kxy}{z}[/tex]

k is the constant of variation

• if the variables are on the numerator they vary directly

• if the variables are on the denominator they vary inversely

In this case F varies directly with x and y ( variables on numerator ) and inversely with z ( variable on denominator )

HELP: If you multiply both sides of an inequality by a negative number when should you reverse the inequality symbol?

A. Sometimes
B. Always
C. Never
D. Depends on if the number is a fraction of not

Answers

Based on the task content; If you multiply both sides of an inequality by a negative number, the inequality symbol should be reversed always. Option B

Multiplication of inequality

Based on the rule of inequality, whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign.

For instance,

-4x > 12

divide both sides by -4

x < 12/-4

x < -3

If you multiply both sides of an inequality by a negative number, the inequality symbol should be reversed always.

Learn more about inequality:

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Help!!

why might you choose to write a recursive formula rather than an explicit formula to define a sequence

a. you need to know the 54th term in the sequence

b. the sequence is neither arithmetic or geometric

c. you need to know the value of three non-sequential terms in the sequence

d. the sequence is strictly geometric

Answers

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

What is a sequence?A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the series is defined as the number of items (which could be infinite). Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important. Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point. The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

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Answer: (D)

Step-by-step explanation:

took quiz

Shandra drove 220 miles in 5 hours. if she continued at the same rate, how long would it take to travel 352 miles?

Answers

Answer:

8 Hours

Step-by-step explanation:

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

[tex]\frac{220}{5}x=352[/tex]

Multiply both sides by 5

[tex]220x=1760[/tex]

Divide both sides by 220

[tex]x=8[/tex]

Therefore it would take 8 hours.

8 Hours long would it take to travel 352 miles,

What is speed?

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined. The SI unit system is most frequently used to express speed units. In that system, since distance is measured in metres and time is measured in seconds, speed is expressed in metres per second, or m/s. Three components make up the speed formula: distance, time, and speed.

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

Multiply both sides by 5

Divide both sides by 220

Hence, it would take 8 hours.

Learn more about speed from the link

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