Which graph shows a proportional relationship?

Answer:

a. 2/5

b. 1/2

c. 100/9

Step-by-step explanation:

a: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:

.12 × 100 = 12

.3 × 100 = 30

Simplify: 12/30 = 2/5

b: Multiply bottom and top by 1,000 to keep values the same and make the fraction a whole fraction:

.125 × 1,000 = 125

.25 × 1,000 = 250

Simplify: 125/250 = 1/2

c: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:

4 × 100 = 400

.36 × 100 = 36

Simplify: 400/36 = 100/9

Answer:

$15.98

Step-by-step explanation:

25% off means it is 75% of its normal cost

0.75 x 20 = 15

The scarf is $15 after 25% discount. Then we calculate its final cost after tax:

6.5% = 0.065

1.065 x 15 = 15.975 which rounds to $15.98

Answer: 15.98

Step-by-step explanation: 25% off 20 is 15. 6.5% times 15 is .98 so the answer is 15.98

Answer:

Step-by-step explanation:

4(s + 50) 52 +30s + 200

Answer:

9.99103139013

Step-by-step explanation:

For the rounded version it would be 10.00 rounded to the nearest whole

Step-by-step explanation:

These aren't a perfect square bec. 1 st and 3rd terms must be perfect square

A(X) = X^2+6X +13 be perfect square if 13 Changed to 9

= X ^2+6X +9

A(x)= 2X^2+8X +14 be perfect square

= 4X ^2+ 8X + 16

Answer:

md(-2,-1)

Step-by-step explanation:

Md=(x1+x2/2,y1+y2/2)

or,Md=(-1-3/2,2-4/2)

or,Md=(-4/2,-2/2)

•°•Md=(-2,-1)

Answer:

Get the data from the table:

Median is the middle number:

Mean is the average:

Rachel and Sarah spent:

Answer:

slope=0.5

equation of the line= y=.5x+5

Step-by-step explanation:

[tex]x_{2}[/tex]-[tex]y_{2}[/tex]/[tex]x_{1}[/tex]-[tex]y_{1}[/tex] substitute your x and y values in

5.5-5/1-0=.5

5.5 is [tex]x_{2}[/tex] and 5 is [tex]y_{2}[/tex]

1 is [tex]x_{1}[/tex] and0 is [tex]y_{1}[/tex]

Hope this helps!

When they create 3.44 products and make a revenue of $76.027, they will break even.

Step-by-step explanation:

To do this, simply graph the 2 equation in a graphing calculator and analyze the graph for where the 2 graphs intersect. Discard the negative intersection because we cannot have a negative production. You should see that your intersection point is (3.441, 76.027).

Answer:

D is the answer

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

$12 per ticket

Step-by-step explanation:

if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost

36/13= $12

Answer:

.53 pounds of dog food each day.

Step-by-step explanation:

Use PEMDAS to solve

Answer:

x = 10 inches

Step-by-step explanation:

P = 2 x (L + W)

36 inches = 2 x (8 + W)

36 = 16 + 2W

2W = 20

W = 10 inches

Answer:

T=10c+2p

Step-by-step explanation:

Answer:

y=-|x − 3|

Work

y = |x − 3| + 2

-2        -2

y = |x − 3|

add a neg before the absolute value

y=-|x − 3|

Transformation involves changing the position of a graph

The equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

The equation is given as:

[tex]\mathbf{y = |x -3| + 2}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2}[/tex]

The rule of translation 2 units down is:

[tex]\mathbf{(x,y) \to (x,y-2)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2 - 2}[/tex]

[tex]\mathbf{y = -|x -3| - 4}[/tex]

Hence, the equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

Answer:

8, 6, 4, 2

Step-by-step explanation:

f(n)=-2(n-1)+8

Plug n =1

f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8

Plug n =2

f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6

Plug n =3

f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4

Plug n =4

f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2

Answer:

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is  

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y  = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

[tex]x-2y=4[/tex]

solving for y to writing the equation in the slope-intercept form and determining the slope

[tex]x-2y=4[/tex]

Add -x to both sides.

[tex]x - 2y + (-x) = 4+(-x)[/tex]

[tex]-2y = 4 - x[/tex]

Divide both sides by -2

[tex]\frac{-2y}{-2}=\frac{-x+4}{-2}[/tex]

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

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Answer:

None of the options match

Step-by-step explanation:

First let's check option 1: lines 2 and 3.

line 2 in mx+b form: y=-1/16x -5

line 3, already in mx+b form: y=-6x-7

if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.

now for the 2nd option: lines 1 and 2.

line 1 in mx+b form: y=-8x-5

line 2 in mx+b form: y=-1/16x-5

Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.

For the 3rd option: all lines

this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.

Lastly, 1 and 4.

line 1 in mx+b form: y=-8x-5

line 4 --> y+3=18x-18 --> y=18x-21

This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.

To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...

Answer:

D

Step-by-step explanation:

We have the four lines:

[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]

Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.

So, let’s determine the slope of each line.

For Line 1, we can rewrite our equation as:

[tex]y=-8x-5[/tex]

So, the slope of Line 1 is -8.

We can rewrite Line 2 as:

[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]

So, the slope of Line 2 is -6.

The slope of Line 3 is also -6.

And the slope of Line 4 is 1/8.

So, the slopes of perpendicular lines must be negative reciprocals.

The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.

Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.

For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.

So, they will instead of parallel instead of perpendicular.

And Line 1 is perpendicular only to Line 4, and no other line.

Therefore, our answer is D.

Answer:

3m/12-6/12=2m/12+60/123m-2m/12=60-6/12m/12=54/12m=54/12×12m=54 

is the correct answer is the 54

Answer:

[tex]64\ \text{sq. units}[/tex]

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]

The area of the rhombus is [tex]64\ \text{sq. units}[/tex]

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]

Answer: C. 5(6) + 0.65y

Step-by-step explanation:

Process of elimination.

65% of y = 0.65y

A has 65y, completely incorrect.

B has 6y, also completely incorrect.

C has 0.65y, correct.

D has 1.65y, also completely incorrect.  

Answer:

[tex]\huge\boxed{y=4x-7}[/tex]

Step-by-step explanation:

Linear equations will always be in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x ([tex]\frac{\Delta y}{\Delta x}[/tex]), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a [tex]17-1=16[/tex] change.

The x value goes from 2 to 6, which is a [tex]6-2=4[/tex] change.

Now that we know both changes, we can divide the change in y by the change in x.

[tex]\frac{16}{4}=4[/tex]

Now that we know the slope (4), we can plug it into our equation ([tex]y=mx+b[/tex]).

[tex]y=4x+b[/tex]

Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).

Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.

[tex]y=4x-7[/tex]

Hope this helped!

Answer:

f(5)= 4(5)-1

=20-1

=21

The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.

The linear function is given as follows:

f(x) = 4x - 1

To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.

f(5) = 4(5) - 1

= 20 - 1

= 19

Therefore, f(5) is equal to 19.

The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.

By performing the necessary arithmetic operations, we find that f(5) is 19.

Learn more about the functions here:

brainly.com/question/12431044

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Answer: 3x - y= -11

Step-by-step explanation: just rewrite in youre standard form equation

Answer C

Step-by-step explanation:

Answer:

11

Step-by-step explanation: