Which graph represents a proportional relationship?

Step-by-step explanation:

-px + r = 8x -2

Step 1: Add -8x to both sides.

-px + r + -8x = 8x - 2 + -8x

-px + r - 8x = 2

Step 2: Add -r to both sides.

-px + r - 8x + -r = -2 + -r

-px - 8x = -r - 2

Step 3: Factor out variable x.

x(-p - 8) = -r - 2

Step 4: Divide both sides by -p - 8.

x(-p - 8) = -r - 2

-p - 8 -p - 8

Answer

x = r + 2

p + 8

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

➷ [tex](4.3\cdot10-3)(2\cdot 10-2)[/tex]

➷ [tex]= (43 - 3)((2) (10) -2)[/tex]

➷ [tex]= 40 ((2) (10)-2)[/tex]

➷ [tex]= 40(20 - 2)[/tex]

➷ [tex]= (40)(18)[/tex]

➷ [tex]= 720[/tex]

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

Given expression:

    (4.3 x [tex]10^{-3}[/tex]) (2 x [tex]10^{-2}[/tex])

Solving this equation,

   (4.3 x [tex]10^{-3}[/tex]) (2 x [tex]10^{-2}[/tex])  = 4.3 x [tex]10^{-3}[/tex] x 2 x [tex]10^{-2}[/tex]

                                      =  (4.3 x 2)  x 10⁻³ x 10⁻²

                                       = 8.6 x 10⁻³ ⁺⁽⁻²⁾

                                       = 8.6 x 10⁻⁵

The solution of this problem is 8.6 x 10⁻⁵

Answer:

A) y = x^2 -1

B) -y = 2x^2 +1  We multiply B) by -1

B) y = -2x^2 -1

We can then say x^2 -1 = -2x^2 -1

3 x^2 = 0

x = 0

************* Double-Check: ******************

Equation A) y = -1 and

Equation B) y = -1

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

The car has travelled for 30 miles.

Amount of gallons in fuel tank = 16 gallons

Gas mileage = 30 miles per gallon.

Since the driver has 15 gallons left, the number of miles that the car traveled will be:

= (16miles - 15 miles) × 30

= 1 mile × 30

= 30 miles

The car travelled for 30 miles.

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Answer:

c = 25x

Step-by-step explanation:

c = total cost

x = games played

if you play 4 games, then change "x" into 4 and do 25 times 4

Answer:

I got 8 but check

Step-by-step explanation:

i rounded the off and then added them that's what I learned to do

Answer:

8 km

Step-by-step explanation:

It is given that, the scale of a map says that 8 cm represents 5 km. We need  to find the  actual number of kilometers that is represented by 5 centimeters on the map.

8 cm = 5 km

1 cm = (8/5) km

For 5 cm, multiply (8/5) km by 5.

So,

x = 8 km

So, 8 km is represented by 5 centimeters on the map.

Answer:

80%

Step-by-step explanation:

I hope this helps!

The percentage of the month of June that experiences rain is 80%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of days in June = 30.

Number of days in June that rains = 24

Now,

The percentage of days that rain in June.

= 24/30 x 100

= 80%.

Thus,

80% of the days in June rain.

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Answer: -5/6

Step-by-step explanation:

slope formula m=(y2-y1)/(x2-x1)

m=(-2-8)/(20-8)

m=-10/12

(simplify) m=-5/6

The slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is:  [tex]\mathbf{-\frac{5}{6}}[/tex]

Recall:

Slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Thus:

Given two points that a line passes through as: (8, 8) and (20, -2),

(8, 8) = [tex](x_1, y_1)\\\\[/tex]

(20, -2) = [tex](x_2, y_2)[/tex]

Slope (m) = [tex]\frac{-2 - 8}{20 - 8}[/tex]

Slope (m) = [tex]\frac{-10}{12}[/tex]

Slope (m) = [tex]\mathbf{-\frac{5}{6}}[/tex]

Therefore, the slope value in the simplest form of a line that passes through (8, 8) and (20, -2) is:  [tex]\mathbf{-\frac{5}{6}}[/tex]

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Answer:

i believe the operation emma should use is addition subtraction and mixed numbers

Step-by-step explanation:

hope this helps!!!

Answer

x= -3  -> y= -2

x= -1 -> y= -4

x= 3 -> y= -2

Step-by-step explanation:

The lines around the x in the equation is the absolute value symbol.

If you put a positive in, it stays positive.

If you put a negative in, it becomes positive.

Then solve normally.

Good luck!

Answer:

39

Step-by-step explanation:

Step 1: Define

x(5x - 2)

x = 3

Step 2: Distribute

5x² - 2x

Step 3: Substitute and Evaluate

5(3)² - 2(3)

5(9) - 6

45 - 6

39

Answer:

39

Step-by-step explanation:

x(5x - 2)

Substitute x for 3

3(5 x 3 - 2)

Multiply inside Parenthesis

3(15 - 2)

Subtract 2

3(13)

Multiply to get

39

Answer:

B

Step-by-step explanation:

I took the k12 test

Answer:

Explanation:

Let Vc be the velocity of the car and I'm the velocity of the motorcycle. If we convert their given values, we get:

Vc = 87 km/h * 1000m / 1km * 1h / 3600s = 24.17m/s

Vm = 95 km/h * 1000m / 1km * 1h / 3600s = 26.38m/s

Since their positions are equal after 17s we can stablish that:

Where d is the initial separation distance of 54m. Solving for a, we get:

  Repacing the values:

Answer:

12 pages per minute

Step-by-step explanation:

60 pages are being printed in 5 minutes.

60 pages/5 minutes = 12 pages/minute

Answer:

12 pages per minute

Step-by-step explanation:

60 = 5 minutes

1 minute = 60/5 = 12

Given:

Initial height of tree = [tex]7\dfrac{11}{12}[/tex] foot

He cut [tex]1\dfrac{2}{3}[/tex] off of tree.

To find:

The remaining height of tree after cut.

Solution:

Initial height of tree is

[tex]7\dfrac{11}{12}=\dfrac{7\times 12+11}{12}[/tex]

[tex]7\dfrac{11}{12}=\dfrac{84+11}{12}[/tex]

[tex]7\dfrac{11}{12}=\dfrac{95}{12}[/tex]

He cut [tex]1\dfrac{2}{3}[/tex] off of tree.

[tex]1\dfrac{2}{3}=\dfrac{1\times 3+2}{3}[/tex]

[tex]1\dfrac{2}{3}=\dfrac{3+2}{3}[/tex]

[tex]1\dfrac{2}{3}=\dfrac{5}{3}[/tex]

Now,

Remaining height = Initial height - cut

[tex]=\dfrac{95}{12}-\dfrac{5}{3}[/tex]

[tex]=\dfrac{95-20}{12}[/tex]

[tex]=\dfrac{75}{12}[/tex]

[tex]=\dfrac{25}{4}[/tex]

[tex]=\dfrac{6\times 4+1}{4}[/tex]

[tex]=6\dfrac{1}{4}[/tex]

Therefore, the remaining height of the tree is [tex]6\dfrac{1}{4}[/tex] foot.

Answer:

Step-by-step explanation:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

Answer:

M = Y + 5.

Also thats my mom's birthday :D

The value of  g(x) = 2x² - 4, when g(-2) = 4

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

g(x) = 2x² - 4

The above function is a quadratic function.

The solution of when g(-2):

Substituting the value of x = -2

 g(x) = 2x² - 4

g(x) = 2(-2)² - 4

g(x) = 8 - 4

g(x) = 4

Therefore, the value of g(-2) = 4.

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Answer:

its 6

Step-by-step explanation:

i now i am in the 12th grade

Answer:

19,855

Step-by-step explanation:

(-19)5*(-19)11

-95*-209= 19,855

can i get brainliest please?

Answer:

2 2/5 + 2 (-1/5)=2

Step-by-step explanation:

2 2/5+ -2/5

2x5+2/5+ -2/5

12/5 + -2/5

12/5 - 2/5

12-2/5

10/5

2

Answer:

1160 feet

Step-by-step explanation:

Answer:

d/7 = c

Step-by-step explanation:

-5c+d=2c

Add 5c to each side

-5c+5c+d=2c+5c

d = 7c

Divide each side by 7

d/7 = 7c/7

d/7 = c

Answer:

d/7 = c

Step-by-step explanation:

STEP

1

:

           d

Simplify   —

           c

Equation at the end of step

1

:

    c          d

 (((—•c)-d)-(2•—))+d

    2          c

STEP

2

:

           c

Simplify   —

           2

Equation at the end of step

2

:

    c               2d      

 (((— • c) -  d) -  ——) +  d

    2               c.

Answer: 2x^2 -5x -12

This is answer D.

Answer:

2 cows

Step-by-step explanation:

Answer:

[tex] \sqrt[3]{g } = \sqrt[3]{729} [/tex]

[tex]g = 9[/tex]

Answer:

The answer is D. A clockwise rotation of 144 degrees about the origin.

Step-by-step explanation:

In most cases; when an object is transformed, the position of the object changes. A clockwise rotation of 144 degrees about the origin will map the pentagon onto itself.

Given:

The attached pentagon

The number of sides (n) in a pentagon is:

[tex]n = 5[/tex]

The pentagon will not be mapped onto itself when reflected across line m because m is not at the center of the polygon

The pentagon will not be mapped onto itself when reflected across the x-axis because the pentagon has 5 sides (odd number of sides)

To map the pentagon onto itself, the pentagon has to be rotated.

The angle of rotation is:

[tex]\theta = \frac{360}n[/tex]

[tex]\theta = \frac{360}5[/tex]

[tex]\theta = 72[/tex]

Other possible angles of rotation must be a multiple of 72. i.e.

[tex]\theta = 72, 144, 216, 288....[/tex]

This means that: option (d) is correct because 144 is a multiple of 72

Hence, a clockwise rotation of 144 degrees about the origin will map the pentagon onto itself.

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Answer:

area

Step-by-step explanation:

because when you are ordering sod the person that is laying it down needs measurements like 12x13 not 67 yards, that way they can get the most accurate amount

Esma will need to know area if she  needs to know the size of her yard.

Perimeter is a major property of a 2D shape , It is defined as the distance covered around the shape.It is also called the length of a triangle , rectangle and square.

It has major usage in calculation of the fencing that needs to be done , revolution that is being done etc.

It is given in the question that

Esme wants to put new sod on her front lawn.

she needs to know the size of her yard.

As by the meaning of sod , sod is grass that rolls out on the ground, almost like carpet

It will cover the complete area of the lawn and hence to buy it she will be needing to know the area rather than the perimeter.

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