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2 years ago

This equation shows how the revenue at Jill's Auto Wash depends on the number of

Mathematics

1 answer:

Romashka [77]2 years ago

6 0

Answer:y = 9x

Step-by-step explanation:

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The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the

frez [133]

Length of rectangle is 1 unit

<u>Solution: </u>

Given that

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,

Length of the rectangle = x – 8

$\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }$

$\text{ Area of rectangle }= x\times (x-8)$

$\text { Area of rectangle }=\left(x^{2}-8 x\right)$

As given that area of rectangle = 9 square units

$\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}$

On solving above quadratic equation for x, we get

$\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}$

When $x-9 =9, x = 9$

When $x + 1 = 0, x = -1$

As width cannot be negative, so considering x = 9

$\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }$

Hence, Length of rectangle is 1 unit.

5 0

3 years ago

This is a tricky one

IgorLugansk [536]

X = 12 , just solved it right now :)

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3 years ago

What is the vertex and intercepts for y=(5x-2)(2x+3)

Sophie [7]

Answer:

vertex = $(-\frac{11}{20} ,-\frac{361}{40} )$

Intercepts for x = $(\frac{2}{5} ,0), (-\frac{2}{5} ,0)$

intercepts for y = (0,-6)

4 0

3 years ago

The graph of F(x) can be flipped over a certain line to produce the graph of its inverse. What is the equation of that line?

OLEGan [10]

$y=x$
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3 0

3 years ago

Read 2 more answers

You want to make a necklace with 5 beads on it; you have a bag that contains 5 differently colored beads. You draw a bead from t

Vladimir [108]

There are 120 different combinations.

There are 5 to use for the first bead; then after it is used, 4 for the second; 3 for the third; 2 for the fourth; and 1 for the fifth and last bead:

5*4*3*2*1 = 120.

8 0

3 years ago