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2 years ago

13

You buy painting supplies for $12, and you charge $3 per person to paint faces. How many faces will you need to paint earn $15 i

n profit?

2 answers:

Anna007 [38]2 years ago

6 0

Answer:

First you do 12+15 which is 27.

Then you do 27/3 Which is 9

So you will need to paint 9 peoples faces to earn $15 Profit.

Step-by-step explanation:

IgorLugansk [536]2 years ago

5 0

Answer:

9 faces

Step-by-step explanation:

3*4=$12 in supplies

so that is 4 faces just to get your money's worth

then to have profit you would have to do another face otherwise you only broke even.

So then you have to do 5 more to get $15 profit so you would have to do a total of 9 faces

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

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2 years ago

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Valentin [98]

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3 years ago

Expand and simplify 4(2x +7) – 3(x + 5)

Vikentia [17]

Answer:

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Step-by-step explanation:

Given the expression

$4\left(2x+7\right)-3\left(x+5\right)$

<u>Expand and simplify the expression</u>

$4\left(2x+7\right)-3\left(x+5\right)$

Expand 4(2x + 7) = 8x + 28

$4\left(2x+7\right)-3\left(x+5\right)=8x+28-3\left(x+5\right)$

Expand -3(x + 5) = -3x - 15

$=8x+28-3x-15$

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Simplify

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Therefore, we conclude that:

$4\left(2x+7\right)-3\left(x+5\right)=5x+13$

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DanielleElmas [232]

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3 years ago

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2 years ago