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harkovskaia [24]

3 years ago

11

John needs to wrap the edge of his rectangular desk with duct tape. He knows the width is 10/8 of a meter and the length is 3/8

of a meter. How much duct tape does he need to wrap the desk’s perimeter?

1 answer:

Zielflug [23.3K]3 years ago

7 0

Answer: 1 and 5/8

Step-by-step explanation:

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PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

3 years ago

A graph is drawn to represent a relationship between distance, d, and time, t. Which situation could be represented on the graph

Deffense [45]

The graph forms a straight line going downwards. The straight line means that the speed is constant. It is going downwards meaning it is stopping.

The best statement that represents the graph is:

<span>Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.</span>

4 0

3 years ago

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Detective pi has 5 1/5 quarts of orange juice.She likes to have 2/5 of a quart every morning for breakfast.How many mornings can

vivado [14]

Detective PI can have 13 days of Orange juice before she runs out

7 0

3 years ago

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I need help like fast i am on 3 and i do not know what to do

Elis [28]

Answer:

Number 3 has no solution

Step-by-step explanation:

First you need to divide both sides of the equation 12x - 12y = -12 by 4

-3x + 3y = -3

12x - 12y = -12

-3x + 3y = -3

3x - 3y = -3

Then you need to eliminate one variable by adding the equations.

0 = -6

this statement is false, and therefore has no solution.

7 0

3 years ago

on the first play the football team loss 6 yards. on the second play the team lost 5 yards. what was their total?

Neporo4naja [7]

-11 or the Team lost 11 yards

8 0

3 years ago

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