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2 years ago

Which statement about the quadratic equation below is true?

Mathematics

1 answer:

Vladimir79 [104]2 years ago

3 0

Hmm, I'd say the answer is,

A) The equation has x = 4 as its only solution

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The table list the frozen treats sold at the high school football concession stand by the booster club. The items along with the

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2 years ago

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What is the Slope of the line ?

prohojiy [21]

Answer:

Step-by-step explanation:

5 0

2 years ago

How do i solve this.

nignag [31]

Let us set up some variables:

L: Length
W: Width

Now let us set up some equations based on the facts:

length of rectangle is 4 times its width --> L = 4W
perimeter of rectangle is 80 --> 2L + 2W = 80

Equations:

L = 4W -- equation 1

2L + 2W = 80 -- equation 2

Plug the value of L from equation 1 into equation 2

2(4W) + 2W = 80

8W + 2W = 80

10W = 80

W = 8 -- equation 3

Plug the value of W from equation 3 into equation 1:

L = 4W = 4 * 8 = 32

Therefore the length is 32 and the width is 8.

Hope that helps!

4 0

2 years ago

-x=-y+2 and 3y+4=2x solve using matrices

MissTica

$\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}$

In matrix form, this is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}$

The coefficient matrix has determinant

$\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0$

so it has an inverse, which is

$\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}$

Multiply both sides by the inverse matrix:

$\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}$

$\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}$

so that $x=-10$ and $y=-8$ .

8 0

3 years ago

6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some

Gnesinka [82]

Answer:

140

Step-by-step explanation:

first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140

4 0

2 years ago