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3 years ago

Which graph best represents the solution to the system of equations shown below?

Mathematics

2 answers:

siniylev [52]3 years ago

7 0

1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4

Alinara [238K]3 years ago

3 0

Answer:

Option 2

Step-by-step explanation:

The system of equations consists of equations

y = -4x + 19 --------(1)

y = 2x + 1 ---------(2)

Now equating both the equations for the values of y

-4x + 19 = 2x + 1

-2x - 4x + 19 = 1

-6x = 1 - 19

-6x = -18

x = $\frac{18}{6}$

x = 3

from equation (1) y = -4(3) + 19

= -12 + 19

= 7

Therefore, solution of the system of the equations is (3, 7)

This solution of the system of equation has been given in graph (2)

Therefore, Option (2) is the answer.

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Keith_Richards [23]

Answer:

C. They have the same chance of winning.

Step-by-step explanation:

Probability (2 tails) = 1/2 * 1/2 = 1/4

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3 years ago

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Elden [556K]

Answer:

Step-by-step explanation:

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3 years ago

You guys are Smart, Answer me this. But I need It fast-

miss Akunina [59]

Answer:

E = 58

F = 32

G = 90

Step-by-step explanation:

3x + 31 + 5x -13 + 90 = 180

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8 0

3 years ago

A rectangle swimming pool is 8 feet deep. One side of the pool is 4.5 times longer than the other. The amount of water needed fo

wel

The side lengths of the pool 10 ft and 45 ft.

<u>SOLUTION: </u>

Given, a rectangle swimming pool is 8 feet deep.

One side of the pool is 4.5 times longer than the other.

Let the length of pool be n feet, the width will be 4.5n feet

The amount of water needed for the swimming pool is 3600 cubic ft

We have to find the dimensions of the pool. Now, we know that,

$\begin{array}{l}{\text {volume of pool}=\text {depth} \times \text {length } \times \text {width}} \\\\ {\rightarrow 3600 \text { cubic } f t=8 \text { feet } \times \text { n feet } \times(4.5 n) \text { feet }} \\\\ {\rightarrow 8 n \times 4.5 n=3600} \\\\ {\rightarrow 36 n^{2}=3600} \\\\ {\rightarrow n^{2}=100}\end{array}$

On taking square root on both sides we get,

$\begin{array}{l}{\rightarrow\sqrt{n^{2}}=\sqrt{100}} \\\\ {\rightarrow n=10 \mathrm{ft}}\end{array}$

So, the width will be $4.5 n=4.5 \times 10=45 \mathrm{ft}$

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3 years ago

find the nonpermissible replacement for the variable x in this expression (x^2)/(2x-4) ? find the nonpermissible replacement for

Tcecarenko [31]

<span>The nonpermissible replacement for the variable x in this expression is x = 2

Substituting x = 2 yields:

(2)^2/(2(2)-4)

4/0, which is undefined.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>

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3 years ago