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3 years ago

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Solve the system of equations. −9y+4x−20=0−7y+16x−80=0\begin{aligned} &-9y+4x - 20=0 \\\\ &-7y+16x-80=0 \end{aligned}

−9y+4x−20=0 −7y+16x−80=0 what is the value of x and y

1 answer:

gulaghasi [49]3 years ago

7 0

Answer:

(x, y) = (5, 0)

Step-by-step explanation:

$\begin{aligned} &-9y+4x - 20=0 \\ &-7y+16x-80=0 \end{aligned}$

Subtract 4 times the first equation from the second:

(-7y +16x -80) -4(-9y +4x -20) = (0) -4(0)

29y = 0 . . . . . simplify

y = 0 . . . . . . . .divide by 29

4x -20 = 0 . . . . substitute 0 for y in the first equation

x -5 = 0 . . . . . .divide by 4

x = 5 . . . . . . . . add 5

The solution to this system is (x, y) = (5, 0).

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BARSIC [14]

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3 years ago

Solve the system by graphing. Write the solution as an ordered pair. y = 1/3x + 2 y = –x – 2

Dima020 [189]

ANSWER

The solution is where the two graphs intersect, which is
$(-3,1).$

EXPLANATION

The given system of equations are
$y = \frac{1}{3} x + 2$
and

$y = - x - 2$

We need to graph the two equations.

Let us graph

$y = \frac{1}{3} x + 2$
first.

We need at least two points.

You can choose any appropriate value for x and solve for y. Choosing zero makes our working easier. So let us plot the intercepts.

When
$x = 0$

$\Rightarrow \: y = \frac{1}{3} (0) + 2$

$\Rightarrow y = 0 + 2$

$\Rightarrow y = 2$

So this gives us the ordered pair,

$(0,2)$

When
$y = 0$
we get,

$0= \frac{1}{3} x + 2$

$\Rightarrow \: - 2 = \frac{1}{3} x$

$\Rightarrow \: - 2 \times 3= x$

$\Rightarrow \: -6= x$
This also gives the ordered pair

$(-6,0).$

We plot these two points and draw a straight line through them to obtain the blue graph in the attachment.

For the second line

$y = - x - 2$

We again find the intercepts and plot them.

When
$x = 0$

$y = - 0 - 2$

$\Rightarrow \: y = - 2$

This gives the ordered pair

$(0,-2)$

Also, when
$y = 0$

then we have,

$0 = - x - 2$

$2 = - x$

$x = - 2$

Then we again have the ordered pair,

$(-2,0)$

We plot these two points on the same graph sheet to obtain the red graph above.

The intersection of the two lines is
$(-3,1)$

You will get good grades so don't worry much.

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3 years ago

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Assoli18 [71]

The mean of the data set is 6.8.

<h3>What is the mean?</h3>

Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.

Given

The data set is 14, 7, 2, 8, 3.

The mean of the data set is given by;

$\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8$

Hence, the mean of the data set is 6.8.

To know more about mean value click the link given below.

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2 years ago

Last year your school had 1200 students enrolled, this year your school has135% of that amount enrolled. how many students are e

iren2701 [21]

1200 = 100%
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3 years ago

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Yanka [14]

Answer:

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Step-by-step explanation:

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this means the two bottom angles are the same so the other would also be 50°

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