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Mariulka [41]
4 years ago
10

A system of equations is given below:

Mathematics
2 answers:
ValentinkaMS [17]4 years ago
7 0
<h2>Answer:</h2>

The steps that could be used to solve by substitution is:

                    6x + 2(−2x + 1) = 22

<h2>Step-by-step explanation:</h2>

Substitution method--

The method of substitution states that from a equation the value of one variable is substituted in form of the other variable into  the other equation.

From the first equation we have the value of y in terms of x as:

               y = -2x + 1

Also, we have equation (2) as:

6x + 2y = 22

Hence, on putting the value of y we have:

                     6x+(-2x+1)=22

kifflom [539]4 years ago
5 0

The answer is A

Because this where you gonna start your substitution

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Cant remember how to do this :( Please help !!​
Juli2301 [7.4K]

Answer:

B

Step-by-step explanation:

1) Look at the y-intercepts.

The y-intercepts on both equations are the same: 5. That means both equations touch the y-axis at (0,5).

That means we can rule out both A & C.

2) Calculate the rate of change (a.k.a. slope) of f(x).

To do this, we must use two points to find the change of y over the change of x. From the graph, we can use the points (1,2) and (2,-1).

Δy / Δx = \frac{-1 - (2)}{2-1} = \frac{-3}{1} = -3

<em>*The little triangles are the Greek symbol delta. They mean change in...*</em>

That means that the slope of f(x) is -3.

3) Figure out the rate of change (a.k.a. slope) of g(x).

To do this, all we have to do is look at the equation. It is written in y = mx + b format where m = slope and b = y-intercept. That means the slope is 5 as in place of "m" there is a 5.

4) The Answer

The answer is B because 5 [the rate of change for g(x)] is greater than -3 [the rate of change for f(x)].

4 0
4 years ago
6. Your savings account has a
nlexa [21]

Answer:

A. 784

Step-by-step explanation:

915 - 75 = 840  840 - 36 = 804   804 - 20 = 784

5 0
3 years ago
The image of a parallelogram is given. Use the translation (x,y) → (x+2, y-1) to find the coordinates of S.
MAVERICK [17]
So to do that, find the point of S then transform

in (x,y) form

we see that the point 'S' is 1 unit to the right and 2 units up therefor
the point is (1,2)
so we jsut apply the thingy translation to is
x=1
y=2
x+2=1+2=3
y-1=2-1=1
the new point is (3,1)
8 0
3 years ago
Given f(×) and g(×) = f(kx), use the graph to determine the value of k
Vitek1552 [10]

The value of k is 3

Solution:

Let us first find the equation of the line f(x).

The points on the line are (-6, -2) and (0, 4).

Here, x_1=-6, y_1=-2, x_2=0, y_2=4

Formula to find equation of a line:

$\frac{y-y_1}{x-x_1} =\frac{y_2-y_1}{x_2-x_1}

$\frac{y-(-2)}{x-(-6)} =\frac{4-(-2)}{0-(-6)}

$\frac{y+2}{x+6} =\frac{4+2}{6}

$\frac{y+2}{x+6} =\frac{1}{1}

Do cross multiplication.

y + 2 = x + 6

y = x + 4

f(x) = x + 4

Given that g(x) = f(kx)

g(x) = kx + 4

The point in the graph of g(x) is ( -2, -2).

g(-2) = k(-2) + 4

we know that g(-2) = -2.

-2 = -2k + 4

Subtract 4 from both sides.

-6 = -2k

Divide by -2 on both sides.

3 = k

k = 3

The value of k is 3.

8 0
4 years ago
In a population of 3 1/4 million people, 2115000 are under the age of 16. Calculate the percentage, to two decimal places, of th
Masteriza [31]
So what we need to do is divide the number of people under 16 by the number of the entire population:

\frac{2115000}{3250000}

first, let's get rid of the 0s:

\frac{2115}{3250}

now, we can divide:
 this is 0.6507....

in order to make this into a percentage, we multiply by 100%:

0.6507*100%=65.07%

the answer is: 65 % (quite a lot!!!)
8 0
3 years ago
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