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nekit [7.7K]
3 years ago
9

if you apply the changes below to the absolute value parent function, f(x)=|x|, what is the equation of the new function. shift

5 united right. shift 7 units down
Mathematics
2 answers:
grigory [225]3 years ago
7 0
X is x+5 with a shift to the right
Y= f(x)= y-7 with a shift down

So f(x)= |x-5|-7

Oliga [24]3 years ago
5 0

Answer:  The required equation of the new function is  f(x) = |x - 5 | - 7.

Step-by-step explanation:  We are given to find the equation of the new function if the following absolute value parent function is shifted 5 units right and 7 units down :

f(x) = |x|.

We know that

if the absolute value parent function is shifted a units right and b units down, then the new function is given by

f(x) = |x - a| - b.

So, if the function f(x) is shifted 5 units right and 7 units down, then the equation of the new function will be

f(x) = |x - 5 | - 7.

Thus, the required equation of the new function is  f(x) = |x - 5 | - 7.

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Write an equation for a line perpendicular to y = -5x – 4 and passing through the point (15,5)
stiv31 [10]

Answer:

y=1/5x+2

Step-by-step explanation:

In perpendicular lines the slopes are negative reciprocals so the slope of other line is 1/5x

And they intersect at (15,5) to find the y intercept(b)

y=1/5x+b

5=(1/5)(15)+b

5=3+b

b=2

4 0
3 years ago
9. ax + by = (a - b), bx - ay = (a + b)​
mart [117]

Answer: give me brainliest

Step-by-step explanation:

ax+by=a-b

ax=a-b-by

x=a-b-by/a←

bx-ay=a+b

substituting

b(a-b-by/a)-ay=a+b

ab-b²-b²y/a-ay=a+b

ab-b²-b²y-a²y/a=a+b

ab-b²-(b²+a²)y=a²+ab

-(b²+a²)y=a²+ab-ab+b²

(b²+a²)y=-(a²+b²)

y=-(a²+b²)/a²+b²

y=-1←

substituting value of y

x=a-b-b(-1)/a

x=a-b+b/a

x=a/a

x=1

8 0
3 years ago
If a woman making $45 an hour gets a 10% eaise how much additional money is she making.
zysi [14]
If a woman making $45 an hour gets a 10% eaise how much additional money is she making.


$4.5

45 x .1 = 4.5









4 0
3 years ago
10. 2x + 7y = 1<br> 2x - 4y = 12<br> Solve for y
adoni [48]

Answer:

The solution for y = -1.

Step-by-step explanation:

Given:

2x\ +\ 7y\ =\ 1    ....(1)

2x\ -\ 4y\ =\ 12  ....(2)

So, to solve for y, first we solve for x in equation (2):

2x-4y=12

⇒2x=12+4y

Dividing both sides by 2,

⇒x=6+2y            

Now, substituting the value of x  in equation (1):

2x+7y=1

⇒2(6+2y)+7y=1

⇒12+4y+7y=1

⇒12+11y=1

⇒11y=1-12

⇒11y=-11

Dividing both sides by 11,

⇒y=-1

Therefore, the solution for y = -1.

7 0
3 years ago
Graph the line with the equation
pochemuha

The graph of the linear equation can be seen in the image below.

<h3 /><h3>How to graph the linear equation?</h3>

Here we have the linear equation:

y = (2/5)*x - 6

To graph it, we just need to find two points on the line, and then connect them with a line.

To find the points we just evaluate in two values of x.

if x = 0.

y = (2/5)*0 - 6 = -6

Then we have the point (0, -6)

If x = 5.

y = (2/5)*5 - 6 = 2 - 6 = -4

Then we have the point (5, - 4)

Now we can graph these two points and connect them with a line. The graph of the line can be seen below.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

4 0
2 years ago
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