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madam [21]
3 years ago
6

The function f(x) = |x| is shifted to the left 3 units and down 2 units to make the function g(x) . Write the equation g(x) that

illustrates this change.
Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

g(x) = |x+3|-2

Step-by-step explanation:

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the left, we replace the x with x+3

g(x) = |x+3|-2

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Question 24 Multiple Choice Worth 1 points)
hammer [34]

Given:

The system of equations is:

Line A: y=x-4

Line B: y=3x+4

To find:

The solution of given system of equations.

Solution:

We have,

y=x-4              ...(i)

y=3x+4           ...(ii)

Equating (i) and (ii), we get

x-4=3x+4

-4-4=3x-x

-8=2x

Divide both sides by 2.

-4=x

Substituting x=-4 in (i), we get

y=-4-4

y=-8

The solution of system of equations is (-4,-8).

Now verify the solution by substituting x=-4, y=-8 in the given equations.

-8=-4-4

-8=-8

This statement is true.

Similarly,

-8=3(-4)+4

-8=-12+4

-8=-8

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0
2 years ago
HELP ME PLEASE
Arada [10]

Answer:

if you toss a dice 30 times, you will roll a two 5 times.

Step-by-step explanation:

If you toss a dice once, the probability of rolling a 2 is 1/6, like you said.

So if you multiply your chances of rolling a 2 by 30, you get;

30.1/6 = 30/6 = 5

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2 years ago
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