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Katen [24]
2 years ago
6

Suppose g(x)=f(x-3)-4. which statement best compares the graph of g(x) with the graph of f(x)

Mathematics
1 answer:
saw5 [17]2 years ago
8 0

Answer:

D.) The graph of g(x) is shifted 3 units right and 4 units down

Step-by-step explanation:

When a number is added directly to an "x" variable, the graph of the function shifts to the left. When this number is negative, the graph shifts to the right. Therefore, if a -3 is directly modifying the "x" variable, the graph shifts 3 units to the right.

When a number is added to the overall function, the graph of the function shifts up. When this number is negative, the graph shifts down. Therefore, if a -4 is being added to the overall function, the graph shifts down 4 units.

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Line AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to
amid [387]

parallel means "same slope (m)"

m = \frac{y2 - y1}{x2 - x1} = \frac{0 - 5}{-3 - (-6)} = \frac{-5}{-3 + 6} = \frac{-5}{3}

Now, input the point (0, 0) and the slope (\frac{-5}{3}) into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 0 = \frac{-5}{3}(x - 0)

    y = \frac{-5}{3}x

 3y = -5x    <em>multiplied both sides by 3</em>

 0   = -5x - 3y  <em>subtracted 3y from both sides</em>

Answer: C


7 0
3 years ago
Simplify the following expression: 9 – 3x + (-6x) + 4
natima [27]

Answer:

-9x + 13

Step-by-step explanation:

9 -3x +(-6x) +4

you will add -3x+(-6x), then add 9+4

-3x+(-6x) = -9x   (a negative pus and negative = a negative

9 +4 = 13

-9x + 13

8 0
3 years ago
Rayshad has $238.12 deducted from his monthly annual pay for group insurance. His employer pays 85% of the cost. What is the ann
umka21 [38]
202.402
Explanation
282.12 x .85
5 0
3 years ago
Vivian is a salon owner. Yesterday she did 2 haircuts and colored the hair of 4 clients, charging a total of $422. Today, she di
harina [27]

Answer:

Haircuts cost $50.33

Hair Color costs $80.33

Step-by-step explanation:

Let haircut be cost "a"

coloring be cost "b"

2 haircut, 4 coloring equals 422, we can write:

2a + 4b = 422 {Equation 1}

5 haircut, 4 coloring, equals 573, we can write:

5a + 4b = 573 {Equation 2}

We now multiply equation 1 with -1 and add it with Equation 2 to get:

-1(2a + 4b = 422) = -2a - 4b = -422

Now,

-2a - 4b = -422

5a + 4b = 573

----------------------

3a = 151

a = 151/3 = $50.33

Now, to find b, we plug in this value into any equation and solve for b:

2a + 4b = 422

2(50.33) + 4b = 422

4b = 422 - 100.66

b = $80.33

Haircuts cost $50.33

Hair Color costs $80.33

4 0
3 years ago
The graph of the following system of equations is (5 points) −2x + y = 3 4x + 2y = 2
Anestetic [448]

Answer:

i dont see a graph

Step-by-step explanation:

5 0
3 years ago
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