Answer:
g(x) = 2|x|
h(x) = 
|x|
Step-by-step explanation:
If you have g(x)=2f(x) and h(x)=f(x), you can rewrite the expressions in terms of |x| as the following:
- For g(x)=2f(x) you have:
g(x) = 2|x|
-For h(x)=f(x), you have:
h(x) = |x|
Answer:
5x + 2
Step-by-step explanation:
Given
10x² - 11x - 6
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 10 × - 6 = - 60 and sum = - 11
The factors are - 15 and + 4
Use these factors to split the x- term
10x² - 15x + 4x - 6 ( factor the first/second and third/fourth terms )
= 5x(2x - 3) + 2(2x - 3) ← factor out (2x - 3) from each term
= (x - 3)(5x + 2) ← in factored form
Thus 5x + 2 is a factor of 10x² - 11x - 6
y - 4 = 3(x + 2)
This equation is in point-slope form, which is y - b = m(x - a), where m is the slope and (a, b) is a point on the line.
An equation in point-slope form contains the negated forms of the coordinates on its graph. Here we have negative 4 and positive 2. This means the original coordinate contains positive 4 and negative 2. Remember, b is -4 and a is 2, so the point on the line is (-2, 4).
Let's check this by plugging in the coordinate.
y - b = m(x - a)
y - (4) = m(x - (-2))
y - 4 = m(x + 2) -- These are the same signs as the point-slope equation
Answer:
C) (-2, 4)
Answer:
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Step-by-step explanation:
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