Answer:
A
Step-by-step explanation:
cuz if you pay attention to the y coordinate on f(x) it's 4 instead of 1 as in g(x). this means that y-coordinate is multiplied to 4 therefore 4g(x) and it is vertically shifted up 1 unit and therefore the equation would be
f(x) = 4g(x) + 1
as g(x) = x²
.:
f(x) = 4x² + 1
Answer:
Before going to the first store he had $ 112.
Step-by-step explanation:
Before going to the first store Mr. Chin had all his money, which we will call by "x". After the first store he had:
y = x/2 - 14
He then went to a second store and he spent all his money in a way that:
y/3 - 14 = 0
Because after that store he had no money left. So we can use the second equation to solve for y and then use that value to solve for x, that is the amount of money he had before going to the first store. We have:
y/3 = 14
y = 14*3 = 42
From the first equation:
42 = x/2 - 14
x/2 - 14 = 42
x/2 = 42 + 14
x/2 = 56
x = 112
Before going to the first store he had $ 112.
Answer:
a1 = 8
a2 =10
a3 = 13
a4 = 17
Step-by-step explanation:
The first term is a1 = 8
The second term is a2 = a1 + n
= 8+2
= 10
The third term is a3 = a2 + n
= 10+3
= 13
The fourth term is a4 = a3 + n
= 13+4
= 17
Answer:
(x - 3) and (x - 2)
Step-by-step explanation:
Using the method of long division to divide the polynomial by x + 4
x² - 5x + 6
-------------------------------
x + 4 | x³ - x² - 14x + 24
x³ + 4x²
---------------------------
- 5x² - 14x + 24
- 5x² - 20x
-------------------------------
6x + 24
6x + 24
--------------------------------
0 0
The quotient is x² - 5x + 6 = (x - 2)(x - 3)
x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form
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