Answer:
(C) -11
Step-by-step explanation:
The given functions are;
Plug in x=3.
This implies that;
and
Plug in x=-1
This implies that;
We have the parent function:
y = x³ and we have to choose the correct answer to the question: which equation describes how is this function vertically stretched by a factor of 4.
y = x³ + 4 → The parent function is moved vertically 4 units up.
y = ( x + 4 )³ → The parent function is moved horizontally 4 units left.
y = x^4 → This is a different function.
Answer:
C ) y = 4 x³.
Answer:
y = 1/2x + 3/2
Step-by-step explanation:
Using the equation of the line
y - y_1 = m ( x - x_1)
First find the slope of the line
-2x + 4y = 8
It must be in this form
y = mx + C
4y = 8 + 2x
divide through by 4
4y/4 = 8 + 2x / 4
y = 8 + 2x/4
Let's separate
y = 8/4 + 2x/4
y = 2 + 1/2x
y = 1/2x + 2
Therefore, our slope or m is 1/2
Using the equation of the line
y - y_1 = m ( x - x_1)
With point (-5, -1)
x_1 = -5
y_1 = -1
y - (-1) = 1/2(x - (-5)
y + 1 = 1/2( x + 5)
Opening the brackets
y + 1 = x + 5 / 2
y = x + 5/2 - 1
Lcm is 2
y = x + 5 / 2 - 1/1
y = x + 5 -2/2
y = x +3/2
We can still separate it
y = x /2 + 3/2
y = 1/2x + 3/2
The equation of the line is
y = 1/2x + 3/2
The correct answer is A
Answer:
6,000 dollars
Step-by-step explanation:
We first need to find out how much it would cost Danielle for a month if she chose the second option
200 + 40 = 240
240 x 30 = 7,200
Now that we know how much Danielle would pay if she chose the second option, now we need to find out how much she <em>saved</em>.
7,200 - 1,200 = 6,000
So Danielle saved 6,000 dollars by choosing the first option instead of the second one.