Answer:
A. x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
Let's move all the terms to one side:


Now, we want to use the quadratic formula, which states that for a quadratic equation of the form
, the roots can be found with the equation:
or
.
Here, a = 1, b = -5, and c = -2, so plug these in:
OR

Thus, the answer is A.
Hope this helps!
Answer:
42p + 21r
Step-by-step explanation:
First look at the parentheses. Since 4p and 2p are the same variables, you can add them.
7(6p + 3r)
now you use the distributive property.
7 x 6p + 7 x 3r
42p + 21r
and then you get you’re answer.
Answer:
There was a Horizontal translation left b units and then Vertical stretch or compression
Step-by-step explanation:
Given : 
We are supposed to show the transformation
Rule : f(x)→f(x+c)
Horizontal translation left c units
So, f(x+b) is the Horizontal translation left b units
Rule : f(x)→cf(x)
Vertical stretch or compression
So,
So, Initially there was a Horizontal translation left b units and then Vertical stretch or compression
C. 0.04 would be the correct answer.
Answer:
k = 4
Step-by-step explanation:
if f(x) is divided by (x - h) then f(h) is the remainder
f(x) = 2x³ - 3x² + kx - 1
divided by (x - 1) , so h = 1 , then
2(1)³ - 3(1)² + k(1) - 1 = 2
2 - 3 + k - 1 = 2
- 2 + k = 2 ( add 2 to both sides )
k = 4