Answer:
44
Step-by-step explanation:
Given a polynomial f(x) divided by (x + h) then the remainder is f(- h)
Here f(x) is divided by (x + 4), thus remainder is calculated as
f(- 4) = (- 4)³ + 5(- 4)² - 7(- 4)
= - 64 + 5(16) + 28
= - 64 + 80 + 28 = 44 ← Remainder
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
10)
No. Since the garage is a square, the length and width are the same. And since the formula to find the area of a square is (length times width) l x w , that means that the square root of 121 would be the length and width of the garage. The square root of 121 is 11, concluding that the car that measures 13 feet long is too large.
11)
7. its the square root of 49, which is the closest to 55.
hope this helps!
Answer:
6(6x^2-4x-3)
Step-by-step explanation:
pull out the gcf which is 6 and it is complete because it is impossible to factor 6x^2-4x-3
Multiply .30 and 50 ... which is 15
