Answer:
1/8
Step-by-step explanation:
You must divide by common multipliers. so you can first divide the numerator and denominator by 10, which would make it 6/48, and then do that again with 6. Which then would give you the answer of 1/8.
Answer:
512ft³
Step-by-step explanation:
If the cube its sides of all 8 feet, then the length, width, and height is 8 feet. Then, multiply 8 by 8 you get 64 and then multiply 64 by 8 to get 512.
2n-9-5-8n+4n
= 2n-14-4n
=2n-14
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
Answer:
3x³ + 23x² + 63x + 55
Step-by-step explanation:
Given
(3x + 5)(x² + 6x + 11)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(x² + 6x + 11) + 5(x² + 6x + 11) ← distribute both parenthesis
= 3x³ + 18x² + 33x + 5x² + 30x + 55 ← collect like terms
= 3x³ + 23x² + 63x + 55