Answer:
Step-by-step explanation:
If we look, "y" can be factored out of the entire expression because it goes into them all. This gives y(2x^3 - 4x^2 + 8x - 16)
Since everything inside the brackets is a multiple of 2 we can factor it out.
2y (x^3 - 2x^2 + 8x - 16)
Here to factor (x^3 - 2x^2 + 8x - 16) we could either use a calculator, or notice that when we subsitute 2 into the equation, it equals 0. Therefore (x - 2) must be a factor. The other factor must be (x^2 + 8) because:
(x - 2) ( )
We need to have 1 x^3 so we know the first part of the factor must be x^2
The also need to have -16 when we multiply this out, -2 * something equals -16. Meaning we must have 8 inside of the brackets.
This gives :
(x - 2) (x^2 + 8).
When we expand this out we get (x^3 - 2x^2 + 8x - 16)
Therefore in total we have
2y (x - 2)(x^2 + 8)
There are other methods of factorising (x^3 - 2x^2 + 8x - 16), so use the method which you have been taught in class or the one I used.
Answer:
y = -14 in simplest form hope this helped
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
∠ AFD = ∠ AFB + ∠ BFC + ∠ CFD
The 3 angles form a straight angle and sum to 180°, that is
4x + 5 + 6x + 3 + 5x + 7 = 180, that is
15x + 15 = 180 ( subtract 15 from both sides )
15x = 165 ( divide both sides by 15 )
x = 11
∠ CFD = 5x + 7 = 5(11) + 7 = 55 + 7 = 62°, thus
∠ AFE = ∠ CFD = 62° ( vertical angles are congruent )
Answer:
Sam ate the most pizza.
Step-by-step explanation:
Mathew: 0.8 is equal to 80%
To get a percentage, you need to move the decimal two places to the right.
Lily: 3/4 = 75%
George: 77%
Sam: 82%
