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:
so 14 can go into 28, 2 times and 19 can go into 38 2 times so the techaer can make 2 group with 14 girls and 19 boys in each group.
Step-by-step explanation:
Answer:
Answer:
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
x + y = 4.25
16.90x + 4y = 36.35
1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.
2.
x + y = 4.25 (1)
16.90x + 4y = 36.35 (2)
Multiply (1) by 4
4x + 4y = 17 (3)
16.90x + 4y = 36.35 (2)
Subtract (3) from (2)
16.90x - 4x = 36.35 - 17
12.90x = 19.35
Divide both sides by 12.90
x = 19.35 / 12.90
= 1.5
x = 1.5 yards
Substitute x = 1.5 yards into (1)
x + y = 4.25
1.5 + y = 4.25
y = 4.25 - 1.5
= 2.75
y = 2.75 yards
Silk = x = 1.5 yards
Cotton = y = 2.75 yards
Step-by-step explanation:
Answer:
length=8+w........1
area=84square feet........2
area of rectangle =length x width
area=(8+w)x W
area=8w+w^2
84=8w+w^2
w^2+8w+(4^2)=84+(4^2)
(w+4)^2=84+16
(w+4)^2=100
√(w+4)^2=√100
w+4=±100
w+4=100 or w+4=-100
w=96 or w=-104
the answer is <u>9</u><u>6</u>
