Answer:
+ 8x³ + 12x² - 16x + 4
Step-by-step explanation:
Given
[(x² + 4x) - 2 ]² ← simplify contents of bracket
= (x² + 4x - 2)² = (x² + 4x - 2)(x² + 4x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
x²(x² + 4x - 2) + 4x(x² + 4x - 2) - 2(x² + 4x - 2) ← distribute parenthesis
= + 4x³ - 2x² + 4x³ + 16x² - 8x - 2x² - 8x + 4 ← collect like terms
= + 8x³ + 12x² - 16x + 4
Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,
15% x 50 = 7.5
You can search these up in a calculator or in google if you want. The answers should be online.
Uhhhhh the picture is all white
Answer:
I will answer in a general way because the options are not given.
We know that the area of model A is smaller than the area of model B.
For model A, we have 72 shaded sections, out of 100.
Then the quotient of model A is:
72/100 = 0.72
For model B we have 10 sections, and x shaded ones.
Because model B is greater than model A, we know that:
x/10 should be larger than 72/100
then we have the inequality:
x/10 > 0.72
x > 0.72*10
x > 7.2
And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:
10 ≥ x > 7.2
Then x can be any whole number in that interval.
the possible values of x are:
x = 8
x = 9
x = 10