Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
The correct product should have been:
<span>(–4x + 9)2 = </span>(-4x)2 + 2(-4x)(9) + 9^2 = 16x6 - 72x +81
The result is a trinomial and not a binomial nor a difference of two squares.
So, the answer is:
C = Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Answer:
y = -3(x+2)^2 - 6
Step-by-step explanation:
y = a(x+2)^2 -6
-18 = a(-2)^2 - 6
-12 = 4a
a = -3
y = -3(x+2)^2 - 6
1.5 is lesser than 0.5. Oh, wait nevermind I meant to say -1.5 is lesser than 0.5
Answer:
a. 72 inches
b. 21.3 inches
Step-by-step explanation:
12:27
a. 32 inches in height
32/x = 12/27
Set these fractions equal to each other
32= 12
12 times 2.6(repeating decimal) equals 32
So to find the width do 2.666... time 27 and you get 72 inches.
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b. 48 inches in width
Again set the fractions equal to each other.
x/48 = 12/27
48 divided by 27 equals 1.77777....
To get height, do 1.77777.... times 12 and you get 21.3333333
But since it is to the nearest tenth, you get 21.3 inches
Hope that helps!
