Answer:
A cubic function
Step-by-step explanation:
When you multiply powers of a same base, the exponents sum. So, if we multiply a function like 
with a function like 
we get
which is a cubic function, because it is written in the form
9514 1404 393
Answer:
k = -2
Step-by-step explanation:
The determinant can be formed by subtracting up-diagonal products from down-diagonal products:
(x)(x+y)(y) +(y)(x)(x+y) +(x+y)(y)(x) -(x+y)^3 -x^3 -y^3
= 3xy(x+y) -(x^3 +3x^2y +3xy^2 +y^3) -x^3 -y^3
= -2(x^3 +y^3)
The value of k is -2.
Answer:
Step-by-step explanation:
<u>The slope is the ratio of difference of y- coordinates by the difference of x- coordinates:</u>
Answer:
x = - 2 or x = 5
Step-by-step explanation:
Given
3x² - 9x - 30 = 0 ← in standard form
Divide all terms by 3
x² - 3x - 10 = 0
To factor the quadratic
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)
The factors are - 5 and + 2, since
- 5 × 2 = - 10 and - 5 + 2 = - 3, thus
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
