Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
Answer:
<h2>h(x) = 14</h2>
Step-by-step explanation:
f(x) + n - translation n units up
f(x) - n - translation n units down
f(x + n) - translation n units to the left
f(x - n) - translation n units to the right
===========================================
g(x) = 21
translation 7 units down: g(x) - 7 = 21 - 7 = 14
Answer:
option D
because every length is one fifth of the corresponding length of the bigger triangle
Answer:
13 1/2
Step-by-step explanation:
Just multiply 3.5 and 4.75
AKA
3 1/2 and 4 3/4
Change 1/2 into 2/4 so the denominators are the same
Multiply the numerators 2 and 3, you now have 6/4
3 × 4 = 12
6/4 is improper so, you need to simplify
now you have 1 1/2
Now 12 + 1 1/2 = 13 1/12
Answer:
Height : 3 cm
Step-by-step explanation:
The formula for a trapezoid is
<u> a+b</u> ×height
2
Rearrange for formula :

