Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Answer:
An equation is
Step-by-step explanation:
Let be the measure of the unknown acute angle.
According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.
One of the acute angles of a right triangle is equal to 52°.
Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.
So, an equation is
Question 7: Choose the correct simplification of the expression (3x − 6)(2x2 − 4x − 5)
Answer:
7. 6x³ - 12x² + 12x + 15
Step-by-step explanation:
(3x-6)(2x² - 4x - 5)
3x • 2x² = 6x³
3x • -4x = -12x²
3x • -5 = -15
-6 • 2x² = -12x²
-6 • -4x = 24x
-6 • -5 = 30
combine terms
6x³ - 12x² - 15 - 12x² + 24x + 30
combine like terms
6x³ - 24x² + 24x + 15
hope this helps :)
in the future, only ask one question per brainly submission. thanks!
Answer:
436.96
Step-by-step explanation:
Using the compoybd interest formula A=P(1+R÷N)^nt
A= Final amount 436.96
P= Initial Balance 420
r= interest rate 4%
n= number of times interest applied per time period 2
t = number of times periods elapsed 2
Answer:
480m³
Step-by-step explanation:
The entire pool have the same depth which is 4metres
Since the pool is L shaped, we will find the volume of each part and add them together to get the volume of the entire pool.
Using the formula for calculating volume of a rectangular box
V = lwh
L is the length
w is the width
h is he height
For the first pool.
Length = 8m
Width = 6m
Height = 4m (depth)
Volume = 8×6×4
Volume = 192m³
For the other pool.
Length = 12m
Width = 6m
Height = 4m (depth)
Volume = 12×6×4
Volume = 288m³
Volume of the entire pool = 192+288 = 480m³