Answer: 4x² + 4x - 2 - 
<u>Step-by-step explanation:</u>
You can use either synthetic or long division. I am using synthetic division:
2x + 3 = 0 ⇒ x = 
| 4 10 4 -6
<u>| ↓ -6 -6 3 </u>
4 4 -2 -3 ← <em>-3 is the remainder</em>
↓ ↓ ↓
4x² +4x -2 ← <em>factored polynomial</em>
Answer:
<h3> (x-8)²+(y-3)² = 81</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given the centre (8, 3) and the radius of 9, the equation of the circle will be;
(x-a)²+(y-b)² = r²
(x-8)²+(y-3)² = 9²
(x-8)²+(y-3)² = 81
hence the required equation is (x-8)²+(y-3)² = 81
Answer:
150 + 2x
The greatest common factor of 150 and 2x is 2. Factor out a 2 from both terms:
2(75) + 2(x).
Use the Distributive Property, A(B + C) = AB + AC, to rewrite the expression:
2(75 + x).
The expression 150 + 2x is equivalent to 2(75 + x).
Step-by-step explanation:
Might want to change it up a bit bc thats the exact answer. Hope that helps
Answer:
see explanation
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 5x + 4 ( subtract 4 from both sides )
y - 4 = 5x ( divide both sides by 5 )
= x
Change y back into terms of x
(x) = 
Answer:
8x^15
Step-by-step explanation:
(2x5)3
=(2x5)3
=2x5*2x5*2x5
=8x15