The answer is x².
f(x) = <span>5x - 6
</span>g(x) = x²<span> - 5x + 6
(f + g)(x) = f(x) + g(x)
= </span>5x - 6 + x² - 5x + 6
= x² + 5x - 5x + 6 - 6
= x² + 0 + 0
= x²
X² - 3x - 10
x² = x * x
10 can be factored:
1 x 10 ⇒⇒⇒ difference between factors = 9
2 x 5 ⇒⇒⇒ difference between factors = 3 ⇒ (The correct pair)
(x-5)(x+2) = x(x+2) - 5(x+2)
= x² + 2x - 5x - 10
= x² - 3x - 10
∴ x - 5 = 0 ⇒⇒⇒ x = 5
x + 2 = 0 ⇒⇒⇒ x = -2
I have attached <span>algebra tiles for the given equation.</span>
Answer:
All real numbers except -3
Step-by-step explanation:
Range refers to numbers on the y-axis.
Domain refers to numbers on the x-axis.
Both of those lines will never reach -3, just come extremely close to it.
Answer:
The height of triangle EFG is 9 units
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the area of a square ABCD
The area of a square is equal to

where
b is the length side of the square
we have

substitute

step 2
Find the height of triangle EFG
The area of triangle EFG is equal to

where
b is the base of triangle
h is the height of triangle
we have

---> area of triangle EFG is the same that the area of square ABCD
substitute the given values in the formula

solve for h

therefore
The height of triangle EFG is 9 units
Answer:
6 cones
Step-by-step explanation:
20/4 = 5 :because 4 quarters in a dollar
then 12/10= 1 1/5 : because 10 dimes are in a dollar there would be 20 cents left