Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
For this case, the first thing we must do is multiply both functions to obtain the desired result.
We have then:
f (x) = 2x
g (x) = x ^ 2-1
Multiplying we have:
(f * g) (x) = (2x) * (x ^ 2-1)
Answer:
The following statement is correct:
B. (f * g) (x) = 2x (x ^ 2-1)
Answer:
SMALL ANGLE...30-degrees
LARGE ANGLE...60-degrees
Step-by-step explanation:
SMALL ANGLE...x
LARGE ANGLE...2x
Complementary angles total 90-degrees.
x+2x=90
3x=90
Let's divide both sides by 3...
(3x)/3=90/3
x=30
2x=60
Answer:
Step-by-step explanation:
It is assumed PQS and RQS are similar triangles.
<u>The ratio of corresponding sides is equal:</u>
<u>Substitute side lengths and solve for x:</u>
- 15/(3x - 4) = 21/(5x - 16)
- 15(5x - 16) = 21(3x - 4)
- 5(5x - 16) = 7(3x - 4)
- 25x - 80 = 21x - 28
- 25x - 21x = 80 - 28
- 4x = 52
- x = 52/4
- x = 13
Answer:
2x^11
Step-by-step explanation:
distributing x^8(2x^3) makes 2 * x^3 * x^8. To multiply exponents, just add the powers together to make 11. This makes 2x^11.