Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
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 = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
3x - 1 = 9x + 2
3x (-3x) - 1 (-2) = 9x (-3x) + 2 (-2)
-3 = 6x
-3/6 = 6x/6
-1/2 = x
hope thsi helps
H(x) = 0.15x - 0.19
p(x) = 0.29x - 0.16
(p · h)(-8) = (0.29(-8) - 0.16)(0.15(-8) - 0.19)
(p · h)(-8) = (-2.32 - 0.16)(-1.2 - 0.19)
(p · h)(-8) = (-2.48)(-1.39)
(p · h)(-8) = 3.4472
It is approximately equal to 3.
Answer:
- The value of PR is 21 ft.
Step-by-step explanation:
<u>We know that:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- PQ = 7 ft.
- QT = 4 ft
- RS = 12 ft.
<u>Work:</u>
- 3(PQ + QT + TP) = PR + RS + SP
- => 3(7 + 4 + TP) = PR + 12 + SP
- => 21 + 12 + 3TP = PR + 12 + SP
- => 21 + 3TP = PR + SP
- => 21 + SP = PR + SP [3TP = SP]
- => 21 = PR
Hence, <u>the value of PR is 21 ft.</u>
Hoped this helped.
