Answer:
2x² - 11x + 15
Step-by-step explanation:
Find the area of the rectangle by multiplying the length and width together, using FOIL
(2x - 5)(x - 3)
Multiply the first terms:
(2x)(x) = 2x²
Multiply the first term in the parentheses by the last term in the second set of parentheses:
(2x)(-3) = -6x
Multiply the second term in the first set of parentheses by the first term in the second set:
(-5)(x) = -5x
Multiply the last terms:
(-5)(-3) = 15
Add these all together, then add like terms
2x² - 6x - 5x + 15
2x² - 11x + 15
So, the area of the rectangle is 2x² - 11x + 15
C = 2πr
17 = 2(3.14)(r)
17 = 2(3.14r)
17 = 6.28r
6.28 6.28
2.71 ≈ r
Answer:
74
Step-by-step explanation:
All you have to do it first add f(x)+ g(x) and then plug in x=5.
(f+g) = f(x) + g(x)
= (7x- 2) + (9x-4)
= 7x - 2 + 9x - 4
= 16x - 6
(f + g)(5) = 16(5) - 6
= 80 - 6
= 74
2400 in prize money...
the first winner will receive 1/3 of the money..
1/3 * 2400 = 2400/3 = 800
leaving 2400 - 800 = 1600
the next 10 winners will receive 1/10 of the remaining amount
1/10 * 1600 = 1600/10 = 160 <== each will receive $ 160