<span>(3k^2+2)(k+5^2)
so first simplify the 5^2 = 25
so </span><span>(3k^2+2)(k+25)
now open the brackets :
3k^3 + 75k^2 + 2k + 50
are you sure that the question has been copied exactly? as none of the options are correct in this case </span>
Answer:
length = 25 feet and width = 17 feet
Step-by-step explanation:
area (A ) = length × width, hence
A = (x + 10)(x + 2) ← expand factors
= x² + 12x + 20
given A = 425, then
x² + 12x + 20 = 425 ( subtract 425 from both sides )
x² + 12x - 405 = 0 ← in standard form
(x + 27)(x - 15) = 0 ← in factored form
equate each factor to zero and solve for x
x + 27 = 0 ⇒ x = - 27
x - 15 = 0 ⇒ x = 15
but x > 0 ⇒ x = 15, therefore
length = 15 + 10 = 25 feet and width = 15 + 2 = 17 feet
Answer:
10 boys, 15 girls
Step-by-step explanation:
Original ratio: 2 boys/3 girls
let x be the scale factor of the ratio
2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1
Simplify: 2x+5=3x
Simplify: 5=x
plug x back into the original ratio: 10/15
Check: 10/15 = 2/3
10 boys + 5 boys = 15, 15/15 = 1
Answer:
483/798-5458+7429=19035674846 :))
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
2x+6=8
= 2x=2
= x=1