C. 42.39 times 0.1 is 4.239. 42.39-4.239= 38.151 which rounds to 38.15
Answer:
Step-by-step explanation:
If you want to make

into a perfect square binomial, take half the linear term, square it, then add it to both sides. Our linear term is 12. Half of 12 is 6, and 6 squared is 36.
The value that makes this a perfect square binomial is 36.
Writing the expression as a square of the binomial is:

Answer:
x = -20
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4 2x + 8
2x+14 + 2x + 20 - 2 = x + 4 + 2x + 8
4x +32 = 3x + 12
x = -20
Answer:
x₁ = 0.6
x₂ = 1.07
Step-by-step explanation:
36x² + 23 = 60x
36x² - 60x + 23 = 0
x = {-(-60)±√((-60²)-(4*36*23))} / (2*36)
x = {60±√(3600-3312)} / 72
x = {60±√288) / 72
x = {60±16.97) / 72
x₁ = {60-16.97} / 72 = 43.03/72 = 0.6 aprox.
x₂ = {60+16.97} / 72 = 76.97/72 = 1.07 aprox.
verify:
x₁
36*0.6² + 23 = 60*0.6
36*0.36 + 23 = 36
13 + 23 = 36
x₂
36*1.07² + 23 = 60*1.07
36*1.145 + 23 = 64.2
41.2 + 23 = 64.2
Answer:
41
Step-by-step explanation:
substitute x=-2 and y=6, we know
8×6 +4×(-2) -(2×(-2) +3) = 48-8-(-1) =41