F(x) = x² + x - 20 = x² + 5x - 4x - 20 = x(x + 5) - 4(x + 5) = (x + 5)(x - 4)
f(x) = 0 ⇔ (x + 5)(x - 4) = 0 ⇔ x + 5 = 0 or x - 4 = 0 ⇒ x = -5 or x = 4
Answer: C. x = -5 and x = 4.
Answer: a) 0.2500
b) 0.1875
c) 0.4375
d) 1.414
e) 0, x/2
f) 1.3333
g) 0.4714
h) 2
Step-by-step explanation: see attachment below
Answer:
2/3
Step-by-step explanation:
51, 60, 63, and 65 are greater than 50.
Answer:
The length and width of the prism are 20 metres and 5 metres respectively
Step-by-step explanation: given that the length of a rectangular prism is four times its width. That is
Length L = 4 width W
L = 4W
the volume of the prism is 380 cubic meters
V = L × W × H
380 = 4W × W × H
380 = 4W^2H
W^2H = 380/4
W^2 H = 95
The only way to get a perfect square number is to make H = 3.8
3.8W^2 = 95
W^2 = 95/3.8
W^2 = 25
W = 5
But L = 4W
L = 4 × 5 = 20
The length and width of the prism are therefore 20 metres and 5 metres respectively
Answer:
The fact that the two lines have the same slope is proof that they are parallel.
