Answer:
C. y = 2 (x + 3)³ − 4
Step-by-step explanation:
y = x³
Stretch vertically by 2.
y = 2x³
Shift horizontally 3 units to the left.
y = 2 (x + 3)³
Shift vertically 4 units down.
y = 2 (x + 3)³ − 4
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
Answer: length = 4.5 m, width = 3 m
Step-by-step explanation:
When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.
length = 3 * 1.5 = 4.5 m
width = 2 * 1.5 = 3 m
X=4-y would be your answer
Answer:
see explanation below
Step-by-step explanation:
You have three pairs of shoes (white, brown, and black), and you have 6 pairs of pants ( brown, blue, grey, white, sand, and black)
We use the Fundamental Counting Principle to find the number of possible pant-shoe combinations:
3 * 6 = 18
then we can find the probability of wearing by random selection brown shoes with either blue or grey pants:
prob (brown shoes & blue pants) + prob (brown shoes & grey pants) =
= 1/18 + 1/18 = 2/18 = 1/9
