Answer: 23.2
Step-by-step explanation:
Answer:
B: (x + 2)(x - 3)^2
Step-by-step explanation:
This is only going to have 3 roots. One of them is (x - 3)
D does not look right. So let's solve it using synthetic division.
3 || 1 - 4 -3 18
3 -3 -18
========================
1 -1 -6 0
So what you have is a quadratic
- x^2 - x - 6 = 0 which will factor
- (x - 3)(x + 2) = 0
- x - 3 = 0
- x = 3
- x + 2 =0
- x = - 2
- (x - 3)(x - 3)(x + 2 ) = 0
The answer is B
Answer:
1. 5/3 cm
2. 10 in
Step-by-step explanation:
1. The length of a rectangle is 4 cm more than 3 times its width.
Let the length be L and the width B
Then,
L = 4 + 3B
If the area of the rectangle is 15 cm2
Area = LB = 15
B(4 +3B) = 15
3B² + 4B - 15 = 0
3B² - 5B + 9B - 15 = 0
B(3B - 5) + 3(3B - 5) = 0
(3B - 5)(B + 3) = 0
3B - 5 = or B + 3 = 0
B = 5/3 or -3
since B cannot be negative, B = 5/3 cm
2. The ratio of length to width in a rectangle is 2 ∶ 3.
Let the length be L and the width B
Then,
L/B = 2/3
2B = 3L, B = (3/2)L
when the area is 150 in2.
Area = LB = 150
(3/2)L² = 150
L² = 150×2÷3
L² = 100
L = √100
L = ±10
since the length cannot be negative, L = 10 in
Answer:
C) 28
Step-by-step explanation:
RSTV = WXYZ
WX = x
Jocelyn has to spend $13.46 on gas.
To find this, you first have to determine the number of miles she drives. You can find this by multiplying the speed by the travel time.
65 miles per hour * 1.5 hours = 97.5 miles.
Now that he have the amount of miles she drives, we can find the amount of gas she spends. In order to do that we'll divide the distance by the rate.
97.5 miles / 25 miles per gallon of gas = 3.9 gallons
Now we can determine the cost by multiplying the amount of gallons by the price.
3.9 gallons * $3.45 per gallon = $13.46
