Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
7/8 x 2/5
Multiply the numerator by the other numerator and the denominator by the other denominator.
14/40
Simplify
Final Answer: 7/20
20 is the lowest of the upper 3 numbers, so the missing number must be 19 when averaged with 20. That is, the missing number must be ...
2*19 -20 = 18
Answer:
A
Step-by-step explanation:
The graph of h(x) = (x-3)^2. The (x-3) indicates that the graph is shifted horizontally right 3 units because the change takes place inside the parantheses. Because the units are being subtracted, the graph will shift to the right. I highly recommend using Desmos to find your answer next time.