BEST GETS BRAINLIESTThe water height of a pool is determined by
8g^2 + 3g − 4, the rate that the pool is filled, and 9g^2 − 2g − 5, the rate that water leaves the pool, where g represents the number of gallons entering
or leaving the pool per minute.
a. Write an expression that determines the height of the water in the pool.
b. What will be the height of the water if g = 1, 2, 3, and 4?
c. To the nearest tenth, at which value for g will the water reach its
greatest height? Explain.
Answers
b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5
g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7
g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5
c) Greatest height
Find the vertex of the parabole
The vertex is at the mid point between the two roots.
To find the roots you can use the quadratic equation
The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2
The middle poin is 5/2 = 2.5
Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3
Related Questions
What two numbers multiply to 100 and add to 20???
Pat helps run an animal shelte.The actual number of animals brought in during a particular month was 150. The percent error was 12%. If pat estimated on the high side (more than 150), how many animals did Pat think were brought to the shelter
A truck driver drove 300 miles in 6 3/4 hours. How many miles per hour did the driver drive?
What is the range of 50,48, 56, 58, 54, 50, 48, 56, 46
Answers
hope it this helps.:)
Answers
(A) 4 mph
(B) 5 mph
(C) 6 mph
(D) 30 mph
Answers
Answer:
(C) 6 mph
Step-by-step explanation:
Given,
The time taken by Tobin = 30 minutes,
While, the time taken by her opponent = 45 minutes,
So, the ratio of the time taken by tobin and her opponent = 30 : 45
Thus, the ratio of speed of tobin and her opponent =
= 45 : 30
= 3 : 2
Suppose speed of tobin = 3x and speed of opponent = 2x
Where, x is positive real number,
Difference in speed = 3x - 2x = x
According to the question,
x = 2 miles per hour,
Hence, the speed of Tobin = 3x = 6 miles per hour.
Option (C) is correct
d = ( x + 2) *30 Tobin
x * 45 = ( x + 2) *30
x* 15 = 60
x = 4
x + 2 = 6 mph
Answers
Answer:
No
Step-by-step explanation:
because you multiply 21 times 47 =987 and there is 500 people if Abbigali wants to give ereyone 2 he has to have 1,000
Answer: no
Step-by-step explanation:
47 bgs tims 21 in each bag gives
47 x 21 = 987 candies in all
if there are 500 people then lets divide the number of candies by the number of people to see how much each person gets
so 987/500 = 1.97
so NO there would not be enough candies for each person to get 2
as you see each person will get 1.97
Answers
1 millenium - 1000 yrs
1 century -100 yrs
100 x 10 - 1000yrs
B. –3 • (5 + 8.5) = –3 • 5 + (–3) • 8.5
C. + 1.8 = 1.8 +
D. –7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)
Answers
Associative Property is a rule that refers to grouping. The rule is "a + (b + c) = (a + b) + c".
The correct answers are (A) and (D)
(A) = (11 + 2.2) + (–5) = 11 + [2.2 + (–5)]
(D) = –7 + [4 + (–2.1 • 6)] = (–7 + 4) + (–2.1 • 6)