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frutty [35]
2 years ago
9

The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function o

f the length of the rectangle, x. What is the maximum area of the rectangle?
3 square units
6 square units
9 square units
12 square units
Mathematics
1 answer:
Mrac [35]2 years ago
8 0

Answer:

9 square units

Step-by-step explanation:

f(x) = -(x - 3)² + 9

= 9 -(x - 3)²

9 minus something, the result is always less than 9, at most equal to 9.

So the maximum f is 9 square units

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Holden drove 110 miles in 2 3/4 hours. What was Holden's speed in miles per hour?
bazaltina [42]

Answer:

Holden's seed is 40 miles per hour

Step-by-step explanation:

The given parameters are;

The distance Holden drove = 110 miles

The  time duration in which Holden drove = 2 and 3/4 hours = 11/4 hours = 2.75 hours

Therefore, Holden's speed, s, can be found from the relationship;

Speed, s = Distance/time = 110 miles/(11/4 hours) = 40 miles per hour

Holden's seed = 40 miles per hour.

8 0
3 years ago
A submarine cuts through the water at an elevation of 203 meters under the sea. The sub rises, and the elevation changes by 4.3
maw [93]
The answer is -76.1 meters.

The submarine elevation before rising is -203 meters (it is negative because it is under the sea level which has 0 elevation): d₁ = -203 m
After the first rising, it moved 64.5 m: l₁ = 4.3 · 15 = 64.5 m
After the second rising, it moved 62.4 m: l₂ = 5.2 · 12 = 62.4 m

So, to calculate the elevation of the submarine after rising (d₂), we will add (because it is not going deeper, it rises toward the elevation of 0) two movements to the elevation before rising:
d₂ = d₁ - (l₁ + l₂) = -203 + (64.5 + 62.4) = -203 + 126.9 = -203 + 126.9 = -76.1.
5 0
3 years ago
An aquarium has a length of n^ 2 +2 inches, a height of n + 5 inches, and a width of 10 inches. What is the volume, in cubic inc
kodGreya [7K]

The formula of a volume of a rectangle prism:

V=lwh

l - length

w - width

h - height

We have

l=n^2+2;\ w = 10,\ h=n+5

Substitute:

V=(n^2+2)(10)(n+5)=(10n^2+20)(n+5)\\\\=(10n^2)(n)+(10n^2)(5)+(20)(n)+(20)(5)\\\\=10n^3+50n^2+20n+100

<h3>Answer: V = (10n³ + 50n² + 20n + 100) in³</h3>
5 0
3 years ago
A pound of chocolate costs 8 dollars. Maria buys p pounds. Write an equation to represent the total cost c that Maria pays
horsena [70]

Answer: 8p=c

Step-by-step explanation:

4 0
3 years ago
What is the value of x in the equation
Lera25 [3.4K]
The answer to that is 2
7 0
3 years ago
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