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vlabodo [156]
2 years ago
12

What is the area of the combined rectangle

Mathematics
1 answer:
Art [367]2 years ago
3 0

Answer:Find The area of each rectangle is base × height.

Step-by-step explanation: Find the area of each rectangle by multiplying its base by its height. Add the areas of the rectangles together to get the total area. We split this composite shape into 2 rectangles.

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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
Select all the correct graphs.<br> Which graphs are the graphs of even functions?
Nina [5.8K]

Answer:because i know

Step-by-step explanation:

the first 2

6 0
3 years ago
8x - 14 = 7.7x + 3x
djverab [1.8K]

Answer:

x=5.2

Step-by-step explanation:

8x−14=7.7x+3x

Step 1: Simplify both sides of the equation.

8x−14=7.7x+3x

8x+−14=7.7x+3x

8x−14=(7.7x+3x)(Combine Like Terms)

8x−14=10.7x

8x−14=10.7x

Step 2: Subtract 10.7x from both sides.

8x−14−10.7x=10.7x−10.7x

−2.7x−14=0

Step 3: Add 14 to both sides.

−2.7x−14+14=0+14

−2.7x=14

Step 4: Divide both sides by -2.7.

−2.7x /−2.7  = 14 /−2.7

x=−5.185185 or 5.2

3 0
3 years ago
Larissa is on vacation and wants to rent a bicycle to explore the town. She pays a $10 flat fee and then $12 per hour for the re
Romashka [77]

Answer:

y = 12x + 10

Step-by-step explanation:

Edge, let me know if you got it right.

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!
pav-90 [236]

Answer:

26

Step-by-step explanation:

22, 24, 26, 28, 28/ 31, 33, 34, 36, 40

Put them in order from least to greatest and find the median (middle) Everything to the right of the dash is the lower quartile, everything to the left is the higher quartile. Then find the median (middle) of the lower quartile.

4 0
3 years ago
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