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3 years ago

3/4x^2+8x+20=0 factor

1 answer:

6 0

$\frac{3}{4} {x}^{2} + 8x + 20 = 0$
multiplied by 4
$3 {x}^{2} + 32x + 80 = 0 \\ (3x + 20)(x + 4) = 0 \\ so \: x = - \frac{20}{3} \: or \: x = - 4$

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A farmer finds that if she plants 100 trees per acre, each tree will yield 35 bushels of fruit. She estimates that for each addi

castortr0y [4]

Answer:

126 trees should she plant per acre to maximize her harvest.

Step-by-step explanation:

Let x be the additional tress that must be plant after planting 100 tress.

So, total number of trees = 100 + x trees

Also, Each additional tree planted decreases the yield of each tree by 3 bushels.

So , net bushels by each tree = 35 - 3x

The revenue function becomes

f(x) = (100 + x)(35 - 3x)

Thus,

Differentiating it by using chain rule as:

f'(x) = (100 + x)35 + 100(35 - 3x)

f'(x) = 3500 + 35x + 3500 - 300x

f'(x) = 7000 - 265x

For maxima of f(x), f'(x) = 0

7000 - 265x = 0

Thus,

x = 26.4151

Since, x represents tress, so, x is 26.

So, total tress she would plant to earn maximum revenue = 100 + 26 = 126 trees

3 0

3 years ago

Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jim?

goldenfox [79]

Answer: Jim is 15 years old

Jim = 15 years old,
Dad is 4 times as old as his son Jim = = 15 x 4 = 60

In 10 years, Jim = 15 + 10 =25 years old
Dad = 60 + 10 = 70

Dad's age will be 20 years more than twice Jim's age

Dad's age = 20 + 2(25) = 70

6 0

3 years ago

Read 2 more answers

Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy

Aloiza [94]

4p+5=32 or 7 packages

I got this because there are 4 bracelets in one package and she doesn't know how many packages she needs so we put p for packages next to the 4 and you already have 5 so you add the 5 to it, all of that should come out to 32. If the equation wasn't what you were looking for you subtract 5 from 32 and get 27, then you divide 4 by 27 and you get 6.75, then you round it up and you get 7. The number of packages she needs is 7.

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2 years ago

Sheila is building a triangular sandbox in her backyard. She has obtained the measurements in the diagram below. The angle is

HACTEHA [7]

Answer:

6.4 ft, the second option. hope this helps! :))

8 0

3 years ago

Olivia said her pencils is 14.0 cm long. how do you know she measured to the nearest millimetre?

erma4kov [3.2K]

Olivia measured to the nearest millimetre because the tenths place value is 0.

7 0

4 years ago