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ololo11 [35]
2 years ago
11

Solve -5(3n + 4) = 40.

Mathematics
1 answer:
Sveta_85 [38]2 years ago
3 0
N=-4
Distribute the -5
-15n-20=40
-15n=60
n=-4

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Emma's final grade in her math class is the average (mean) of her 5 chapter tests she took throughout the year. If she received
NikAS [45]

Answer:

Step-by-step explanation:

The mean (or average) of a set of numbers can be found with the following formula:

Mean = \frac{A_{1} + A_{2} + ... + A_{N}}{N}

For this problem, we have five numbers, so we add them together and divide by 5:

Mean = \frac{92 + 85 + 78 + 97 + 88}{5}

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Answer:

Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

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Volume =  height x length x width

considering 'x' as the length of the square corners that has been cut out from the cardboard and also, that is height of the cardboard box.

square corners are cut out so that the sides can be folded up to make a box, cardboard sides would reduce by 2x

therefore,

V = x  (30-2x) (30-2x) ---> eq(1)

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V= 900x- 60x² - 60x² + 4x³

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dV/dx = 0

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x² - 20x + 75 =0

Solving this quadratic equation

x² - 15x -5x + 75 =0

x(x-15) - 5(x-15) =0

Either (x-15)=0

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Or x-5=0

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if we substitute x=15 in eq(1), volume becomes zero.

therefore, x cannot be 15

When x= 5

eq(1)=>V = 5  (30-2(5)) (30-2(5))

V= 5 (10) (10)

V= 500 cubic inches,

Therefore, Dimensions 5in x 10in x 10in will yeild a box with a max. volume of  500 cubic inches

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3 years ago
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S = - 1
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<span>f(x) = x-2/3 and g(x) = 2-3x</span>
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