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Mama L [17]
3 years ago
12

PLEASE HELP ME!!

Mathematics
1 answer:
Grace [21]3 years ago
5 0
Take the derivative:
g’(x) = 12x^3 - 24x^2

Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)

x = 0 or x = 2

Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0

g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52

There is an absolute max at (0,0) or when x = 0
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y=x

Step-by-step explanation:

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1. Find the slope of the line that passes through the points (9, 7) and (2, 9).
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Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (9, 7) and (2, 9) = (9-7)/(2-9) = -2/7

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The top of a house is 32 feet above ground. The basement floor is 12 feet below
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4 years ago
(2x105)/(3x103) + 3x103 * 5x102
AleksAgata [21]

Answer:

1500066.66

Step-by-step explanation:

Given: (2\times10^{5} )/(3\times 10^{3} ) + 3\times10^{3} \times 5\times10^{2}

Now, simplifying it.

Using PEDMAS in solving the expression

First opening the parenthesis

= 2\times10^{5} /3\times 10^{3}  + 3\times10^{3} \times 5\times10^{2}

Next dividing the number

as per law of indices, x^{m} \div x^{n} = x^{m-n}

= 2\times10^{5-3} /3 + 3\times10^{3} \times 5\times10^{2}

= 2\times10^{2} /3 + 3\times10^{3} \times 5\times10^{2}

= \frac{2\times10^{2} }{3}  + 3\times10^{3}  \times 5\times10^{2}

Next multiplying the number as per PEDMAS

as per law of indices, x^{m} \times x^{n} = x^{m+n}

= \frac{2\times10^{2} }{3}  + 15\times10^{3+2}

= \frac{2\times10^{2} }{3}  + 15\times10^{5}

= \frac{2\times 100}{3}  + 15\times10^{5}

Next dividing the number as per PEDMAS

= 2\times 33.33  + 15\times10^{5}

Next multiplying the number as per PEDMAS

= 66.66+1500000

Now adding the number

= 1500066.66

4 0
3 years ago
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