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olga_2 [115]
4 years ago
9

PLEASE HELP!

Mathematics
1 answer:
melomori [17]4 years ago
7 0

(-2x^2)^3*3x is -24x^7

exponents first

(-2x^2)^3

(-2)^3 x^(2)^3  (when raised to a power multiply the powers on the exponent)

(-2) *(-2) *(-2)*x^(2*3)

-8 x^6

-8 x^6 * 3x

-8*3 * x^6 *x  (when multiplying  add the exponents)

-24 x^(6+1)

-24 x^7

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Solve the simultaneous equations<br> y=9-x<br> y=2x^2+4x+6
NeTakaya

Answer:

check work below

Step-by-step explanation:

A( 3 ,6)  and  B(1/2,17/2)

4 0
3 years ago
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Determine the equation for the given line in slope intercept form.
Vera_Pavlovna [14]

Answer:

y = - \frac{3}{5} x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (5, - 4) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = \frac{-1+4}{0-5} = \frac{3}{-5} = - \frac{3}{5}

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - \frac{3}{5} x - 1 ← equation in slope- intercept form

7 0
4 years ago
The table shows the monthly low temperature for several cities in December. The monthly low temperature in Toledo in December wa
alex41 [277]

Of these cities, the place that has the lowest temperature than Toledo is Youngstown.

<h3>What is the temperature of Youngstown?</h3>

The town is known to have a temperature that is less than 20. This shows that the temperature has fallen below all other temperatures in the table.

Hence it can be concluded that the lowest table here is the temperature of Youngstown at -20 degrees.

Read more on temperature here:

brainly.com/question/25677592

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8 0
2 years ago
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

<u>For maxima of f(x), f'(x) = 0</u>

7000  - 265x = 0

Thus,

x = 26.4151

<u>Since, x represents tress, so, x is 26.</u>

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

3 0
3 years ago
Select the best answer Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what wi
malfutka [58]

Answer:

\$1,436.70

Step-by-step explanation:

we know that

1\ ft=12\ in

step 1

Convert 15 foot 6 inch to feet

15\ ft\ 6\ in=15+(6/12)=15.5\ ft

step 2

Find the area of the room

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step 3

Find the cost

5.98*(240.25)=\$1,436.70

8 0
4 years ago
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