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3 years ago

Factor:

Mathematics

1 answer:

Naddik [55]3 years ago

3 0

Answer:

D) (5x - 3) (25x^2+ 15x + 9)

Step-by-step explanation:

$125 {x}^{3} - 27 \\ \\ = ( {5x)}^{3} - {(3)}^{3} \\ \\ = (5x - 3) \{(5x) ^{2} + 5x \times 3 + ( {3})^{2} \}\\ \\ = (5x - 3) \{25 {x}^{2} + 15x + 9\}$

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2(2w - 6) + 2(w) = 3(w + 8)

borishaifa [10]

Answer:

w=12

Step-by-step explanation:

4w-12+2w-3w-24=0

3w-36=0

3w=36

w=12

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3 years ago

Drag each tile to the correct box consider the given functions f,g and h place the tiles in order from least to greatest accordi

Alja [10]

Answer:

Step-by-step explanation:

By definition, the average rate of change of a function f over an interval [a,b] is given by

$\dfrac{f(b)-f(a)}{b-a}$

compute the quantity

$\dfrac{f(3)-f(0)}{3}$

for all the three function

Average rate of change of f:

We will simply use the table to check the values for f(3) and f(0):

$\dfrac{f(3)-f(0)}{3}=\dfrac{10-1}{3} = 3$

Average rate of change of g:

We will use the graph to to check the values for g(3) and g(0):

$\dfrac{g(3)-g(0)}{3}=\dfrac{8-1}{3} = \dfrac{7}{3}$

Average rate of change of h:

We can plug the values in the equation to get h(3) and h(0):

$h(3)=3^2+3-6=9+3-6=6,\quad h(0)=0^2+0-6=-6$

And so the average rate of change is

$\dfrac{h(3)-h(0)}{3}=\dfrac{6-(-6)}{3} = 4$

3 0

3 years ago

If g(x)=2x+1 and h(x)=x-2 then find (g-h)(x)

qwelly [4]

(g-h)(x) = 2x+1 -(<span>x-2)
</span>(g-h)(x) = 2x+1 - x + 2
(g-h)(x) = x + 3

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3 years ago

A laptop has a listed price of $899.98 before tax. If the sales tax rate is 7.25%, find the total cost of the laptop with sales

Tems11 [23]

Answer:

$965.23

Step-by-step explanation:

899.98 x .0725 = 65.25

899.98 + 65.25 = 965.23

- Hope this helps! If you need a further explanation please let me know.

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3 years ago

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marusya05 [52]

The perimeter of a figure is the total distance around the edge of the figure. The area of a flat, or plane figure is the number of unit squares that can be contained within it. The unit square is usually some standard unit, like a square foot or a square inch. I don't really know the rest but I did the first two lol

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3 years ago