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katovenus [111]
3 years ago
6

Sketch the graph of the function below, including correct signs, x-intercepts and y-

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0

Answer:

Sketch the graph of the function below, including correct signs, x-intercepts and y-

intercepts.

f(x) = (x + 2)²(x – 5)2

y

200

180

160

140

120

100

80

60

40

20

-10 9 8 7 6 5 4 3 2

1

2

3

5

6

7

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Rationalize the numerator or denominator, and simplify:
allochka39001 [22]
\dfrac{\sqrt[3]{x+h}-\sqrt[3]x}h\times\dfrac{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}{\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2}}=\dfrac{(\sqrt[3]{x+h})^3-(\sqrt[3]x)^3}\cdots
=\dfrac{x+h-x}\cdots=\dfrac h\cdots

The hs then cancel, leaving you with the \cdots=\sqrt[3]{(x+h)^2}+\sqrt[3]{x(x+h)}+\sqrt[3]{x^2} term.

If it's not clear what I did above, consider the substitution a=\sqrt[3]{x+h} and b=\sqrt[3]x. Then

a^3-b^3=(a-b)(a^2+ab+b^2)
\implies\dfrac{a-b}h=\dfrac{a-b}h\times\dfrac{a^2+ab+b^2}{a^2+ab+b^2}=\dfrac{a^3-b^3}{h(a^2+ab+b^2)}
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3 years ago
Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 mi
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Answer:

all i know is species A is faster, but i dont really feel like seeing witch one goes how much slower or faster

Step-by-step explanation:

ok so if you use the unit speed, you should get a higher one for species A.

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3 years ago
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Picturing the way a volcano erupts to remember how a volcano functions is called
SOVA2 [1]
The correct answer to this question is letter A which is visualizing. Visualizing is the act of picturing a certain situation in your head to recall how it works. In this example, you want to remember how a volcano functions. A volcano erupts. So in order to remember this, you picture in your mind a volcano that is erupting. So once you are asked a question about the functions of a volcano, your mind will immediately show the picture of a volcano erupting. 
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2 years ago
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Water drips from a faucet at a rate of 41 drops/minute. Assuming there are 15,000 drops in a gallon, how many minutes would it t
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Answer:

366 mins

Step-by-step explanation:

first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366

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3 years ago
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The following lines are ______ <br><br> 4x + 2y = 10 y = -2x + 15
zmey [24]

Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

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given

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y = - 2x + 5 ← in slope- intercept form

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and

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• parallel lines have equal slopes

then the 2 lines are parallel

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1 year ago
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