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Korvikt [17]
3 years ago
13

X3 + 11x2 – 3x – 33 by grouping?

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0
Simplify 11x2 to 22
X^3+22-3x-33
Collect like terms
X^3(22-33)-3x
Simplify
X^3-11-3x
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Need help question #3. Show steps please
Oksana_A [137]

Answer:

B.

Step-by-step explanation:

We are given:

\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx

And we want to select its equivalent form.

Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.

We can simply rewrite and then distribute. First, by rewriting:

\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx

Distribute. Recall exponent properties;

\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx

Simplify:

\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx

This can then be separated (since its addition/subtraction) and integrated individually.

Hence, our answer is B.

8 0
3 years ago
The Woodland Trail consists of four equal parts. If the entire trail is 1/2 of a mile long, how long is each part of the trail?
zhuklara [117]
Each part is 0.125 long
4 0
3 years ago
Pls helpppp i don’t want to fail
grigory [225]

Answer:

10.99 ft

Step-by-step explanation:

If the diameter is 3.5 ft,

We can find the circumference by

C = pi *d

C = 3.14 * 3.5

10.99

4 0
4 years ago
Read 2 more answers
Paula has her own business making cakes for
djverab [1.8K]

Answer:

Since Paula has her own business of making cakes for special occasions, and the total price (P) of one of Paula's cakes is represented by the equation P = 0.75S +10, where S is the number of people the cake serves, for determine what does the 0.75 represent in this situation and what does the 10 represent in this equation, the following mathematical reasoning must be carried out:

P is the price of the cake

S is the number of servings

Therefore, 0.75 is the value of each serving, which can be variable (the number of servings can vary)

In turn, 10 is the fixed cost of each cake.

4 0
3 years ago
46, 27, 48, 96, 61, 84, 29 1, 64, 5, 34 interquartile range<br>A.19<br>B.37<br>C.73<br>D.46
Yanka [14]
If you would like to know the interquartile range from the following set of numbers, you can find this using the following steps:

<span>The interquartile range is the difference between the third and the first quartiles.
</span>
Lower quartile: 27
Upper quartile: 64
<span>Interquartile range: upper quartile - lower quartile = 64 - 27 = 37
</span>
The correct result would be B. 37.
5 0
3 years ago
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