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3 years ago

Simplify (7x +2) 3 +8x

Mathematics

2 answers:

Iteru [2.4K]3 years ago

3 0

Get rid of brackets:
21x +6 +8x
Put 6 to the other side:
21x +8x = -6
27x = -6
Divide both sides by 27
X= -0.22

GenaCL600 [577]3 years ago

3 0

Answer: 29x+6

1) regroup terms

3(7x+2)+8x

2) expand by distributing terms

21x+6+8x

3) collect like terms

(21x+8x)+6

4) simplify

29x+6

Read more about percentages at:

brainly.com/question/843074

#SPJ1

7 0

2 years ago

Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago

Need help with this quiz please

oee [108]

Answer:

Step-by-step explanation:

Alternate means opposite side and interior is inside the line

So angle 5

8 0

3 years ago

Read 2 more answers

what TRANSFORMATIONS take place to the parent graph f(x)= log(x) to achieve the graph g(x)=log(-2x-4)+5?

Leona [35]

The -4 will translate the graph of f(x) 4 units to the right.
Then the -2 before the x will stretch it vertically with factor 2, then reflect it in the y -axis.
Finally the + 5 will translate the graph 5 units vertically upwards

4 0

3 years ago

Help me pls and explain

posledela

Answer:

Step-by-step explanation:

I believe it is A because there is not any repeating X's. There is a repeating y which is 1. Therefore it is A.

7 0

3 years ago