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Svetlanka [38]
3 years ago
14

Choose the correct absolute value inequality and graph for the solution -1.2≤x≤2

Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Answer:

\large\boxed{|5x-2|\leq8}

Step-by-step explanation:

-1.2\leq x\leq2\qquad\text{multiply all sides by 5}\\\\-6\leq5x\leq10\qquad\text{subtract 2 from both sides}\\\\-8\leq5x-2\leq8\iff|5x-2|\leq8

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Answer:

Step-by-step explanation: 471,464

4 0
3 years ago
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Integral 1+cos8x/tan2x-cot2x
UkoKoshka [18]
I believe it's<span> 8cos(x)⁸ - 16cos(x)⁶ + 10cos(x)⁴ - 2cos(x)².

</span>8cosx^8 - 16cosx^6+10cosx^4-2cosx^2<span>

Alternately, you can write [</span><span><span>1 / (tan(2x) - cot(2x))] + [cos(8x) / (tan(2x) - cot(2x))].

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5 0
3 years ago
PLEASE ANSWER ASAP
Vlada [557]

Answer:

c

Step-by-step explanation:

For an inverse function you take f(x) and turn that to y then you switch x and y. So you should start off with y= 5x -8. so then you switch x and y so x= 5y - 8. So then you solve. You subtract 8 from both sides and divide by 5 and you get F(x) inverse = x + 8/5

8 0
3 years ago
2. Determine the sum of the first 400 ODD numbers.<br><br>​
il63 [147K]

Odd numbers take the form 2n-1, where n\ge1 is an integer. When n=400, the last odd number would be 799. So we're adding

S=1+3+5+\cdots+795+797+799

By reversing the order of terms, we have

S=799+797+795+\cdots+5+3+1

and we can pair up terms in both sums at the same position to write

2S=(1+799)+(3+797)+(5+795)+\cdots(795+5)+(797+3)+(799+1)

so that we are basically adding 400 copies of 800, and from there we can find the value of the sum right away:

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###

We could also make use of the formulas,

\displaystyle\sum_{i=1}^n1=n

\displaystyle\sum_{i=1}^ni=\dfrac{n(n+1)}2

We have

S=\displaystyle\sum_{i=1}^{400}(2i-1)=2\sum_{i=1}^{400}i-\sum_{i=1}^{400}1=400(400+1)-400=400^2=160,000

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3 years ago
Find the balance in an account when $600 is deposited at 3% compounded annually for 2 years.
Debora [2.8K]

Step-by-step explanation:

i belive the the answer would be 10000000

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3 years ago
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