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Gre4nikov [31]
2 years ago
8

PLS HELP!!! WORTH 20 POINTS!!

Mathematics
1 answer:
Andrews [41]2 years ago
4 0

Answer:

Third option {(-3,4),(-1,5),(0,7),(2,2),(5,7)}

Step-by-step explanation:

I think

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Find the limit of the function by using direct substitution.
serg [7]

Answer:

Option a.

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

Step-by-step explanation:

You have the following limit:

\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}

The method of direct substitution consists of substituting the value of \frac{\pi}{2} in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing x=\frac{\pi}{2}

Therefore:

\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}

cos(\frac{\pi}{2})=0\\

By definition, any number raised to exponent 0 is equal to 1

So

\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\

\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1

Finally

\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1

6 0
3 years ago
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profi
Aliun [14]
I believe the answer is 267

If each is worth $25 and it costs $10 then he is making $15 profit.

4000/15 is 266.6666667

So you would need 267
8 0
3 years ago
Given f(x) = the quantity of 2x minus 2 divided by 4, solve for f−1(3).
spin [16.1K]
Given: f(x)=(2x-2)/4
find f^-1(3)?
we need to find the inverse of f(x), so
x=(2y-2)/4
2y-2=4x
y-1=2x
y=2x+1
so, then f^-1(x)=2x+1
f^-1(3)=2(3)+1
=6+1
=7
so, the answer is 7

6 0
3 years ago
Which expression represents eight times a number, v?
Trava [24]

Answer:C. Easy

Step-by-step explanation:

8 0
3 years ago
Express the fact that X differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x
defon
An inequality is also an algebraic equation. However, instead of '=' sign, it uses either of these: <, >, ≤, ≥. To translate: <span>X differs from 2 by more than 3, that would be:

2 - x > 3 
We use the '>' equation because the open area should face the larger value. Solving the equation:
-x > 3 - 2
-x > 1
x > -1</span>
5 0
3 years ago
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