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lilavasa [31]
3 years ago
8

Simplify The Following Expression! Thanks!

Mathematics
1 answer:
andrew11 [14]3 years ago
3 0
It would be -14.......
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Evaluate 10x^2y^-2 for x = –1 and y = –2a) 10(2)^0b) 2 1/2c) 40d) 5/8
timurjin [86]
10x^2y^-2 = 10 x (-1)^2 x (-2)^-2 = 10 x 1 x 1/4 = 10/4 = 2 1/2
6 0
4 years ago
Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com
fredd [130]

f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}

f has critical points where the derivative is 0:

2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1

The second derivative is

f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}

and f''(-1)=\frac2e>0, which indicates a local minimum at x=-1 with a value of f(-1)=\frac1e.

At the endpoints of [-2, 2], we have f(-2)=1 and f(2)=e^8, so that f has an absolute minimum of \frac1e and an absolute maximum of e^8 on [-2, 2].

So we have

\dfrac1e\le f(x)\le e^8

\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx

\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}

5 0
3 years ago
PLEASEE SOMEONE HELPPP!!!
ozzi

Answer: $450 i think. hope this

aking additional principal payments will shorten the length of your mortgage term and allow you to build equity faster. Because your balance is being paid down faster, you'll have fewer total payments to make, in-turn leading to more savings.

and the 2) because your monthly payments are lower on a loan with a longer repayment term, this gives you more wiggle room in your budget. You may need this extra cash to put towards other important goals.

Step-by-step explanation:

3 0
4 years ago
PLEASE HELP!!!! It’s urgent
katrin [286]

Answer:

(-1,4)

Step-by-step explanation:

The interval in which the function is decreasing is (-1, 4)

8 0
3 years ago
Read 2 more answers
What is (7,8.5) reflected over the y-axis
Ivenika [448]

Answer:

(-7,8.5)

Step-by-step explanation:

On a reflection off the y-axis, the x value gets negated. So 7 would become -7.

5 0
3 years ago
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