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Alika [10]
3 years ago
6

Find the slope of the line that passes through these two points: (-12, -1) and (-3,-4)

Mathematics
1 answer:
ziro4ka [17]3 years ago
7 0
-1/3 is the slope of the line
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What is the greatest common factor of 6a , 8a^2 and 14?
trapecia [35]

Answer:

The greatest common factor is 2.

5 0
3 years ago
Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
3 years ago
Read 2 more answers
Chris earns a fixed amount of money every month. At the end of 2 years, chris had earned $86,688. He earned $ each year. He earn
dmitriy555 [2]

Answer:

Chris earned $ 43,344 each year

Monthly Chris earns $ 3,612

Step-by-step explanation:

If you earn a fixed amount of money each month, for 2 years and one year you have 12 months, then 2 years equals 24 months.

To know how much you earn each month we divide the total amount earned in the two years between 24 months

I = $ 86,688 / 24

I = $ 3,612

Monthly Chris earns $ 3,612


To calculate what he earned each year we divided $ 86,688 / 2

I = $ 86,688 / 2

I = $ 43,344

Chris earned $ 43,344 each year

6 0
3 years ago
Ratios that are equivalent to 7: 6.
Alex

Step-by-step explanation:

21:18=7:6

42:36=7:6

63:54=7:6

7 0
3 years ago
Simplify the expression. 34 • 3
bekas [8.4K]

Answer:

102

Step-by-step explanation:

34*3=102

the dot in the middle is just another way to say that it is multiplying the equation so it just mean that your are multiplying 34 by 3 which is 102

3 0
3 years ago
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