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Vladimir [108]
3 years ago
13

Select all ordered pairs that could be added to this relationship and keep it a function:

Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

that's 4 and 7 .............

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Let f(x) = xe^-x+ ce^-x, where c is a positive constant. For what positive value of c does f have an absolute
Illusion [34]

Answer:

c=6

Step-by-step explanation:

The absolute maximum of a continuous function f(x) is where f'(x)=0. Therefore, we must differentiate the function and then set x=-5 and f'(x)=0 to determine the value of c:

f(x)=xe^{-x}+ce^{-x}

f'(x)=-xe^{-x}+e^{-x}-ce^{-x}

0=-(-5)e^{-(-5)}+e^{-(-5)}-ce^{-(-5)}

0=5e^{5}+e^{5}-ce^{5}

0=e^5(5+1-c)

0=6-c

c=6

Therefore, when c=6, the absolute maximum of the function is x=-5.

I've attached a graph to help you visually see this.

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3 years ago
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3 0
3 years ago
The ratio of Country albums to Jazz albums in a music collection is 2:3. If the music collection has 45 albums, how many Country
Marina86 [1]
2:3. 2+3=5. So 45 divided by 5 equals 9

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4 0
3 years ago
Factoring using GCF 15cd + 30c^2d^2
olchik [2.2K]

Answer:

15cd(1 + 2cd)

Step-by-step explanation:

greatest common factor is 15cd

15cd*1 + 15cd*2cd\\= 15cd(1 + 2cd)

8 0
2 years ago
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