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3 years ago

Need help now!!! 20 points!!!

Mathematics

2 answers:

Archy [21]3 years ago

8 0

$- x {}^{2} + x - 1$
The answer would be C

s344n2d4d5 [400]3 years ago

8 0

$- {x}^{2} + x - 1$

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Ghella [55]

B. (x, y) to (1.5x, 2y) because you multiply x by 1.5 to get it to where it is and multiply y by 2

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3 years ago

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The domain of F(x) is the set of all numbers greater then or equal to 0 and less or equal to 2.

lisov135 [29]

The answer should be B false

5 0

3 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

3 years ago

the seventh grade class is raising money to have a class trip at the end of the year they began the year with $1500 now they hav

Novay_Z [31]

Answer:

10%

Step-by-step explanation:

(1650 - 1500) /1500 = 10%

5 0

3 years ago

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. How

hodyreva [135]

Answer: 4

Step-by-step explanation:

For this question, we have to divide the number 8 by 2.

8 ÷ 2 = 4

Now, we have to take the quotient, 4, and multiply it by 1.

1 x 4 = 4

The answer is 4.

6 0

3 years ago