All categories

2 years ago

Simplify the given equation. please don't solve for x! it says SIMPLIFY!

Mathematics

1 answer:

Tpy6a [65]2 years ago

8 0

Answer:

x= 22/15

Step-by-step explanation:

20x-11=5x+11

20x-5x=11+11

15x=22

You might be interested in

HELPPPPPPP PLSSSSSSSSS

Rainbow [258]

Answer:

Step-by-step explanation:

c. j = a + 5

such that 7 = 2 +5

8 0

2 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

2 years ago

If f(x) -V7-3, complete the following statement (round your answer

nikklg [1K]

Answer:

- 1.67

Step-by-step explanation:

f(x) = $\frac{3}{7+2}$ - $\sqrt{7-3}$

= $\frac{3}{9}$ - $\sqrt{4}$

= $\frac{1}{3}$ - 2

= - 1 $\frac{2}{3}$

= -1.6666666

= -1.67

5 0

2 years ago

adult tickets to a play cost $22. tickets for children cost $15. tickets for a group of 11 people cost a total of $228. write an

Tom [10]

Adults = 9

Children = 2

Let x be the number of adults.

11-x is the number of children.

22x + 15(11-x) = 228

22x + 165 - 15x = 228

22x - 15x = 228 - 165

7x = 63

7x / 7 = 63 / 7

x = 9 number of adults.

11 - x = 11 - 9 = 2 number of children.

To check:

22x + 15(11-x) = 228

22(9) + 15(11-9) = 228

198 + 30 = 228

228 = 228

(not my answer btw)

3 0

3 years ago

Read 2 more answers

Joshua and Isabella are having a snowball fight. Joshua has a snowball, shaped as a sphere, with a radius of 6 cm. Isabella also

denis-greek [22]

I think it might be 12

7 0

3 years ago

Read 2 more answers