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3 years ago

Jack is 4 times as old as lacy. 4 years ago the sum of their ages was 22. How old are they now

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

3 0

4 x 22 =?

the question mark is how old they'll be.

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Is this right??? if not helpp

Nonamiya [84]

Yupz u b right cuz 8+9 is ur answer Don’t be so hard on yourself take it easy

7 0

3 years ago

On Thursday, a website received x advertisement orders. On Friday, the website received 8 more advertisement orders than on Thur

gladu [14]

Answer:

2x+8

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Nickel uses 5 ounces of mushrooms 2 ounces of butter and 1/4 pint of cream to make mushroom soup find the ratio of the number of

Zigmanuir [339]

1/4 of a pint is 4 oz. so the ratio ofmushrooms to butter to cream would be 5:2:4.

5 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

3 years ago

Find the determinant of the following matrix. [1 -2] [3 4]

Andrew [12]

Answer:

Step-by-step explanation:

[1 -2]

[3 4]

We can obtain the determinant of the above matrix by doing the following:

Determinant =(1 × 4) – (3 × –2)

Determinant = 4 – – 6

Determinant = 4 + 6

Determinant = 10

Thus, the determinant of the above matrix is 10

8 0

2 years ago