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2 years ago

You earn $30 for washing 5 cars. How much do you earn per car?

Mathematics

2 answers:

kow [346]2 years ago

7 0

Answer:

You get 6 dollars per car

Step-by-step explanation:

I divided 30 by 5

valentina_108 [34]2 years ago

3 0

Answer: $6 per car

Step-by-step explanation:

If it's 30 dollars for 5 cars and we want to know how much it is for 1 car we need to divide both by 5

$\frac{30}{5} =6\\\frac{5}{5} =1$

$6 per one car

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konstantin123 [22]

Answer:

(2,-4)

Step-by-step explanation:

you see (-4,0), then you do the opposite of what it says like it says right 1 unit. then you g left 1 unit. then it says left 3 units. so you go right 3, which results you starting at (2.-4)

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2 years ago

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

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2 years ago

The sum of the first five terms of an arithmetic series is 25, and the first term is 2. Find the constant difference.

aivan3 [116]

Step-by-step explanation:

if you calculate both of you should ask her

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2 years ago

If f(x)=3^x+10x and g(x)=2x-4 find (f-g) (x) (urgent)

notka56 [123]

Answer:

(f - g)(x) = $3^{x}$ + 8x + 4

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= $3^{x}$ + 10x - (2x - 4) ← distribute parenthesis by - 1

= $3^{x}$ + 10x - 2x + 4 ← collect like terms

= $3^{x}$ + 8x + 4

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1 year ago