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3 years ago

Factor the expression completely 25c-5 please hurry

Mathematics

1 answer:

Irina18 [472]3 years ago

3 0

Answer: 5(5c-1)

Step-by-step explanation:

25c-5

Divide the expression by 5

5(5c-1)

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Use a single digit times a power of 10 to express the number 866,214,000,000

BartSMP [9]

Answer:

8.66214 x 10^11

Step-by-step explanation:

question may ask to round, so the answer may be simplified to 9 x 10^11

3 0

4 years ago

Write down the coordinates of the point where the graphs of y = - x + 4 and y = − x + 4y = x − 2 intersect

Dmitry [639]

Answer: x=3, y=2.

Step-by-step explanation:

y = - x + 4

y = x − 2

- x + 4 = x − 2

-x-x=-2-4

-2x=-6

x=(-6):(-2)=3

y=x-2=3-2=1

x=3, y=2.

7 0

3 years ago

I really stuck on trying to prove this

Alisiya [41]

$\displaystyle\sum_{r=1}^nr(r+1)\cdots(r+p-1)$

When $n=1$ ,

$\displaystyle\sum_{r=1}^1r(r+1)\cdots(r+p-1)=1(1+1)(1+2)\cdots(1+p-2)(1+p-1)=p!$

Meanwhile, you have on the right

$\dfrac{(1)(1+1)(1+2)\cdots(1+p-2)(1+p-1)(1+p)}{p+1}=(1)(1+1)(1+2)\cdots(p-1)(p)=p!$

so the equality holds for $n=1$ .

Assume it holds for $n=k$ , i.e. that

$\displaystyle\sum_{r=1}^kr(r+1)\cdots(r+p-1)=\frac{k(k+1)(k+2)\cdots(k+p-1)(k+p)}{p+1}$

Now for $n=k+1$ , you have

$\displaystyle\sum_{r=1}^{k+1}r(r+1)\cdots(r+p-1)=\sum_{r=1}^kr(r+1)\cdots(r+p-1)+(k+1)(k+2)\cdots(k+1+p-1)$
$=\displaystyle\frac{k(k+1)(k+2)\cdots(k+p-1)(k+p)}{p+1}+(k+1)(k+2)\cdots(k+1+p-2)(k+1+p-1)$
$=\displaystyle\frac{k(k+1)(k+2)\cdots(k+p-1)(k+p)}{p+1}+(k+1)(k+2)\cdots(k+p-1)(k+p)$
$=\left(\dfrac k{p+1}+1\right)(k+1)(k+2)\cdots(k+p-1)(k+p)$
$=\dfrac{k+p+1}{p+1}(k+1)(k+2)\cdots(k+p-1)(k+p)$
$=\dfrac{(k+1)(k+2)\cdots(k+p-1)(k+p)(k+p+1)}{p+1}$

as required.

3 0

3 years ago

What are the two answers someone help steps needed

velikii [3]

Answer:

p(4)= 8

p(-9)=-5

Step-by-step explanation:

it is stated in the third point that the remainder of the division is zero

then p(x)/(x+4)=1

p(x)=(x+4)

p(4)=(4+4)

p(-9)=(-9+4)

3 0

3 years ago

What is nine and forty-two hundredths

stepan [7]

Answer:

9.42

Step-by-step explanation:

Breaking the phrase down:

'Nine' would be the number 9 in the ones place.

'And' represents the decimal in a number. ('.')

'Forty-Two Hundredths" is 0.42.

So, "nine and forty-two hundredths" would be 9.42.

Hope this helps.

5 0

3 years ago