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4 years ago

Simplify the expression 10+(2+y)

Mathematics

1 answer:

Katarina [22]4 years ago

7 0

Answer:

y + 12

Step-by-step explanation:

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Can someone double check my answers on this integers sheet? (53 points)

MatroZZZ [7]

1) -28
2) +36
3) +14114
4)-129
5) - 8
(they are all correct up to this point)

Yes, 1--5 in sentences are all right

hope this helps

4 0

3 years ago

How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t

Zarrin [17]

By first principles, the derivative is

$\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h$

Use the binomial theorem to expand the numerator:

$(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n$

$(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

The first term is eliminated, and the limit is

$\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h$

A power of $h$ in every term of the numerator cancels with $h$ in the denominator:

$\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)$

Finally, each term containing $h$ approaches 0 as $h\to0$ , and the derivative is

$y=x^n\implies y'=nx^{n-1}$

4 0

4 years ago

What does m represent in the equation y=mx+b? Please I need help with this

artcher [175]

Slope

Step-by-step explanation:

y=mx+b

y=slope+ y-intercept

8 0

3 years ago

Consider the parabola whose equation is y=x^2-4x and the line whose equation is y=2x+b, where b is some unknown constant

Vikki [24]

Answer:

Step-by-step explanation:

Is there a question somewhere in there?

6 0

3 years ago

Write the equation in standard form for the circle that has a diameter with endpoints (- 1, 12) and (- 1, 8)

matrenka [14]

Answer:

The equation in standard form is $(x + 1)^{2} + (y - 10)^{2} = 4$

Step-by-step explanation:

The distance from (-1, 12) to (-1, 8) = 4 = diameter of the circle. So, 2 = radius

The center of the circle is at (-1, 10)

The equation in standard form is $(x + 1)^{2} + (y - 10)^{2} = 4$

3 0

3 years ago