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3 years ago

7

Find the slope from the two points given: (2, 1) and (3,-10)

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

-11

Step-by-step explanation:

let (2,1)be x1 and y1 respectively

(3,-10) be x2 and y2 respectively

From,slope= (y2-y1)/(x2-x1)

=(-10-1)/(3-2)

= -11/1

= -11

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What is the domain of ƒ(x) if ƒ(x) = 1 x – 4?

Alina [70]

The domain would negative infinity to positive infinity . Domain would be the smallest through the largest possibly value of X. If you also need the range it’s ( -4,infinity]

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3 years ago

What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?

svlad2 [7]

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

= 11 -0

=11

Let n=2

a2 = 11-3(2-1)

= 11 -3(1)

= 8

Let n=3

a3 = 11-3(3-1)

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3 years ago

How much smaller is the sum of the first 1000 natural numbers than the sum of the first 1001 natural numbers?

aleksandr82 [10.1K]

ANSWER

1001

EXPLANATION

The sum of the first n - natural numbers is

$S_n= \frac{n}{2} (2a + d(n - 1))$

The sum of the first 1000 terms is

$S_{1000}= \frac{1000}{2} (2(1) + 1(1000 - 1))$

$S_{1000}=500 (1001)$

$S_{1000}=500500$

The sum of the first 1001 terms is

$S_{1001}= \frac{1001}{2} (2(1) + 1(1001 - 1))$

$S_{1001}= 1001 \times (501)$

$= 501501$

The difference is

$501501 - 500500= 1001$

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3 years ago

Read 2 more answers

There are 1800 gym members in total, 3/4 are aged 25-59, 1/5 are over 60 and the remainder are under 25, how many members are un

siniylev [52]

If $x$ is the number of members under 25, then we have

$1800=\dfrac34\cdot1800+\dfrac15\cdot1800+x\implies x=90$

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3 years ago

What is the inverse of the function

sleet_krkn [62]

Answer:

$x^2-10x+31$

Step-by-step explanation:

$y=\sqrt{x-6}+5$

$x=\sqrt{y-6}+5$

$\sqrt{y-6}+5=x$

$\sqrt{y-6}+5-5=x-5$

$\sqrt{y-6}=x-5$

$\left(\sqrt{y-6}\right)^2=\left(x-5\right)^2$

$\left(\sqrt{y-6}\right)^2$

$=\left(\left(y-6\right)^{\frac{1}{2}}\right)^2$

$=y-6$

$\left(x-5\right)^2$

$=x^2-10x+25$

$y-6=x^2-10x+25$

$y-6+6=x^2-10x+25+6$

$y=x^2-10x+31$

6 0

3 years ago