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Free_Kalibri [48]
2 years ago
9

Write the equation of the line in y=mx+b that passes through the points (5,10) and (6,12)

Mathematics
1 answer:
Damm [24]2 years ago
5 0

Answer:

y = 2x + 0 or y = 2x

Step-by-step explanation:

use slope-intercept form \frac{y2 - y1}{x2 - x1}

12 - 10 = 2

6 - 5 = 1

m value = 2/1 = 2

y=2x+b

to find b plug one of the points in for x and y

Example: 10 = 2(5) + b

solve equation

10 = 10 + b

subtract 10 from both sides

0 = b

Equation of line equals y=2x+0 or simply just y=2x

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The first term of a sequence is 3 and the common ratio is 3. The sequence is:
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6..........................

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About 3% of the population has a particular genetic mutation. 200 people are randomly selected.
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6

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Identify the independent and dependent variable for the given situation. P = (1.05)t
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Answer:

P = dependant; t = independant

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3 years ago
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What is the sum of the first 30 terms of the arithmetic sequence : -3,0,3,6...84
kkurt [141]

Answer:

1,215

Step-by-step explanation:

we have

-3,0,3,6...84

a_1=-3\\a_2=0\\a_3=3\\a_4=6

a_2-a_1=0-(-3)=3

a_3-a_2=3-0=3

a_4-a_3=6-3=3

so

The common difference d is 3

we know that

The rule to find the sum of the the first n terms of the arithmetic sequence is equal to

S=\frac{n}{2} [2a_1+(n-1)d]

where

d is the common difference

a_1 is the first term

we have

d=3\\a_1=-3\\n=30

substitute in the formula

S=\frac{30}{2} [2(-3)+(30-1)3]

S=15[-6+87]

S=1,215

3 0
3 years ago
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