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3 years ago

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507

Mathematics

1 answer:

Artemon [7]3 years ago

7 0

Step-by-step explanation:

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Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

Whoever gets it right gets brainlyess answer and it's worth 10 points

defon

There are 8 yellow and 24 blue. Our ratio from yellow to blue is 8:24.
To simplify this, we need to see if we can divide 8 and 24 by a common factor.
8 and 24 can be divided by 8, so let's do that.
8/8 = 1.
24/8 = 3.
Your new and simplified ratio is 1:3 from yellow to blue, but we're looking for blue to yellow. Flip the ratio.
3:1 is your ratio.
C.) is your correct answer.
I hope this helps!

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3 years ago

Read 2 more answers

PLS HELP ASAP!!!!!

zmey [24]

B. (7,-2) is the answer

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Jay can buy a scooter either online or at a local store. If he buys online, he gets a 15% discount, but has to pay a $12 shippin

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Answer:just search this up

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3 years ago

Which transformation was applied to figure A to form figure B

Serga [27]

Answer:

The correct answer is A.

Hope this helped!

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3 years ago

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507​

How many terms are to be considered in the series with first term - 3 and common ratio r = -4 for the sum to exceed 1507