Mathematics, 19.02.2021 01:00 hernan99961

Im failing math and my mom is about to ground me

Answers: 2

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When you solve a system by graphing, your answer will be any intersects the lines have. If they never intersect, there are no solutions. If they are exactly the same line, there are infinite solutions. And if there’s one intersection, there’s 1 solution.

With that being said, here are the steps to solve the problem:

1) sub in 0 for x for each equation. This will give you the Y intercept.

2) Once you have the y intercept, get the slope. This will allow you to graph the rest of the line and see where they intersect.
The slope will always be the term attached to the X. So, if it was 1/2x, your slope would be 1/2.

3) Interpret the slope. Slope is always rise over run. Going off the previous example, 1/2 would mean you go up one unit (rise) and to the right two units (run). If it’s negative, the same principles apply. Do this in both directions until you have a line.

4) See where they intersect. Make sure to point this out by drawing a dot on the exact location.

Hope this helps! Comment if you have any questions.

Answer from: Quest

geometric series converge the common ratio r has magnitude less than one.

$|r| < 1$

which is equivalent to

$-1 < r < 1$

for the example we need

|2-x| < 1

-1 < 2-x and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1 diverges

1b. r=50/100=1/2 converges

when these converge they converge to

$s = \dfrac{a}{1 -r}$

where a is the first term.

$s = \dfrac{100}{1 - 1/2} = 200$

answer: 200

1c. r=-1 so it's not the case that |r| < 1. diverges

2a. x is the common ratio so we converge when |x|< 1

2b. r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c. r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

$|x| < \frac 1 2 \sqrt[3]{2}$

Answer from: Quest

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17. e. none of the above

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