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Flura [38]
3 years ago
14

What is the solution of the system when just looking at the equations? No Graph!

Mathematics
1 answer:
Kaylis [27]3 years ago
6 0

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

y = 5x + 2 and y = 5x – 8

m = 5                 m = 5

b = 2                  b = -8

When comparing equations:

1. Put in <u>slope-intercept</u> form.

2. Compare the <u>slopes and the y-intercepts</u>!

This system has <u>no solution.</u>

Because we have the same slopes and different y-intercepts.

If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.

If the slopes are different, then that system has one solution.

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What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60
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Answer:

The 32nd term of Arithmetic sequence is -174

Step-by-step explanation:

Given: a_1=12, a_{13}=-60

We are given two term of the Arithmetic sequence.

Formula:

a_n=a+(n-1)d

For  a_1=12

a=12

For a_{13}=-60

a+12d=-60

Using two equation solve for a and d

12+12d=-60

1+d=-5

d=-6

We need to find 32nd term

a_{32}=a+31d

a_{32}=12+31(-6)

a_{32}=12-186

a_{32}=-174

Hence, The 32nd term of Arithmetic sequence is -174

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Step-by-step explanation:

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Determine the next three terms in the following sequence:<br><br> -1, 1/2, -1/4, 1/8,__,__,__,….
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