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3 years ago

Solve -9m-4+2m = -9-7m+5, and interpret the results.

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer:

-9m - 4 + 2m = -9 - 7m + 5

-7m - 4 = -7m - 4

-7m + 7m = -4 + 4

0 = 0

This is an identity solution because the same number equals the same number. That means there's an infinite set of solutions.

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3 years ago

Use the fundamental counting principle to determine the how many different outfits can be made from 4 pairs of jeans and 7 shirt

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3 years ago

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marta [7]

Answer:

C. y= 6x-5

Step-by-step explanation:

Given Information :

Slope (m) = 6

y-intercept (b) = -5

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3 years ago

When a number is a multiple of 6, what are the possible values for the ones digits?

Liula [17]

I would do this by first listing the multiples of 6 until I start to see a pattern with the one's digit.
6x0=0
6x1=6
6x2=12
6x3=18
6x4=24
6x5=30
6x6=36
6x7=42
6x8=48
...
The digits in bold are the one's digits so those are the only ones we really care about. If you list just them it looks like: 0,6,2,8,4,0,6,2,8
Notice how the first set of 5 numbers seems as though it repeats in the 6th, 7th, and 8th numbers. This probably means the pattern continues infinitely so the first 5 numbers are all the one's digits that can come from multiples of 6. Thus your answer is: 0,6,2,8,or 4

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3 years ago

The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

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3 years ago