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3 years ago

Simplify the expression: -3(m + 6) –5m + 9(2m –16)

Mathematics

1 answer:

slava [35]3 years ago

6 0

Answer:10m-162 simplifying the expression

Step-by-step explanation:

First you remove the parenthesis, and you collect all the terms to give u and answer.

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40 points, please help with all of them

Kitty [74]

Answer:

$\large\boxed{Q1.\ \text{2 times greater}}\\\\\boxed{Q2.\ J. 3}\\\\\boxed{Q3.\ B. -\dfrac{4}{5}}$

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:

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

Q1.

We have the equation of a line p in the standard form

$4x-3y=7$

Convert to the slope-intercept form:

$4x-3y=7$ subtract 3x from both sides

$-3y=-4x+7$ divide both sides by (-3)

$y=\dfrac{4}{3}x-\dfrac{7}{3}$

The slope $m_1=\dfrac{4}{3}$

From the table we have the points (4, 3) and (7, 5). Calculate the slope of line q:

$m_2=\dfrac{5-3}{7-4}=\dfrac{2}{3}$

Divide the slope of p by the slope of q:

$\dfrac{4}{3}:\dfrac{2}{3}=\dfrac{4}{3}\cdot\dfrac{3}{2}=2$

Q2.

Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

$y=3x+2\to m=3$

Q3.

Parallel line have the same slope.

Calculate the slope from given points (-11, 5) and (-6, 1):

$y=\dfrac{1-5}{-6-(-11)}=\dfrac{-4}{-6+11}=\dfrac{-4}{5}=-\dfrac{4}{5}$

6 0

3 years ago

Select each pair of functions that are inverses of each other

svlad2 [7]

Answer:

The first two choices only: A and B.

Step-by-step explanation:

The inverses are the ones with one relation having point (x,y) and the other relation having point (y,x). This most obvious when looking at points on a table or a list of points.

So the first pair are inverses because per point (x,y) on the first list you have (y,x) on the second list.

Examples:

1st list contains (-5,-9) while second list contains (-9,-5).

1st list contains (3,7) while the second list contains (7,3).

As long as (a,b) is in the first list and (b,a) is in the second or vice versa, then the pair of relations are inverses. So the first choice contains inverses.

Now lets talk about the pair of functions given in function notation.

Let's start with the first.

y=x+7

Extend the first idea more. Just swap x and y and then see after solving for y if what it equals is what g equals then f and g are inverses in the second choice.

x=y+7

Subtract 7 on both sides:

x-7=y

y=x-7

This is what g equals so the second choice is an answer.

The last choice does not contain a pair of inverses. Example: (2,3) is in the first list but (3,2) is not in the second.

6 0

3 years ago

Read 2 more answers

Law of reflection. Easy question please help (picture included)

PIT_PIT [208]

Simple. The Law of Reflection states that the angle of incidence is equal to the angle of reflection. These two angles are measured relative the normal line (line perpendicular to the surface). The angle of reflection is therefore 34 degrees also. However, since the question is asking for the angle relative to the mirror, then the answer is 90-54 = 36° Thus your answer is C. 36°

6 0

4 years ago

the probability of a number cube landing on 4 is 1/6 if a number cube is tossed 12 times how many times can it be expected to la

oksano4ka [1.4K]

The answer is twice, because 1/6 of 12 is 2

7 0

3 years ago

Find the greatest common factor of 13x2 and 14x3

mamaluj [8]

Answer:

Step-by-step explanation:

13x2=26

14x3=42

Greatest common Factor of 26 and 42 is 2

8 0

3 years ago