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musickatia [10]
3 years ago
15

Find the factors of 42 show and explain your work and list the factor pairs in a table

Mathematics
2 answers:
olasank [31]3 years ago
8 0

Answer:

The  factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42. The factor pairs are 1 and 42, 2 and 21, 3 and 14, 6 and 7.

Step-by-step explanation:

The given number is 42.

The numbers that can divide 42 completely, are the factors of 42.

Since we know that 42 is completely divisible by  1, 2, 3, 6, 7, 14, 21 and 42, therefore the factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42.

The list of factor pairs are shown below:

1\times 42=42

2\times 21=42

3\times 14=42

6\times 7=42

Therefore the factors of 42 are 1, 2, 3, 6, 7, 14, 21 and 42. The factor pairs are 1 and 42, 2 and 21, 3 and 14, 6 and 7.

ira [324]3 years ago
7 0
Factors of 42 are...
1, 2, 3, 6, 7, 14, 21, and 42.
1 x 42 = 42
2 x 21 = 42
3 x 14 = 42
6 x 7 = 42

Don't know how you want your table.
I'm sure you can do it yourself.
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so


we have

a) for x=1 y=0.50--------> y/x=0.50/1------> 0.50

b) for x=2 y=1--------> y/x=1/2-------> 0.50

c) for x=3 y=1.50--------> y/x=1.50/3-----> 0.50

d) for x=5 y=2.50--------> y/x=2.50/5----> 0.50

the value of k is equal to 0.50

so

<span>the relationship forms a direct variation. </span>

the equation is

y=0.50*x


Verify

for x=1

y=0.50*(1)------> y=0.50-----> is correct


for x=2

y=0.50*(2)------> y=1.00-----> is correct


for x=3

y=0.50*(3)------> y=1.50-----> is correct


for x=5

y=0.50*(5)------> y=2.50-----> is correct

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)
LenaWriter [7]

Answer:

The slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the points

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  • (3, 4)

Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

m=\frac{4-\left(-2\right)}{3-\left(-1\right)}

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Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

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switch sides

\frac{3}{2}\left(3\right)+b=4

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subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

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Therefore, the slope-intercept form of the line equation  is:

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