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Daniel [21]
3 years ago
14

Write the equation of the line in slope-intercept form when given m=-6 and (-1,3)

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0

Step-by-step explanation:

y=mx+b

y=-6x+b

3=-6(-1)+b

b=-3

y=-6x-3

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Check that 2b+b and 3b have the same value when b is 1,2, and 3. Do 2b+b and 3b have the same value for all values of b? Explain
Inessa [10]

Answer:

Expression 2b+b and 3b have same values for all values of b.

Step-by-step explanation:

Given the two expression 2b+b and 3b and values of b as 1, 2 and 3.

Consider first expression that is, 2b+b.

Substituting the value of b=1,

2\left(1\right)+\left(1\right)=2+1=3 ....1

Substituting the value of b=2,

2\left(2\right)+\left(2\right)=4+2=6 ....2

Substituting the value of b=3,

2\left(3\right)+\left(3\right)=6+3=9 ....3

Consider second expression that is, 3b.

Substituting the value of b=1,

3\left(1\right)=3 ....4

Substituting the value of b=2,

3\left(2\right)=6 ....5

Substituting the value of b=3,

3\left(3\right)=9 ....6

For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.

Therefore both expression are same for all values of b.

3 0
3 years ago
2 3/4 divided by 1/2 ?
Vladimir [108]

Answer:

5.5

Step-by-step explanation:

7 0
2 years ago
WILL GIVE BRAINLST <br><br> hAVE AN AMAZING DAY
Zolol [24]

Answer:

1 A= 3 cm

2 C= 37/99

Step-by-step explanation:

Volume is l * w * h

or s³ for cubes

∛27= 3

3/7= 0.43

3/70= 0.04

37/99= 0.3737373737 etc.

37/100= 0.37

8 0
2 years ago
?Eric conducted an experiment in his science class and recorded the data in a table.
Vitek1552 [10]

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

4 0
2 years ago
Many older homes have electrical systems that use fuses rather than circuit breakers. A manufacturer of 40-amp fuses wants to ma
zhenek [66]

Answer:

<u>Alternative hypothesis 1</u>:  the mean amperage at which the fuses burn out is > 40 amperes.

<u>Alternative hypothesis 2</u>:  the mean amperage at which the fuses burn out is < 40 amperes.

Step-by-step explanation:

Recall that the null hypothesis is the fact you want to refute and is in doubt.

So, in this specific case, <em>the null hypothesis would be that the mean amperage at which the fuses burn out is 40 amperes. </em>

The alternative hypothesis are those that want to refute the null hypothesis, in this case there are 2:

<u>Alternative hypothesis 1:</u>  the mean amperage at which the fuses burn out is > 40 amperes.

<u>Alternative hypothesis 2:</u>  the mean amperage at which the fuses burn out is < 40 amperes.

6 0
3 years ago
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