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puteri [66]
3 years ago
8

Write the slope-intercept form of the equation of the line through the given point with the given slope. through: (-2, 4), slope

=1/2
please explain and show work.
Mathematics
1 answer:
ddd [48]3 years ago
3 0

Answer:

y= ½x +5

Step-by-step explanation:

<u>Slope- </u><u>intercept </u><u>form</u><u>:</u>

y= mx +c, where m is the slope and c is the y- intercept

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.

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Step-by-step explanation:

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1.
Evgen [1.6K]

Answer:

Null hypothesis H_0; \mu=5

Alternative hypothesis H_a; \mu\neq 5

Step-by-step explanation:

Consider the provided information.

The shower by an adult is 5 minutes.

The mean amount of time that college students spend in the shower is significantly different from 5 minutes. In a sample of 15 students, he found the average time was 4.29 minutes and the standard deviation was 0.75 minutes.

We need to determine the appropriate null and alternative hypotheses.

A null hypothesis is there is no statistical significance between the two variables.

An alternative hypothesis is there is a statistically significant relationship between two variables.

Therefore the required null and alternative hypothesis are:

Null hypothesis H_0; \mu=5

Alternative hypothesis H_a; \mu\neq 5

3 0
3 years ago
How many square meters of brick pavements must be laid out for a 4 meter wide walk around a circular flower bed 22 meters wide i
Ronch [10]

Answer:

603.2 meters

Step-by-step explanation:

circle - the outside of the walk in this case. This circle has a

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You subtract the area of the inner circle from that of the larger circle.

4 0
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Stephanie ran four laps around the school track in 7min and 30 sec how many sec per lap is that
tester [92]
Since each min is 60 seconds you multiply 60 by the number of minutes which is 7 and you get 420:

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3 0
3 years ago
Which of the following explains why f(x) = log2x
Radda [10]

Answer:

  • There is no power of 2 that is equal to 0.
  • Its inverse does not have any x-intercepts.

Step-by-step explanation:

Given the function

\:\:f\left(x\right)=\log \:_2\left(x\right)

This function can be written as:

y=\log _2\left(x\right)

As the rule tells s that

\:y=log_ax\Rightarrow \:a^y=x

so

x=2^y\:\:

As we know that the value of x=0 at y-intercept.

0=2^y\:\:

For any value of y, this statement is false as there is no power of 2 that is equal to 0.

Also

Lets interchange x and y in the equation x=2^y\:\:  to find the inverse of the function.

y=2^x\:\:

So, it doesn't have any x-intercepts as for any value of x, the value of y can not be zero for this function.

Therefore, Its inverse does not have any x-intercepts.

3 0
3 years ago
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