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Andrew [12]
3 years ago
13

A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?​

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

<h2>           y = 2x - 8</h2>

Step-by-step explanation:

The slope:     m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2

y = mx + b    ←  slope intercept form

(8, 8)   ⇒   x = 8,  y = 8

so:

8 = 2·8 + b

b = - 8

The equation: y = 2x - 8

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What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Alex

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

  • Subtract 14 from both sides

Goal:

  • To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

\boxed{\boxed{\bold{x=49}}}

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

\rule{200}{2}

7 0
2 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!
blagie [28]

Answer:

so

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3 0
3 years ago
According to a survey, 78% of residents in Summerville own a home. If 30 residents
rosijanka [135]

Answer:

0.1732 = 17.32% probability exactly 24 residents own a home.

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they own a home, or they do not. The probability of a resident owning a home is independent of any other resident. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

78% of residents in Summerville own a home.

This means that p = 0.78

30 residents are randomly selected:

This means that n = 30

Find the probability exactly 24 residents own a home.

This is P(X = 24).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 24) = C_{30,24}.(0.78)^{24}.(0.22)^{6} = 0.1732

0.1732 = 17.32% probability exactly 24 residents own a home.

3 0
3 years ago
A city has 5 cm of snow on the ground before a snow storm. During the storm, the amount of snow on the ground increases by 2 cm
Lorico [155]
Answer: D
Explain: The one described was B, but the one that changes LESS is D
5 0
3 years ago
What is 42% of 75?<br> A. <br> 315<br> B. <br> 105<br> C. <br> 31.5<br> D. <br> 10.5
iragen [17]

Answer:

31.5

Step-by-step explanation:

42% of 75 is 31.5. The working is as follows :

<em>42</em><em> </em><em>÷</em><em> </em><em>100</em><em> </em><em>×</em><em> </em><em>75</em><em> </em><em>=</em><em> </em><em>31</em><em>.</em><em>5</em>

<em>You</em><em> </em><em>can</em><em> </em><em>also</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>picture</em><em> </em><em>^</em><em>^</em>

7 0
3 years ago
Read 2 more answers
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