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tatuchka [14]
3 years ago
10

Find an equation of the line that has the given slope and contains the given point. m=7/3 (1,6)

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0

The point-slope form:

y-y_1=m(x-x_1)

We have the point (1, 6) and the slope m = 7/3. Substitute:

y-6=\dfrac{7}{3}(x-1)      <em>use distributive property</em>

y-6=\dfrac{7}{3}x-\dfrac{7}{3}          <em>add 6 to both sides</em>

y=\dfrac{7}{3}x+\dfrac{11}{3}        <em>multiply both sides by 3</em>

3y=7x+11           <em>subtract 7x from both sides</em>

-7x+3y=11         <em>change the signs</em>

7x-3y=-11

Answer:

point-slope form: y-6=\dfrac{7}{3}(x-1)

slope-intercept form: y=\dfrac{7}{3}x+\dfrac{11}{3}

standard form: 7x-3y=-11

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State whether the data described below are discrete or continuous, and explain why. The amounts of time that different surgical
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Using variable concepts, it is found that the amounts of time that different surgical procedures take at hospital is continuous.

<h3>What are continuous and discrete variables?</h3>
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In this problem, the amounts of time that different surgical procedures take at hospital can be decimal, for example 10.5 minutes, hence it is a continuous variable.

You can learn more about continuous and discrete variables at brainly.com/question/16978770

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The amount of money, in dollars, in a savings account after x years is given by M(x) = 10,000(1.03)x. What does the value 1.03 r
mr Goodwill [35]

Answer:

Option B) There is a 3 percent increase in the savings account each year.

Step-by-step explanation:

we have

M(x)=10,000(1.03^x)

This is a exponential function of the form

y=a(b^x)

where

M(x) represent the amount of money in a saving account

x represent the number of years

a is the original deposit (y-intercept)

b is the base

r is the rate or percent increase

b=(1+r)

The percent increase per year is the base of the exponential function decreased by 1.

so

r=b-1

In this problem we have

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7 0
4 years ago
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Edward has $400 more than Robert. After Edward spends $60 on groceries, he has three times more money than Robert. How much mone
igomit [66]

Answer: 170

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3 years ago
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