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Aleonysh [2.5K]
3 years ago
10

Find the equation of the line whose x-intercept is 8 and y-intercept is -2. write the equation in slope-intercept form.

Mathematics
1 answer:
m_a_m_a [10]3 years ago
8 0
Two points on this line are (8,0) and (0,-2).  The slope is thus

         0-(-2)
m = ---------- = 1/4
         8-0

The equation of the line is then y-0 = (1/4)(x-8), or y = (1/4)X - 2 (in slope-intercept form).
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Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $
Natasha_Volkova [10]

Answer: A) movies for less cost $5 more

Step-by-step explanation:

10 × 3 =30

15 × 2= 30+10=40 movie plus

15 × 3= 45 movies for less

8 0
3 years ago
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What is the value of sinθ given that (5, −12) is a point on the terminal side of θ ?
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X = 5 and y = -12  is in the fourth quadrant. Hypotenuse =  13

sin theta  =   opposite / hypotenuse = -12 /13
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The table shows the time a patient spends at the dentist and the amount of the bill. A 2-column table with 4 rows. The first col
Vinvika [58]

The correlation coefficient for the data in the table was found to be 0.93.

The correct option is A.

<h3>What is the correlation coefficient?</h3>

The correlation coefficient focuses on the linear relationship between two variables.

Given

The first column is labeled time spent at the dentist (in hours) with entries 1.4, 2.7, 0.75, 1.6.

The second column is labeled bill amount (in dollars) with entries 235, 867, 156, 215.

The numbers between -1 and 1 should be one of the values related to the bill.

Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.

Hence, The correlation coefficient for the data in the table was found to be 0.93.

To know more about correlation coefficient click the link given below.

brainly.com/question/26197675

3 0
2 years ago
5x + 2 = 7 <br> X = ?<br> Can you please help me with this
daser333 [38]

Answer:

x=1

Step-by-step explanation:

Move the constant to the right side of the equation and change its sign to the opposite. the constant in this equation is +2. the new equation looks like this: 5x=7-2. After subtracting on the right (7-2) the new equation should be 5x=5. divide both sides of the equation by 5. the answer is x=1

8 0
2 years ago
[25 POINTS] The approximate change in the value of f(x) = sqrt(2(x-1)) at x = 3 using differentials with dx = 0.01 is
otez555 [7]

Answer:

\frac{1}{200}

Step-by-step explanation:

<u>Find the derivative of the function when x=3</u>

<u />y=\sqrt{2(x-1)}

\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}

\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}

\frac{dy}{dx}=\frac{1}{\sqrt{4}}

\frac{dy}{dx}=\frac{1}{2}

Since the change in the value of the function is dy and we know that the change in x is dx=0.01, then we have:

\frac{dy}{dx}=\frac{1}{2}

dy=\frac{1}{2}dx

dy=\frac{1}{2}(0.01)

dy=\frac{1}{200}

Therefore, the 2nd option is correct

<u />

8 0
2 years ago
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