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drek231 [11]
3 years ago
11

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0
A. would be y=4x-14
B. would be y=4x+11
C. would be y=x/4 - 11/4
D. would be y=x/4 + 7/2
Hope this helps! :)
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The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x d
dlinn [17]

Answer:

The profit decreases by $ 375 for every $ 1 increase in the selling price.

Step-by-step explanation:

From the definition of the secant line we get that the average rate of change of P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5, where x is the selling price of the product, measured in dollars per unit, is:

r = \frac{P(55)-P(50)}{55-50} (1)

Now we evaluate the function at each bound:

x = 50

P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5

P(50) = 11

x = 55

P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5

P(55) = 9.125

Then, the average rate of change is:

r = \frac{9.125-11}{55-50}

r = -0.375

Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.

8 0
3 years ago
Using the formula r=d/t where d is the distance in miles, r is the rate and t is the time in hours at which rate must you travel
valentina_108 [34]

r =  \frac{337.5}{4.5}  \\ r = 75
the answer is c-75mph
6 0
3 years ago
Read 2 more answers
What is the range of the given set of ordered pairs?<br> (9,-2) (4,3) ( 8, 10) (-4, 8)
otez555 [7]

Answer:

(-2,3,10,8)

Step-by-step explanation:

eg

(x,y)=(domain,range)

x components are domain and y components are range in the given set of ordered pairs

8 0
3 years ago
900 is 4 1/2% of what?
Svet_ta [14]
Simple, first change the 4.5% into 0.045

Thus,

900=0.045*n

900/0.045=0.045n/0.045

20,000=n

Thus, your answer is 20,000.
3 0
3 years ago
Read 2 more answers
on a map, two cities measure 6.2 cm apart. If the scale of the map is 5 cm per 10 miles, then how many miles apart are the citie
miss Akunina [59]

The cities are 12.2 miles apart

<u>Step-by-step explanation:</u>

The scale of the map is,

5cm = 10 miles

The distance between the 2 cities in map is 6.2 cm

The actual distance between the 2 cities = (6.2 x 10) / 5

= 62/5

= 12.4

The 2 cities are 12.4 miles apart.

8 0
3 years ago
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