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VLD [36.1K]
4 years ago
12

Find the slope of the line that passes through the points (3,2) and (7,5)

Mathematics
1 answer:
tigry1 [53]4 years ago
7 0

Answer:

3/4

Step-by-step explanation:

The slope of the line is found by

m= (y2-y1)/(x2-x1)

  = (5-2)/(7-3)

   = 3/4

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A tool set sells for $150 at a local hardware store. The tool set is on sale for 20% off the retail price, p, given by f(p)=0.80
bogdanovich [222]

Answer:

6 Dollars.

Step-by-step explanation:

A toolset sells for $150 at a local hardware store. The toolset is on sale for 20% off the retail price, p, given by f(p) = 0.80p. Devon is interested in buying the toolset and has a coupon for $30 off the price of the toolset, which can be represented by g(p) = p – 30.

Therefore, the cost of using the coupon followed by the discount,  

f[g(p)] = 0.80(p - 30) = 0.80(150 - 30) = 96 dollars.

And the cost of using the discount followed by the application of the coupon,

g[f(p)] = 0.80p - 30 = 0.80 × 150 - 30 = 90 dollars.

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4 years ago
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Sergeeva-Olga [200]

Answer:

y = (3 / (x-7)) - 5

Step-by-step explanation:

The original equation has the asymptotes at x = 0 and y = 0.

We want to translate to the right by 7 units so that the asymptote is at x = 7 and downwards 5 units so that the asymptote is y = -5.

Now, in the first case, to move it to the right, you must subtract 7 from the independent variable (i.e. x)

And in the second case, to move a function down 5 units, subtract 5 units from the entire function.

Applying the above, the new function would be:

y = (3 / (x-7)) - 5

8 0
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