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3 years ago

If graphed in the plane, would the line y=5x-2 pass through the point (4,15)

Mathematics

1 answer:

yulyashka [42]3 years ago

5 0

Answer:

Step-by-step explanation:

Using substitution, subs in the points given

(15) = 5(4) - 2

15 = 20 - 2

Because the 2 sides are NOT equal the line would not pass through the point

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Identify the domain and range of the function f(x) = x2 - 10x + 21

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3 years ago

A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric

larisa86 [58]

Answer:

525 x 1,050

A = 551,250 m²

Step-by-step explanation:

Let 'L' be the length parallel to the river and 'S' be the length of each of the other two sides.

The length of the three sides is given by:

$2S+L=2,100\\ L=2100-2S$

The area of the rectangular plot is given by:

$A=S*L\\A=S(2100-2S)\\A=2100 S -2S^2$

The value of 'S' for which the area's derivate is zero, yields the maximum total area:

$\frac{dA(S)}{dS}=\frac{d(2100 S -2S^2)}{dS}\\0= 2100 - 4S\\S=525$

Solving for 'L':

$L=2100-(2*525)\\L=1,050$

The largest area enclosed is given by dimension of 525 m x 1,050 and is:

$A = 525*1,025\\A=551,250\ m^2$

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3 years ago

1. Which one of the following statements is true of perpendicular lines?

Dovator [93]

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3 years ago

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Twenty years ago, you began investing $3,000 a year. Because your investments earned an average of 8 percent a year, your invest

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Answer:

$32,000

Step-by-step explanation:

Yearly investment = $3,000

Number of years = 20

Investments earned an average of 8 percent a year.

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Current value of investment = $92,000.

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2 years ago

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Answer:

option D is the correct answer

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