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2 years ago

In Exercises 17-20, find the value of x so that the function has the given value. 17. f(x) = 8x - 7; f(x) = 17

Mathematics

1 answer:

Nastasia [14]2 years ago

5 0

Answer:

17.) x = 3

18.) x = -5

I couldn't do 19.) and 20.) for you because there are weird symbols that I believe you mistakenly input. But I'm sure you now get the gist of how to solve such problems. Peace <3

Step-by-step explanation:

All you really have to do for all of the problems is substitute your value of "x" for the function.

17.) f(x) = 8x - 7; f(x) =17

17 = 8x -7 ---- substitute 17 for f(x), add 7 on both sides

24 = 8x ------ divide 8 on both sides

x = 3

18.) g(x) = -4x + 7; g(x) = 27

27 = -4x + 7 substitute 27 for g(x), subtract 7 on both sides

20 = -4x

x = -5

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The town of Manchester (population 50,000) has the shape of a rectangle that is 5 miles wide and 7 miles long.

topjm [15]

Answer:

Step-by-step explanation:

Population density is expressed as the ratio of the total number of people, N living in or occupying an area or space to the total area or space. Therefore

Population density = number of people/area

A) The town of Manchester (population 50,000) has the shape of a rectangle that is 5 miles wide and 7 miles long. The area would be

5 × 7 = 35 square miles

Population density = 50000/35

= 1429 people/square mile

B) The business area has radius of 1 mile. Its area would be

πr² = 3.14 × 1² = 3.14 square miles.

The area where people reside outside the business area is

35 - 3.14 = 31.86 square miles

Population density = 50000/31.86

= 1569 people per square mile

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3 years ago

Select the correct answer. 50 points better hurry and brainlyest for the one that answers first

Flauer [41]

Answer:A point U

Step-by-step explanation:

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4 years ago

Read 2 more answers

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$