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podryga [215]
3 years ago
5

The mean of a particular set of 7 numbers is 4. Six of the numbers in the set are known: 1,2,2,5,7,and 8.

Mathematics
1 answer:
Setler [38]3 years ago
8 0
\dfrac{1+2+2+5+7+8+x}{7}=4\\
\dfrac{25+x}{7}=4\\
25+x=28\\
\boxed{x=3}

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A 5.ft tall man casts a shadow along the ground that is 8 ft. long. At the same time a giraffe casts a shadow that is 12 ft. lon
forsale [732]

Answer :  7.5 ft

Step-by-step explanation:

when the length of the shadow is 8ft, the actual height of the man = 5ft

8:5

let the giraffe be 'x' ft tall.

if the length of the shadow is 12ft, actual height = x ft

12:x

8:5 x 12:x

\frac{8}{5} × \frac{12}{x}

x= \frac{15}{2}

x=7.5 ft

Therefore, the giraffe is 7.5ft tall.

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1 year ago
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Which of the following pairs of equations are perpendicular
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Answer:

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2 years ago
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6 0
3 years ago
Find the point of intersection for the two functions through substitution. Show
Alex777 [14]
<h3>Answer:  (-1, 11)</h3>

This means x = -1 and y = 11 pair up together.

================================================

Work Shown:

Set the two functions equal to one another. Solve for x.

f(x) = g(x)

-4x+7 = 2x+13

7 = 2x+13+4x ... adding 4x to both sides

7 = 6x+13

7-13 = 6x .... subtract 13 from both sides

-6 = 6x

6x = -6

x = -6/6 ... divide both sides by 6

x = -1

Use this x value in either function

f(x) = -4x+7

f(-1) = -4(-1)+7

f(-1) = 11

or

g(x) = 2x+13

g(-1) = 2(-1)+13

g(-1) = 11

Whichever function you pick, the input x = -1 leads to the output y = 11.

The point of intersection is (x,y) = (-1, 11)

Visual confirmation is shown below.

4 0
2 years ago
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