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kolezko [41]
3 years ago
13

Does this graph show a function? Explain how you know.

Mathematics
1 answer:
Sav [38]3 years ago
4 0
A. It passes the vertical line test
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George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

z ≥ 11

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Viktor [21]

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Step-by-step explanation:

4 0
3 years ago
A jar contains n nickels and d dimes. There are 28 coins in the jar,and total value of the coins is $2.20. How many nickels and
Harman [31]
N + d = 20 (there are a total of 20 nickels and dimes).05n + .1d = 1.4 (total change equals $1.40)
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A line passes through the points (-1,-1) and (5,8) which points lie on the same line?
djverab [1.8K]

Answer: all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2}

Step-by-step explanation:

The slope of the line is

\frac{-1-8}{-1-5}=\frac{-9}{-6}=\frac{3}{2}

So, substituting into point-slope form, the equation is

y+1=\frac{3}{2}(x+1)\\\\y+1=\frac{3}{2}x+\frac{3}{2}\\\\y=\frac{3}{2}x+\frac{1}{2}

Therefore, all points (x,y) that satisfy y=\frac{3}{2}x+\frac{1}{2} will lie on the same line.

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2 years ago
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