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3 years ago

Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.

1 answer:

8 0

Call (F) the age of the father and (J) the age of Julio

The F & J are related in this way: F=4J

Now you have a restriction in the form of inequality: The sum of both ages has to be greater or equal than 55.

Algebraically that is: F + J ≥ 55

You can substitute F with 4J to find the solution for J:

4J + J ≥ 55

5J ≥ 55

Now divide both sides by 5

5J/5 ≥ 55/5

J ≥ 11

That Imposes a lower boundary for the value of J of 11, meaning that the youngest age of Julio can be 11

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Below.

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What value of k will make this expression equal to 0? <br><br> b • 3.8 • 2.72 • (k – 4)

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3 years ago

Read 2 more answers

More help is appreciated:))

Lera25 [3.4K]

Step-by-step explanation:

You need to translate all the points to the right 3 and up 6

Therefore, you are going to use this formula:

(x,y) ⇾ (x + 3, y + 6)

This is the same format as the previous problem, if you have noticed.

Using this, plug in each coordinate, starting with P (5, -1)

(5, -1) ⇾ ( 5 + 3, -1 + 6)

(5, -1) ⇾ ( 8, 5 )

P $^{1}$ = (8, 5)

Now point Q, (0, 8)

(0, 8) ⇾ (0 + 3, 8 + 6)

(0, 8) ⇾ ( 3, 14 )

Q $^{1}$ = (3, 14)

And last but not least, the point R, (7, 5)

(7, 5) ⇾ (7 + 3, 5 + 6)

(7, 5) ⇾ ( 10, 11 )

R $^{1}$ = (10, 11)

Therefore, P $^{1}$ = (8, 5), Q $^{1}$ = (3, 14), R $^{1}$ = (10, 11) is your answer. This is the 4th option or D.

Hope this for you to understand this a bit more! =D

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3 years ago