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finlep [7]
3 years ago
10

Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years. Enter an inequality that can be used

to represent this situation in the first box, where x represents Juanita's cousin's age.
Mathematics
1 answer:
Bond [772]3 years ago
6 0
Please see below solution:

y = x + 13<span>
y + x ≥ 103
x + 13 + x ≥ 103
Inequality is:
2 x + 13 ≥ 103
2 x ≥ 103 - 13
2 x ≥ 90
x ≥ 90 : 2
x ≥ 45
<span>The youngest age Juanita`s cousin can be is 45.</span></span>

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Write a model for the statement V varies jointly as h and the fifth power of r. Group of answer choices LaTeX: V=khr^5 V = k h r
hjlf

Answer:

Option A)

V = khr^5

Step-by-step explanation:

We are given the following in the question:

V varies jointly as h and the fifth power of r.

V\propto h\\V\propto r^5

Combing the two equations, we get,

V\propto hr^5

Now, removing the sign of proportionality and adding the constant of proportionality, we get,

V = khr^5

where k is the constant of proportionality.

Thus, the correct answer is

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loris [4]
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the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

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-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

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another example; set y=0

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thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

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