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Oduvanchick [21]
1 year ago
7

phillip has a part-time job and saves $5 of his hourly pay for the purchase of a new laptop that costs $735. he has saved $90 al

ready. which inequality represents the number of hours, x, phillip must work to buy the laptop?
Mathematics
1 answer:
UNO [17]1 year ago
3 0

The inequality that represents the number of hours Philip must work to buy the laptop is 5x + 90 ≥ 735

Inequality is a term used in mathematics that can be described as the relation which makes an unequal comparison between two mathematical expressions.

As he saves $5 of his hourly pay, considering x to be the number of hours the inequality for this case can be given as;

5x + 90 ≥ 735

The '≥' sign indicates that this amount should be equal to or greater than 735 so that he can purchase the laptop.

Solving for x;

5x ≥ 735 - 90

5x ≥ 645

x ≥ 645 / 5

x ≥ 129

Therefore he has to work for at least 129 hours to purchase the laptop.

To learn more about inequality; click here:

brainly.com/question/24372553

#SPJ4

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We need to determine the solution of the given expression.

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Applying the rule, if a^{f(x)}=a^{g(x)} then f(x)=g(x)

Thus, we have;

x^{2}+4 x+4=9 x+18

Subtracting both sides of the equation by 9x, we get;

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Subtracting both sides of the equation by 18, we have;

x^{2}-5 x-14=0

Factoring the equation, we get;

x^2-7x+2x-14=0

Grouping the terms, we have;

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Taking out the common term from both the groups, we get;

x(x-7)+2(x-7)=0

Factoring out the common term (x - 7), we get;

(x+2)(x-7)=0

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