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3 years ago

Solve each inequality. 1. 5x + 2 <17

Mathematics

1 answer:

butalik [34]3 years ago

8 0

Answer:

x<3

Step-by-step explanation:

5x+2<17

Subtract 2 from both sides.

5x<17−2

Subtract 2 from 17 to get 15.

5x<15

Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.

x=15/5

Divide 15 by 5 to get 3.

x<3

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4 years ago

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4 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

jonny [76]

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

$y = -x^2 + 72x -458$

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

$y = ax^2 + bx + c$

The vertex ( turning point ) or maximum/minimum point is given as:

$x = -\frac{b}{2a} \\\\x = -\frac{72}{-2} = 36$

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

$y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838$

The maximum profit would be y = $838

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3 years ago