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Alja [10]
1 year ago
5

You can work a total of no more than 40 hours each week at your two jobs. Housecleaning pays $8 per hour and your sales job pays

$119 per hour. You need to earn at least $323 each week to pay your bills. Write a system of inequalities that shows the various numbers of hours you can work at each job.
A) h+ s ≥ 40 and 8h + 11s ≥ 323


B) h+ s < 40 and 8h + 11s ≤ 323


C) h + s ≤ 40 and 8h + 11s ≥ 323


D) h + s ≤ 40 and 8h + 11s < 323
Mathematics
1 answer:
tangare [24]1 year ago
8 0

Answer:

C

Step-by-step explanation:

you can only work 40 or less hours per week but you must earn greater then or equal to $323.

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The answer is 18. the equation is (15 x 2) - 12. hope I helped :)
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3 years ago
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Determine whether the given function has a maximum or a minimum value. Then, find the maximum or minimum value of the function.
Serga [27]

Answer:

The function has a minimum value

The minimum value of the function is -4

Step-by-step explanation:

* Lets explain some facts about the quadratic function

- The general form of the quadratic function is f(x) = ax² + bx + c

  where a , b , c are constant

- The quadratic function represented graphically by a parabola

- The parabola is open upward if a is a positive number

- The parabola is open downward if a is a negative number

- If the parabola open upward its vertex point is minimum point and

 the minimum value of the function is the y-coordinate of the

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- If the parabola open downward its vertex point is maximum point

 and the maximum value of the function is the y-coordinate of the

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- The x-coordinate of the vertex point is (-b/2a)

- The y-coordinates of the vertex point is f(-b/2a)

* Lets solve the problem

∵ f(x) = x² - 6x + 5

∵ f(x) = ax² + bx + c

∴ a = 1 , b = -6 , c = 5

∵ a is a positive value

∴ The function has minimum point

* The function has a minimum value

∵ the minimum value is the y-coordinate of the vertex point

- Lets find the vertex point

∵ The x-coordinate of the vertex point = -b/2a

∴ The x-coordinate of the vertex point = -(-6)/2(1) = 6/2 = 3

- To find the y-coordinate of the vertex point substitute x in the

  function by the x-coordinate of the vertex point

∵ The y-coordinate of the vertex point = f(3)

∴ The y-coordinate of the vertex point = (3)² - 6(3) + 5

∴ The y-coordinate of the vertex point = 9 - 18 + 5 = -4

∴ The minimum value of the function = -4

* The minimum value of the function is -4

8 0
3 years ago
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Natalija [7]

Answer: positive

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5 0
3 years ago
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2. Solve each given equation and show your work. Tell whether each equation has one solution, an infinite number of solutions, o
Ugo [173]
Alright,

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x=x ---- divide by the coefficiant

Alright! Hope this helps! ;)
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