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drek231 [11]
2 years ago
5

What is the final answer?

Mathematics
1 answer:
MakcuM [25]2 years ago
3 0
<h3>Answer:  42</h3>

Explanation:

We have y = -0.9x^2 + 76x - 250 which is in the form y = ax^2+bx+c

where,

  • a = -0.9
  • b = 76
  • c = -250

The vertex (h,k) is when the profit is maxed out.

h = -b/(2a)

h = -76/(2(-0.9))

h = 42.222 approximately

Let's plug in x values around x = 42

Try x = 41

y = -0.9x^2 + 76x - 250

y = -0.9(41)^2 + 76(41) - 250

y = 1353.10

Now try x = 42

y = -0.9x^2 + 76x - 250

y = -0.9(42)^2 + 76(42) - 250

y = 1354.4

Now try x = 43

y = -0.9x^2 + 76x - 250

y = -0.9(43)^2 + 76(43) - 250

y = 1353.9

We see that the largest profit happens when x = 42.

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1. (2,3)

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Step-by-step explanation:

Solve using substitution or elimination.

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What is the slope of the line y=1/8x-1
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If (x + yi) + (4(x + yi) + 6i) = 10, what is x + yi?
Verizon [17]

Answer: (10 - 6i)/5

(x + yi) + (4(x + yi) + 6i) = 10

⇔ 5(x + yi) + 6i = 10

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Step-by-step explanation:

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Read 2 more answers
4x - 2y = -20<br> 7x + 2y = -2
Brut [27]

Answer:

(-2, 6)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define systems</u>

4x - 2y = -20

7x + 2y = -2

<u>Step 2: Rewrite systems</u>

4x - 2y = -20

  1. Add 2y to both sides:                    4x = 2y - 20
  2. Divide 4 on both sides:                 x = 1/2y - 5

<u>Step 3: Redefine systems</u>

x = 1/2y - 5

7x + 2y = -2

<u>Step 4: Solve for </u><em><u>y</u></em>

<em>Substitution</em>

  1. Substitute in <em>x</em>:                         7(1/2y - 5) + 2y = =-2
  2. Distribute 7:                              7/2y - 35 + 2y = -2
  3. Combine like terms:                11/2y - 35 = -2
  4. Add 35 to both sides:              11/2y = 33
  5. Isolate <em>y</em>:                                   y = 6

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Define original equation:                    7x + 2y = -2
  2. Substitute in <em>y</em>:                                     7x + 2(6) = -2
  3. Multiply:                                                7x + 12 = -2
  4. Subtract 12 on both sides:                   7x = -14
  5. Divide 7 on both sides:                        x = -2

<u>Step 6: Graph systems</u>

<em>Check the system.</em>

8 0
3 years ago
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