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olga55 [171]
2 years ago
6

Find the product: (6x^2+8)(3x^2-5x+7)

Mathematics
2 answers:
Leno4ka [110]2 years ago
8 0

Answer:

18x⁴ - 30x³ + 66x² - 40x + 56

Step-by-step explanation:

1) Distribute

  • (6x² + 8) (3x² - 5x + 7)
  • 6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)

2) Distribute

  • 6(3x² - 5x + 7) x² + 8(3x² - 5x + 7)
  • 18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)

3) Distribute

  • 18x⁴ - 30x³ + 42x² + 8(3x² - 5x + 7)
  • 18x⁴ - 30x³ + 42x² + 24x² - 40x + 56

4) Combine like terms

  • 18x⁴ - 30x³ + 42x² + 24x² - 40x + 56
  • 18x⁴ - 30x³ + 66x² - 40x + 56
<h3>Vocabulary:</h3>

Expression

  • <em>A mathematical symbol, or combination of symbols, representing a value, or relation.</em>

Example: 2 + 2 = 4

Combination

  • <em>A selection in which order has no importance</em>
Afina-wow [57]2 years ago
8 0

Answer:

The product would be 18x^4 - 30x^3 + 66x^2 - 40x + 56

Step-by-step explanation:

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KIM [24]

Answer:

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Step-by-step explanation:

Conversion factor: 1/8

1) Cup = Fluid Ounce / 8

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3) Cup = 4

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4 years ago
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irina [24]

The point (-2, 5) is not included in the solution area

<h3>The graph of the inequalities</h3>

The system of inequalities is given as:

y > 5x + 5

y > -2x+1

See attachment for the graph.

Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded

<h3>The solution area</h3>

The point is given as:

(-2, 5)

The point (-2, 5) is not in the shaded area of the system of inequalities

Hence, the point is not included in the solution area

Mathematically, we have:

5 > 5 * -2 + 5 ⇒ 5 > -5 --- true

5 > -2 * -2 +1 ⇒ 5 > 5 --- false

Since both inequalities are not true, then the point is justified

Read more about system of inequalities at:

brainly.com/question/19526736

#SPJ1

6 0
2 years ago
B. -8+ -2(3) simplified <br><br> C.4 + -5(-3) + (-7)<br><br> D. (-4.25)(2) + (-4.25)(-2)
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B. -14
C. 12
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Audrey has $120 to spend on a tennis racket and lessons. The racket costs $45 and the lessons cost $15 per hour. Define a variab
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I would do 120 - 45. Now that she has 75 left I would do 75 - 15 * 3 Since 45 Is all that she has left.

If I were you choose a variable I would say h for hours. And h is equal to 3.

In result the whole equation would be 120 - 45 - 15 * h but since h is equal to 3 , We can write it as 120 - 45 - 15 * 3. Leaving Audrey with $30 left.

Correct me if I am wrong :)
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The answer is 6350.4
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