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Bezzdna [24]
2 years ago
10

Write the sentence as an equation. 102 is the same as the product of 189 and p, decreased by 80

Mathematics
1 answer:
rosijanka [135]2 years ago
8 0

Answer:

102+189p-80

Step-by-step explanation:

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Find all zeros x^3+2x^2+4x+21
dlinn [17]

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


5 0
3 years ago
I need help with this please pls pls
Masja [62]

Answer:in what ?

Step-by-step explanation:

7 0
3 years ago
A parabola has a vertex at (3,4) and passes through point (-2,-9/4) as shown to the right. Which of the following is the equatio
Alex17521 [72]

Answer:

b. y= -4(x-3)^2+4

Step-by-step explanation:

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6 0
3 years ago
Find a negative integer M so that the equation (x-12)(x+m) = m-51​
AleksAgata [21]

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Step-by-step explanation:

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8 0
3 years ago
Based on the information below, choose the correct answers. Note: The monthly loan payment was calculated at 119 payments of $33
Margaret [11]

Answer:

  • $122.04
  • 36.94%

Step-by-step explanation:

a) The amount of concern is ...

  (total interest)/(number of payments) = interest/payment

  $14,644.95/120 ≈ $122.04 . . . . amount of interest per payment

__

b) The ratio of concern is ...

  (total interest)/(total payments) × 100% = 14,644.95/39,644.95 × 100%

  ≈ 36.94% . . . . percent of total payments that is interest

6 0
3 years ago
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