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Alinara [238K]
3 years ago
11

Solve a quadratic equation by factoring j2–30j=0

Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

j = 0  or j = 30

Step-by-step explanation:

j² - 30j = 0

Factorise j out of both terms on the left side.

j (j-30) = 0

Apply zero product rule.

j = 0  or j-30 = 0

Find the value of j.

j = 0  or j = 30

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3 years ago
I really need help with this
zysi [14]

Answer:

Our system of equations is:

  • y+2x+1=0
  • 4y-4x²-12x = -7

We are looking for x

Let's express y using x

  • y+2x+1=0
  • y= -2x-1

Replace x in the second equation with the result

  • 4y-4x²-12x = -7
  • 4(-2x-1)-4x²-12x = -7
  • -8x-4-4x²-12x = -7
  • -8x-4x²-12x = -7+4
  • -4x²-20x = -3
  • -4x²-20x+3 = 0          multiply by -1 to get rid of the - signs with x
  • 4x²+20x-3=0

4x²+20x+3=0 is a quadratic equation

Let Δ be our discriminant

  • a= 4
  • b= 20
  • c= -3

Δ= 20²-4*4*(-3)

Δ=448 > 0 so we have two solutions for x

let x and x' be the solutions

  • x = \frac{-20-\sqrt{448} }{8}= -5.145 ≈ -5.15
  • x'= \frac{-20+\sqrt{448} }{8}= 0.145≈ 0.15

so the solutions are:

-5.15 and 0.15

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3 years ago
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Answer:

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Step-by-step explanation:

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Graph the line with the equation y=1/5x+4.
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Step-by-step explanation:

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2 years ago
A financial manageress for a company is considering two competing investment proposals. For each of these proposals, she has car
777dan777 [17]

Answer:

Project B is preferable solely from the standpoint of expected monetary return.

Step-by-step explanation:

Calculations of Expected Returns:

Project A:

Net Profits             Probability          Expected Returns:

GHȼ 20,000.00    0.2                      GHȼ 4,000

GHȼ 30,000.00    0.4                      GHȼ 12,000

GHȼ 50,000.00    0.4                      GHȼ 20,000

Total Expected Returns                   GHȼ 36,000

Project B:

Net Profits             Probability          Expected Returns:

GHȼ 100,000         0.5                      GHȼ 50,000

GHȼ 0.00               0.5                      GHȼ 0.00

Total Expected Returns                   GHȼ 50,000

Expected Returns are the returns or income which have been weighed with their probabilities of occurrence.  It is used to determine the best outcome given events that have different probabilities of occurring.   It is an important measure of returns which helps in deciding the best investment option to pursue.

8 0
3 years ago
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