Solve. 8/x + 15/x^2 = -1A.
x= 5,-3

B.
x= -5,-3

C.
x= -5,3

D.
x=5,3

Answers

Answer 1
Answer: 8/x + 15/x^2 = -1
(8x+15)/x^2 = -1
8x + 15 = -1*x^2
8x + 15 = -x^2
x^2 + 8x + 15 = 0
(x+5)(x+3) = 0
x+5=0   ................     x+3=0
x = -5  .....................  x = -3

saludos :)

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Fourteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective. What is the probability you randomly select an item that is not​ defective?

Answers

What is the probability?

  • The probability is a measure of the likelihood of an event to occur.
  • P(A) is the probability of an event, n(A) is the number of favorable outcomes and n(S) is the total number of events in the sample space.
  • The probability that a randomly selected item is not defective is P(A) = n(A)/n(S).

We are given that a total of 100 digital video recorders​ (DVRs) out of these 14 are defective.

The probability of randomlyselect an item that is defective,

P(A) = n(A)/n(S)

P(A) = 14/100

P(A) = 7/50

The probability of randomlyselecting an item that is not defective,

P(A) = 1-(7/50)

P(A) = (50-7)/50

P(A) = 43/50

Hence, the probability of randomly selecting an item that is not​ defective is 43/50.

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P(non-defective) = 43/50
First, you subtract 14 from 100 to get the number of non-defective video recorders.
Then, you reduce the fraction of 86/100 to 43/50.

Decrease 40 by 12.5%

Answers

Answer:

35

Step-by-step explanation:

Multiply 40 by 0.125 (12.5%) and you get 5

Subtract 5 from 40

35

Write an explicit formula for each sequence.
3, 7, 11, 15, ...

Answers

Answer:

f(n)= f(1)+d(n-1)

Step-by-step explanation:

the aerithmetric explict formula is the one above, but im  not sure what the question is asking, your difference is 4 btw    

2x^2+7x-15=0If r and s are two solutions of the equation above and r > s, which of the following is the value of r-s?

Answers

Final answer:

As per the equation, the value of r - s is 13/2.

Explanation:

A mathematical equation is a statement asserting the equality of two mathematical expressions, typically involving variables, constants, and operations. Equations help solve problems and represent relationships in various mathematical disciplines. For example, "2x + 5 = 11" is a simple linear equation.

To find the values of r and s, we need to solve the quadratic equation 2x^2 + 7x - 15 = 0.

We can factor the equation as (2x - 3)(x + 5) = 0. This gives us two possible solutions: x = 3/2 and x = -5.

Since r > s, the larger solution is r = 3/2 and the smaller solution is s = -5. The difference between r and s is therefore r - s = 3/2 - (-5) = 3/2 + 5 = 13/2.

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Final answer:

The solution to the quadratic equation 2x² + 7x - 15 = 0 are x = 5 and x = -1.5. If we define r as the larger solution and s as the smaller one, then r = 5 and s = -1.5. The difference r - s would then be 5 - (-1.5) = 6.5.

Explanation:

The given equation is a quadratic equation, which can be written in the standard form ax² + bx + c = 0. The direct solutions to this equation are given by the quadratic formula: x = [-b ± √(b² - 4ac)] / 2a.

For the given equation 2x² + 7x - 15 = 0, a = 2, b = 7, and c = -15. Plugging these values into the quadratic formula, you get the solutions x = [-7 ± √(49 - 4 × 2 × (-15))] / 4. Calculating further, you get the values x = [-7 ± √(49 + 120)] / 4 = [-7 ± √(169)] / 4. So the solutions are x₁ = 5 and x₂ = -1.5.

If we define r as the larger solution and s the smaller one, then r = 5 and s = -1.5. The difference r - s then becomes 5 - (-1.5) = 6.5.

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Long division 150 divided by 12

Answers

150÷12 = 
CORRECT SOLUTION:
15 goes into 12 once so 150÷12 = 1
The remainder is 3 because 15-12 =3
30÷12 = 2
The remainder is 6 because 30-24=6
ad a decimal point and a 0                                                                         60÷12=5
CORRECT ANSWER: 12.5

150 ÷ 12

12 I 150

there is no twelve in one, so it is just zero
       0
12 I 150

In 15, there is 1 twelve, because 12 × 1 = 12
       01
12 I 150
      -12
       030

There are 2 twelves in 30, because 2 × 12 = 24
       012
12 I 150
      -12
       030
        -24
         06

Put a decimal point after the quotient and 150 to continue from the remainder
       012.
12 I 150.
      -12
       030
       -24
        060

There are exactly 5 twelves in 60, 5 × 12 = 60
       012.5
12 I 150.0
      -12
       030
        -24
          060
           -60
            00     no remainder

150 ÷ 12 = 12.5

G plus 6 is 10 what is g

Answers

Answer:

4 is the answer lol. if u are a gi see my questions

Answer:

the g is 4 ok hope it helps. see comments