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arsen [322]
3 years ago
7

The sum of two consecutive integers is 59. Write an equation that models this situation and find the values of the two integers.

Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0
B




Like the other person said
aksik [14]3 years ago
5 0

Answer:

B

Step-by-step explanation:

n+(n+1)=59

2n=59-1=58

n=58/2=29

n+1=29+1=30

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Mr Thompson please help with my new HW
sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
3 0
3 years ago
Using the graph as your guide complete the following statement
sergij07 [2.7K]

Answer:

Option C. negative

Step-by-step explanation:

we know that

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If D > 0 ---> the the system has two real solutions

If D < 0 ---> then the system has complex solutions

The quadratic equation of the graph has complex solutions

therefore

The discriminant is negative

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zhuklara [117]

Answer:

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Step-by-step explanation:

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Hey You!

Subtract the blue beads from the green to solve: 

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