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HACTEHA [7]
3 years ago
7

Need the answer asap!! thank you!!!

Mathematics
1 answer:
Masteriza [31]3 years ago
7 0

Answer: C

Positive and between 0.0 and 0.5

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Given that α and β are the roots of the quadratic equation <img src="https://tex.z-dn.net/?f=2x%5E%7B2%7D%20%2B6x-7%3Dp" id="Tex
siniylev [52]

Answer:

\large \boxed{\sf \ \ \ p=-11 \ \ \ }

Step-by-step explanation:

Hello,

\alpha \text{ and } \beta \text{ are the roots of the following equation}

   2x^2+6x-7=p

It means that

   2\alpha^2+6\alpha-7=p \\\\2\beta ^2+6\beta -7=p \\\\

And we know that

\alpha= 2\cdot \beta

So we got two equations

   2(2\beta)^2+6\cdot 2 \cdot \beta -7=p \\\\8\beta^2+12\beta -7=p\\\\ and \ 2\beta ^2+6\beta -7=p \ So \\\\\\8\beta^2+12\beta -7 = 2\beta ^2+6\beta -7\\\\6\beta^2+6\beta =0\\\\\beta(\beta+1)=0\\\\ \beta =0 \ or \ \beta=-1

For \beta =0, \ \ \alpha =0, \ \ p = -7

For \beta =-1, \ \ \alpha =-2, \ \ p= 2-6-7=-11, \ p=2*4-12-7=-11

I assume that we are after two different roots so the solution for p is p=-11

b) \alpha +2 =-2+2=0 \ and \ \beta+2=-1+2=1

So a quadratic equation with the expected roots  is

x(x-1)=x^2-x

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

3 0
3 years ago
What is 1/2 of 25? _______Explain.
Scilla [17]

Answer:

12.5

Step-by-step explanation:

0.5x25=12.5. FILLER

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3 years ago
A woman is trying to make sweet tea, but she just can't seem to get it sweet enough. Which method would help her get more sugar
guajiro [1.7K]
I believe the answer is 1
I hope this helps!
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4 years ago
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What is P(Consonant,C) on two consecutive spins<br><br> i need help
galben [10]

The probability of consonant C is 1/4.

<u>Step-by-step explanation:</u>

  • The spin board shown in the image has 4 different consonants that are  A,B,C and D.
  • Therefore, it can be determined that one spin gives the total possibilities of 4 outcomes which is equal to A,B,C,D.

1 spin = {A,B,C,D} = 4 possible outcomes.

For 2 spins, the outcome will be {A,B,C,D} and again {A,B,C,D}.

2 spin = {A,B,C,D} + {A,B,C,D} = 8 possible outcomes.

<u>To find the probability of consonant C :</u>

Probability = Number of required event / total possible events.

Here, the required event is consonant C. In 1st spin, the event of consonant C occurs one time.

Then, in the 2nd spin, the event of consonant C occurs one more time.

  • The number of required event is 2.
  • The total number of events is 8.

Probability (consonant C) = 2/8 ⇒ 1/4.

7 0
3 years ago
Tetsuo has 50 arcade tokens each arcade game at retrorama cost 4 tokens how many games can gets up play find the inequality
ElenaW [278]

Answer:12.5

Step-by-step explanation:

6 0
3 years ago
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