Answer:
Step-by-step explanation:
<h3>Given</h3>
<h3>Find</h3>
- Solve for x
- Find x when p = -5
<h3>Solution</h3>
- 4(px + 1) = 64
- 4(px + 1)/4 = 64/4
- px + 1 = 16
- px = 15
- x = 15/p
<u>When p = -5, substitute p:</u>
X+x+1+x+2=51
3x+3=51
Use inverse operations to solve
subtract 3 from both sides
3x=48
Divide by 3 on both sides
x=16
16, 17, 18
The probability of getting a total of 8 when two dice are rolled is 0.139 when the answer is rounded to three decimal places.
<h3>What is meant by Probability?</h3>
Numerous uses of mathematics' probability formula may be found. Probability can be used, for instance, to determine the likelihood that a certain marketing would really be successful in generating fresh customers. Calculating the likelihood of something happening is another use of probability.
Let's examine what probability is, how to compute the probabilities of single and many random occurrences, and how the terms probability and odds vary from one another.
The likelihood that an event like rolling two dice will occur is determined by probability:
P(A) = f / N
Odds and probability are connected, but the probability determines the odds. Probability is required before calculating the likelihood of an occurrence.
The probability is P(getting a total of 8 from both dices)=5/36= 0.139.
To learn more about Probability, visit:
brainly.com/question/23554593
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Answer: 5
Step-by-step explanation:
There are 2 roots so the only way to complete the square is,
![y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%29%5D-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%2B4%29-4%5D-9%5C%5Cy%3D2%5B%28x%2B2%29%5E2-4%5D-9%5C%5Cy%3D2%28x%2B2%29%5E2-8-9%5C%5Cy%3D2%28x%2B2%29%5E2-17)
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: 
