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blondinia [14]
3 years ago
5

What is this in vertex form

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

(x + 1)² + 4

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a (x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

to obtain this form use the method of completing the square

• add/subtract (half the coefficient of the x-term)² to x² + 2x

= x² + 2(1)x + 1 - 1 + 5

= (x + 1)² + 4 ← the second option



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Can someone help with question 3
kirza4 [7]

Answer:

This is what you have to explain:

With 5n, you are multiplying a number and a variable.

With 5 + n, you are adding a number and a variable.

4 0
3 years ago
The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab
Drupady [299]

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3

More can be learned about the uniform distribution at brainly.com/question/13889040

7 0
2 years ago
Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?​
DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".  

<em>It is given that Carmen's golf score is 6 strokes less than Linda's.</em>

Thus, Carmen's score is (x-6).

The total score of the girls is

= x + (x-6) = 2x-6

The total score is given to be 156.

Thus, the equation becomes,

2x-6 = 156

2x= 162

x = 81

<em>Thus Linda's score is 81 and Carmen's score is (156-81) 75.</em>

5 0
3 years ago
15w2+62w+63=0 <br><br><br> Can you help me
anzhelika [568]

Answer:

w=-7/3 and w=-9/5

Step-by-step explanation:

Given: 15w^2+62w+63=0

Factor: (3w+7)(5w+9)=0

Zero Product Property: 3w+7=0 and 5w+9=0

Solve each equation: w=-7/3 and w=-9/5

Let me know if you would like me to explain more.

7 0
3 years ago
Xy = 6<br> | 2x – y = 1<br> Solve each system by substitution
AnnZ [28]

Answer:  {x,y} = {2,-4}  

  [1]    x - y = 6

  [2]    2x + y = 0

Step-by-step explanation:

7 0
3 years ago
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