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Step2247 [10]
2 years ago
10

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Id

entify which form would be more helpful if you needed to do each task listed below and explain why
Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0
Below are suppose the be the questions:

a. factor the equation 
<span>b. graph the parabola </span>
<span>c. identify the vertex minimum or maximum of the parabola </span>
<span>d. solve the equation using the quadratic formula
</span>
below are the answers:

Vertex form is most helpful for all of these tasks. 
<span>Let </span>
<span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>

<span>a) Factor: </span>
<span>.. (x -h +√(-k/a)) * (x -h -√(-k/a)) </span>

<span>b) Graph: </span>
<span>.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a". </span>

<span>c) Vertex and Extreme: </span>
<span>.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise. </span>

<span>d) Solutions: </span>
<span>.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are </span>
<span>.. x = h ± √(-k/a)</span>
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yanalaym [24]
No, it is not. If you see closely, the number 5.2 is not 52. 60 is greater than 5.2.
4 0
3 years ago
Read 2 more answers
PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! The table below shows the change in the value of shares over the last three years.
gulaghasi [49]

First, lets convert them into multipliers:

The multiplier for a:

                             25% increase = 1.25

                             40% decrease = 0.6

                             40% increase  = 1.4

Now to work out the overall percentage change, we just times all of the multipliers together, and convert it back to a percentage:

1.25 x 0.6 x 1.4 = 1.05    

So the overall multiplier is 1.05

And a multiplier of 1.05 = a <u>5% increase</u>.

That means that the percentage change is + 5%

_________________________________________

Answer:

The percentage change in shares from the start of 2013 to the end of 2015 is:

+ 5%

_______________________________________

Note: if you haven't been taught multipliers - then ask and I'll try my best to explain!

6 0
2 years ago
In a class, 60% of the students are girls. There are 18 girls in the class.
N76 [4]

Answer:

The answer is 30

Step-by-step explanation:

If you were to do 50% of 30, it would be 15 students that are girls. There's 18 students that are girls though, so the extra 10% would make 18 students in the class girls. The remaining 40% would be 12 boys. So basically you're taking 10% from one side and putting it in the other because 50% of 30 is 15 (well this is at least how I would do it, I don't know how others would do it though)

5 0
2 years ago
What is 17/18 + 1/20
MrMuchimi

Answer:

179/180

Step-by-step explanation:

<em><u>Step One</u></em>

Find the prime factors of 18 and 20

18:3*3*2

20: 2 * 2 * 5

<em><u>Step Two</u></em>

You need two 2s two 3s and one 5 for the common denominator

The common denominator is 2 * 2 * 3 * 3 * 5 = 180

<em><u>Step Three</u></em>

Put the two fractions over 180

\dfrac{17*10}{10*18} + \dfrac{1*9}{10*18}

\dfrac{170}{180} + \dfrac{9}{180}

179/180

8 0
3 years ago
The Question
77julia77 [94]

Answer:

40

Step-by-step explanation:

Divide 12 by .40 (the percentage) to figure out what the full number would be.

5 0
2 years ago
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