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gregori [183]
3 years ago
9

Given the three points (0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the par

abola opens. A) The equation is f(x)=3x^2−33/4x+3, and the parabola opens upward B)The equation is f(x)=−3x^2+9x+3, and the parabola opens downward C)The equation is f(x)=−4x^2−13x+3, and the parabola opens downward. D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.
Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

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3 years ago
Using the triangle below, find the ratio please need help answering for a quiz
Murrr4er [49]
<h3>sin22° = 5/4</h3><h3>tan22° = 3/√55</h3>

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

Now ,

  • tan22° = Opposite/Adjacent = 15/5√55 = 3/√55
  • sin22° = Opposite/hypotenuse = 15/40 = 5/4

8 0
3 years ago
Factor: 3.x2 + 7x + 2​
iren [92.7K]

Answer:

x= -1/3 and -2

I have made it in above picture

5 0
3 years ago
Roscoe is exchanging $ 121 for Euros for his upcoming trip to Germany. If $2 can be exchanged for 1.78 Euros,how many Euros will
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Answer is define variable
6 0
1 year ago
Calculate the mean, median, mode, range, and 5 Number Summary of the following data set: 5,6,8,4,7,5,4,2,5,6,5,2,1,4
Artist 52 [7]

Answer:

mean = 4.57, median = 5 , mode = 5, range =7 ,

five number summary: Minimum value= 1 , First Quartile = 4, Median = 5

Third Quartile  = 6, Maximum value = 8

Step-by-step explanation:

First arrange the data in ascending order.

1,2,2,4,4,4,5,5,5,5,6,6,7,8

Mean = sum of all numbers / total numbers

         = 1+2+2+4+4+4+5+5+5+5+6+6+7+8 / 14

         = 64 / 14

         = 4.57

Median:

Since the given data is even number so, we can find median by taking mean of 2 middle numbers.

so the middle numbers are 7th and 8th  data i.e, 5 and 5

Median =(5+5)/2

           = 5

Mode:

The most repetitive number in the data set is mode

So Mode = 5

Range:

Range can be found by subtracting smallest number from largest number in the data set.

Smallest number  = 1, Largest number = 8

Range= Largest number - Smallest number

        = 8-1 = 7

Five no Summary

Minimum value= 1

First Quartile ( 25 % mark )= 4

Median = 5

Third Quartile (75 % mark) = 6

Maximum value = 8

First quartile can be found by : consider the data on left of the median and find median among them

Third quartile can be found by:  consider the data on right of the median and find median among them

7 0
3 years ago
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