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3 years ago

Which equation best fits these data? PLEASE HELP

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

8 0

Answer:

The correct option is C.

Step-by-step explanation:

Answer:

The required quadratic regression model is $y=x^2-2x-3$ .

Step-by-step explanation:

The given data points are (-6,12), (-4,15), (-3,17), (-1,17), (1,15), (2,11), (3,9), (4,6).

From the graph it is clear that the given data forms a U-shaped curve. It means we have to find the quadratic regression model.

The general form of quadratic regression model is

$y=ax^2+bx+c$

Using technology we get,

$a=-0.32,b=-1.26,c=15.81$

The required quadratic regression model is

$y=-0.32x^2-1.26x+15.81$

Therefore the correct option is C.

Dimas [21]3 years ago

3 0

Answer:

Step-by-step explanation:

Use a quadratic equation regression calculator.

Plugging in all the points, the equation should come somewhere close to

$y=-0.32x^{2} -1.26x+15.81$

Which is answer choice C.

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I am 20 years older than twice my daughter's age how old is my daughter you should already know my age in the last problem

Nina [5.8K]

Answer:

You are 34 years old

Step-by-step explanation:

Because, 34-17=17

17 is half of 34.

2x+20=y

y-17=0.5y

+17 +17

y=0.5y+17

2(0.5y+17)+20=0.5y+17

y+34+20=0.5y+17

y+54=0.5y+17

y=34

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3 years ago

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<span>3.6 km is equal to 3,600 m :)</span>

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4 years ago

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The planet Jupiter is approximately 780 million km from the Sun.

iren2701 [21]

Answer:

light takes 3×10^5 second s

so total seconds taken by the light =780×10^6/3×10^5

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3 years ago

If you invest 3,500 in a savings account that pays 4% simple interest how much will the new balance be after including interest?

garik1379 [7]

Answer:

New balance = 3640

Step-by-step explanation:

Given the following data;

Interest rate = 4% = 4/100 = 0.04

Principal = 3500

To find the new balance;

First of all, we would find the amount at the interest rate;

New amount = interest rate * principal

New amount = 0.04 * 3500

New amount = 140

Now, to find the new balance;

New balance = principal + new amount

New balance = 3500 + 140

New balance = 3640

8 0

3 years ago

Solve for x. enter your answer in interval notation using grouping symbols. x^2+15x<-36

Oliga [24]

X²+15x+36<0

at first solve quadratic equation

D=b²-4ac= 225-4*1*36= 81

x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3

we can write x²+15x+36<0 as (x+12)(x+3)<0

(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set

or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality

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4 years ago