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LekaFEV [45]
3 years ago
10

Use quadratic regression to find the

Mathematics
1 answer:
tigry1 [53]3 years ago
5 0

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

y=ax^2+bx+c ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

y=3x^2+(-1)x+(-2)

y=3x^2-x-2

Therefore, the equation of parabola is y=3x^2-x-2 and the missing values in the given equation are 3, -1 and -20.

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To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented
-Dominant- [34]

Answer:

g is the independent variable.

u is the independent variable.

Step-by-step explanation:

According to the question, the data mentioned is as follows

Equation g = 748u

where,

g = the total number of gallons of water used

And, u =  the number of units.

As we've seen, Consumers are using the number of units of water.

The volume of water units does not depend on the total quantity of gallons of water that is being used.

So, the number of units i.e u represents an independent variable.

hence,

The value of the total quantity of gallons is entirely dependent on the number of units used, and the g represents the dependent variable

Therefore,

The third and fourth option is correct

6 0
3 years ago
Read 2 more answers
PLSSS HELP IF YOU TURLY KNOW THISS
Natalija [7]

Hello there!

11⁶/11²=11/⁴ because when we divide numbers with the same base, we subtract the powers.

11⁴*11⁵=11⁹ because we add the powers when multiplying numbers with the same base.

I hope this helps you!

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SilentNature

4 0
3 years ago
Read 2 more answers
The two-way table shows information about the subjects studied
son4ous [18]

Answer:

  a) 62

  b) 31/45

Step-by-step explanation:

a) The table tells you there are 42 males, and 20 more females that study biology.

  42 +20 = 62 . . . are male or study biology or both

__

b) Of the total of 90 people, 62 are male or study biology (or both). The probability that any person is in that category is ...

  62/90 = 31/45 = P(male or biology)

4 0
3 years ago
Please help me find out the answer in this picture :)
Y_Kistochka [10]

Answer:

The answer is "d" x= r-p / g

Step-by-step explanation:

First let's get rid of the "p" term on the left-side. After you've done that, you have to get rid of the g term. So you divide the x term by the g-term, you do this to both sides.

6 0
3 years ago
The greatest common factor of 16 and the positive integer n is 4, and the greatest common factor of n and 45 is 3. Which of the
Digiron [165]

Answer:

6 if 7 doesnt divide n, 42 otherwise. The only possible options are those 2.

Step-by-step explanation:

I will find the possible answers, since no options were given

16 = 2^4 , thus, 16 only has 2 as a prime divisor. We conclude that n = 4*k, with k an odd number. On the other hand, 45 = 3^2 * 5 , since the greatest factor between n and 45 is 3, then 5 is not a divisor of n, and n has the form 3*j, with j not a multiple of 3. Since 3 and 4 doesnt have common primes as factors,  then j = 4*l, with l odd.

Thus n = 12 * j, with j a number that satisfies:

  • 3 is not a divisor of j
  • 2 is not a divisor of j
  • 5 is not a divisor of j

Note that 210 = 2*3*5*7 . 12 is not factor of 210, but 6 is. j doesnt have any prime divisor in common with 210, with the exception, maybe, of 7. So the greatest common factor of them is 1 or 7, depending on weather 7 divides j (or equivalently, n) or not. Therefore, the greatest common factor of n and 210 could be 6, if 7 does not divide n, or 6*7 = 42, if 7 divides n.

I hope that works for you!

8 0
3 years ago
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