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kolezko [41]
2 years ago
15

A data set consists of these points: (2, 4), (4,7), (5, 12). malinda found the

Mathematics
1 answer:
WITCHER [35]2 years ago
4 0

The complete question is

"A data set consists of the following data points: (2,4),(4,7), (5, 12)

The line of best fit has the equation y = 2.5x - 1.5. What does this equation predict for a value of x = 7?

O A. 16

O B. 19

O C. 20.5

O D. 175

0 0 0

a. no. both a and b are incorrect.

b. no. the value for b is incorrect.

c. no. the value for a is incorrect.

d. yes. this is the correct equation."

The  equation predict for a value of x = 7 in equation  y = 2.5x – 1.5  is  (x, y) = (3, 16). Option B is correct.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

"A data set consists of the following data points: (2,4),(4,7), (5, 12)

y = 2.5x - 1.5

Puy x = 7

y = 2.5(7) - 1.5

y = 17.5 - 1.5

y = 16

The  equation predict for a value of x = 7 in equation  y = 2.5x – 1.5  is  (x, y) = (3, 16). Option B is correct.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

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If α and β are the roots of the equation ax2+bx+c=0,αβ=4ax2+bx+c=0,αβ=4 and a,b,,c are in A. P then α+β=
Rasek [7]

Considering the sum and the product of the roots of the quadratic equation, it is found that the numeric value of the expression is given as follows:

\alpha + \beta = -2.5

<h3>What are the sum and the product of the roots of a quadratic equation?</h3>

A quadratic equation is defined as follows:

y = ax^2 + bx + c, a \neq 0

The roots of the equation are given as follows:

\alpha, \beta

The sum of the roots is given as follows:

\alpha + \beta = -\frac{b}{a}

The product of the roots is given as follows:

\alpha\beta = \frac{c}{a}

In the context of this problem, the product is of 4, as \alpha\beta = 4 hence:

c/a = 4

c = 4a.

The coefficients are in an arithmetic progression, hence:

  • b = a + d. (d is the common difference of the sequence).
  • c = a + 2d.

We have that c = 4a, hence:

4a = a + 2d

2d = 3a

d = 1.5a.

Hence coefficient b is calculated as follows:

b = a + d = a + 1.5a = 2.5a.

Then the sum of the roots is given as follows:

\alpha + \beta = -\frac{b}{a} = -\frac{2.5a}{a} = -2.5

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
1 year ago
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