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fgiga [73]
2 years ago
12

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.

Mathematics
1 answer:
Reil [10]2 years ago
7 0

Answer:

(1 , 1)

Step-by-step explanation:

Given in the question two equations

Equation 1

y = x² – x + 1

Equation 2

y = x

Equate both equations

x² – x + 1 = x

0 = x² – x + 1 - x

x² – 2x + 1 = 0

x² - x - x + 1 = 0

x(x - 1) -1(x - 1) = 0

(x - 1)(x - 1) = 0

(x-1)² = 0

x - 1 = 0

x = 1

Plug x = 1 in first equation

y = 1² – 1 + 1

y = 1

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Answer:

Correct statement: (a) and (b).

Step-by-step explanation:

R-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.

The coefficient of determination is the squared value of the correlation coefficient.

That is,

R^{2}=(r(X, Y))^{2}

The correlation coefficient between two variables is the measure of the strength and direction of the relationship between two variables.

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Although <em>r</em> can be negative but R² is always positive, since square of a negative number is also positive.

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2 years ago
Carissa counts by 5s from 32 to 62. Which number does carissa count?
Anna35 [415]

Answer:

32, 37, 42, 47, 52, 57, 62.

Step-by-step explanation:

It is given that Carissa counts by 5s from 32 to 62.

It means, we have to add 5 in the number to get the next number.

Add 5 in 32.

32+5=37

Now, add 5 in 37.

37+5=42

Similarly, continue the process.

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Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.

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A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. The total number
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Answer:

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Step-by-step explanation:

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