# Would give you brainliest whoever answers this correct first !!

## Related Questions

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2a. (x, y) = (2, 2)

2b. (x, y) = (3, -1)

3. -5, 3, y, 5, 1

Step-by-step explanation:

### 2A.

The first equation defines an expression for x, so it is convenient to use that to substitute for x in the second equation.

2(3y-4) -y = 2 . . . . . substitute for x

6y -8 -y = 2 . . . . . . eliminate parentheses

5y = 10 . . . . . . . . . add 8, collect terms

y = 2 . . . . . . . . . . divide by 5

x = 3(2) -4 = 2 . . . find x using the first equation

The solution is (x, y) = (2, 2).

__

### 2B.

Add 3 times the second equation to the first.

(3x +2y) +3(-x +y) = (7) +3(-4)

5y = -5 . . . . . simplify

y = -1 . . . . . . . divide by 5

x = y +4 = -1 +4 = 3 . . . . rearrange the second equation

The solution is (x, y) = (3, -1).

__

### 3.

The slope of this equation is -5 [the x-coefficient]. I would start at +3 [the y-intercept] on the y axis and then drop down 5 and run over 1 .

[The slope is the ratio of rise to run. A slope of -5 means the "rise" is a drop of 5 for each "run" of 1 unit to the right.]

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?

5

Step-by-step explanation:

What two numbers have a least common multiple of 40 and a greatest common factor of 2?

2 and 40
Common factors
40={1,2,4,5,8,10,20,40}
2 = {1,2}

Greatest common factor =2

Common multiples
40={40,80,...}
2 = {2,4,6,8,10,...,40,42,...}

Least common multiple= 40

What is the difference? StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

### The answer is option D.

Step-by-step explanation:

First we must first find the LCM

The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is

x² + 3x + 2

So we have

Hope this helps you

Step-by-step explanation:

HoPe ThIs HeLpS!

it's 61+61

Step-by-step explanation:

i hope this helps

The data set shows the number of practice free throws players in a basketball competition made and the number of free throws they made in a timed competition.Practice throws 312 614 2 710 8Free throws 10 22 9 35 4 11 28 20A. Use technology to find the equation AND coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Equation of regression modelCoefficient of determinationLinear model Quadratic model Exponential model B. EXPLAIN, using the information you found above, which model best fits the data set. How did you come to your conclusion?Note: write exponents like this x^2 if you need to.

Let

x -----> number of practice throws

y -----> the number of free throws

Part A

Linear Model

Using a Linear Regression Calculator

we have

ŷ = 2.352X - 0.852

see the attached figure

Remember that

With linear regression, the coefficient of determination is equal to the square of the correlation between the x and y variables

the coefficient r=0.919

we have

y=0.073x^2+1.205x+2.555

correlation coefficient r=0.925 ------> strong correlation

see the attached figure

Exponential model

Using an Exponential Regression Calculator

we have

y=4.229(1.17)^x

Correlation:r=0.913

see the attached figure

Part B

The model that best fits the data is the Quadratic model because its value of r is greater than the linear model and greater than the exponential model