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3 years ago

(05.05) Which of the following inequalities matches the graph? (1 point)

Mathematics

1 answer:

alexira [117]3 years ago

6 0

Answer: Choice A. $x \le -7$

=====================================================

Explanation:

Every point in the shaded region has an x coordinate that is equal to -7 or smaller.

Example points include

(-8, 0)
(-10, 2)
(-9, -5)

The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.

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Find the missing value (9,5)and (x,6)

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3 years ago

What are the solutions to the system of equations? {y=2x²−6x+3 {y=x−2

katrin2010 [14]

Answer:

x = 1, y = −1

x = 5/2, y = 1/2

Step-by-step explanation:

From the question given above, the following data were obtained:

y = 2x² − 6x + 3 ........ (1)

y = x − 2 ...... (2)

We can obtain the solutions to the equation as follow:

y = 2x² − 6x + 3 ........ (1)

y = x − 2 ...... (2)

Substitute the value of y in equation 2 into equation 1

y = 2x² − 6x + 3

y = x − 2

2x² − 6x + 3 = x − 2

Rearrange

2x² − 6x − x + 3 + 2 = 0

2x² − 7x + 5 = 0

Solve by factorization

Obtain the product of 2x² and 5. The result is 10x².

Find two factors of 10x² such that their sum will result to −7x.

The factors are −2x and −5x.

Replace −7x in the equation above with −2x and −5x as shown below:

2x² − 2x − 5x + 5 = 0

2x(x − 1) − 5(x − 1) = 0

(x − 1)(2x − 5) = 0

x − 1 = 0 or 2x − 5 = 0

x = 1 or 2x = 5

x = 1 or x = 5/2

Substitute the value of x into equation 2 to obtain y

y = x − 2

x = 1

y = 1 − 2

y = −1

x = 5/2

y = x − 2

y = 5/2 − 2

y = (5 − 4)/2

y = 1/2

SUMMARY:

x = 1, y = −1

x = 5/2, y = 1/2

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3 years ago

Given b(x) = |x+41, what is b(-10)? O-10 o e o

babymother [125]

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4 0

3 years ago

Which expression can be simplified to find the slope of the trend line in the scatterplot?

Maslowich

Answer:

1. $\frac{24-79}{12-2}$

Step-by-step explanation:

We have been given a graph of a scatter-plot and we are asked to find the correct expression than can be solved to find the slope of the trend line in the scatter-plot.

Since we know that slope of a line can be found by dividing the difference of the y-coordinates of 2 points on a line by difference of the x-coordinates of these same points.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

We can see that (2,79) and (12,24) are two given points of our trend line. So let us substitute x and y-coordinates of our given points in slope formula to find the our desired expression.

$x_1=2$

$x_2=12$

$y_1=79$

$y_2=24$

$\text{Slope}=\frac{24-79}{12-2}$

Therefore, the expression $\text{Slope}=\frac{24-79}{12-2}$ can be solved to find the slope of the trend line in the scatter-plot and 1st option is the correct choice.

7 0

3 years ago

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(05.05) Which of the following inequalities matches the graph? (1 point)​

(05.05) Which of the following inequalities matches the graph? (1 point)