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2 years ago

What system of linear inequalities is shown in the graph?

Mathematics

2 answers:

Natali [406]2 years ago

8 0

Answer:

sorry bro i think I am not read this chapter we'll I am so sorry

Oksanka [162]2 years ago

4 0

Answer:

y ≥ -1/2x + 2
y > 2x - 3

Step-by-step explanation:

Find equations of each line using two points on each and then determine the inequalities.

<u>Points </u>

(0, 2) and (2, 1)

<u>The slope is:</u>

m = (1 - 2)/2 = -1/2

The y -intercept is 2.

y = -1/2x + 2

<u>The shaded region is to the right and the line is solid, so the inequality is:</u>

y ≥ -1/2x + 2

<u>Points:</u>

(0, -3) and (2, 1)

<u>The slope is:</u>

m = (1 - (-3))/2 = 2
The y- intercept is -3

y = 2x - 3

<u>The shaded region is to the left and the line is not solid, so the inequality is:</u>

y > 2x - 3

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13. Simplify the following:

strojnjashka [21]

Answer:

x^8

Step-by-step explanation:

x^3 x x^5

=x3*x5

=(x*x*x) * (x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

3 0

3 years ago

Simplify the expression below 3x² - 5x² + 4x²

jenyasd209 [6]

Combine Like Terms;

= 3x^2 + -5x^2 + 4x^2

= (3x^2 + -5x^2 + 4x^2)

= 2x^2

5 0

4 years ago

Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20

densk [106]

Answer:

$P_{20} = 20$ --- 20th percentile

$P_{25} = 21.75$ --- 25th percentile

$P_{65} = 27.85$ --- 65th percentile

$P_{75} = 29.5$ --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

$P_{20} = 20 * \frac{N +1}{100}$

$P_{20} = 20 * \frac{8 +1}{100}$

$P_{20} = 20 * \frac{9}{100}$

$P_{20} = \frac{20 * 9}{100}$

$P_{20} = \frac{180}{100}$

$P_{20} = 1.8th\ item$

This is then calculated as:

$P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)$

$P_{20} = 16 + 0.8*(21 - 16)$

$P_{20} = 16 + 0.8*5$

$P_{20} = 16 + 4$

$P_{20} = 20$

Solving (b): The 25th percentile

This is calculated as:

$P_{25} = 25 * \frac{N +1}{100}$

$P_{25} = 25 * \frac{8 +1}{100}$

$P_{25} = 25 * \frac{9}{100}$

$P_{25} = \frac{25 * 9}{100}$

$P_{25} = \frac{225}{100}$

$P_{25} = 2.25\ th$

This is then calculated as:

$P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)$

$P_{25} = 21 + 0.25(24-21)$

$P_{25} = 21 + 0.25(3)$

$P_{25} = 21 + 0.75$

$P_{25} = 21.75$

Solving (c): The 65th percentile

This is calculated as:

$P_{65} = 65 * \frac{N +1}{100}$

$P_{65} = 65 * \frac{8 +1}{100}$

$P_{65} = 65 * \frac{9}{100}$

$P_{65} = \frac{65 * 9}{100}$

$P_{65} = \frac{585}{100}$

$P_{65} = 5.85\th$

This is then calculated as:

$P_{65} = 5th + 0.85(6th - 5th)$

$P_{65} = 27 + 0.85(28 - 27)$

$P_{65} = 27 + 0.85(1)$

$P_{65} = 27 + 0.85$

$P_{65} = 27.85$

Solving (d): The 75th percentile

This is calculated as:

$P_{75} = 75 * \frac{N +1}{100}$

$P_{75} = 75 * \frac{8 +1}{100}$

$P_{75} = 75 * \frac{9}{100}$

$P_{75} = \frac{75 * 9}{100}$

$P_{75} = \frac{675}{100}$

$P_{75} = 6.75th$

This is then calculated as:

$P_{75} = 6th + 0.75(7th - 6th)$

$P_{75} = 28 + 0.75(30- 28)$

$P_{75} = 28 + 0.75(2)$

$P_{75} = 28 + 1.5$

$P_{75} = 29.5$

7 0

3 years ago

Identify this sequence: 12,19,26,33,40,47. The next term is___??

alexandr402 [8]

Next term is 54. 47+7=54

6 0

3 years ago

Which is a solution to the equation?

Brrunno [24]

Answer:

-7 or 4

Step-by-step explanation:

use foil to get the quadratic equation:

x^2+5x-2x-10=18

x^2+3x-10=18

bring "18" to the left:

x^2+3x-10-18

x^2+3x-28

so what*what= -28

and

what+what=3

factors of -28: -7,4 -4,7 14,-2 -14,2 -28,1 -1,28

factors whose sum is 3: 7,-4

so substitute "7,-4" in place of 3:

x^2+7x-4x-28

2) split it in two groups

group 1) x^2+7x

group 2) -4x-28

x^2+7x has a GCF of "x"

x(x+7)

group 2) -4x-28 has a gcf of "-4"

-4(x+7)

3) (x-4) (x+7)=0

x-4=0

x=4

x+7=0

x=-7

x=4,-7

Hope this helps!

4 0

3 years ago