MATHEMATICS HIGH SCHOOL

Which points are solutions to the linear inequality; y < 0.5x + 2?

Answers

Answer 1

Answer:

Answer:

A) $(-3,-2)$

C) $(-1,-2)$

E) $(1,-2)$

F) $(1,2)$

Step-by-step explanation:

we have

$y<0.5x+2$

The options are the points

$(-3,-2)$ , $(-2,1)$ , $(-1,-2)$ , $(-1,2)$ , $(1,-2)$ , $(1,2)$

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

Verify

Point A) $(-3,-2)$

Substitute the value of x and value of y in the inequality an compare

$-2<0.5(-3)+2$

$-2<0.5$ -------> is true

The ordered pair $(-3,-2)$ is a solution of the inequality

Point B) $(-2,1)$

Substitute the value of x and value of y in the inequality an compare

$1<0.5(-2)+2$

$1<1$ -------> is not true

The ordered pair $(-2,1)$ is not a solution of the inequality

Point C) $(-1,-2)$

Substitute the value of x and value of y in the inequality an compare

$-2<0.5(-1)+2$

$-2<1.5$ -------> is true

The ordered pair $(-1,-2)$ is a solution of the inequality

Point D) $(-1,2)$

Substitute the value of x and value of y in the inequality an compare

$2<0.5(-1)+2$

$2<1.5$ -------> is not true

The ordered pair $(-1,2)$ is not a solution of the inequality

Point E) $(1,-2)$

Substitute the value of x and value of y in the inequality an compare

$-2<0.5(1)+2$

$-2<2.5$ -------> is true

The ordered pair $(1,-2)$ is a solution of the inequality

Point F) $(1,2)$

Substitute the value of x and value of y in the inequality an compare

$2<0.5(1)+2$

$2<2.5$ -------> is true

The ordered pair $(1,2)$ is a solution of the inequality

Answer 2

Answer:

Hi There

x= -4

y= 2

(-4,2)

I hope that's help !

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Which fraction is bigger 5/8 or 11/20

Answers

5/8 is bigger than 11/20 you can find this by doing 11/20 times 2 = 22/40 and than 5/8 times 5 = 25/40 so 5/8 is bigger than 11/20

the answer would be 5/8 is bigger then 11/20

What is the value of the expression below when w = 5?
2w2 – 2w + 3

Answers

Answer:

I got you

Step-by-step explanation:

2 time 5 times 2 is 20. This minus 2 times 5 is 10 plus 3 is 13.

Answer:13

Step-by-step explanation:

What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8? x + 2y - 8 = 0 2x + y - 8 = 0 2x - y + 8 = 0

Answers

y=mx+b
m=sloe
b=yint
given
slope=-2
yintercept=8

y=-2x+8
add 2x to both sides
2x+y=8
minus 8 both sides
2x+y-8=0

y= -2x +8 is slope intercept form. To change it to standard form you have to move the x to the left side. Add 2x to both sides. Then move the 8 to the left side so subtract 8 from both sides.
2x + y -8=0
The second one is correct

1235678 has how many tens in it? how many hundreds in it? and how many thousands? explain

Answers

My guess:
It has 7 tens because the 7 is in the tenths place.
It has 6 hundreds in it because a 6 is in the hundredths place.
And 5 thousands because a 5 is in the thousandths place.

My second mathematical guess:
123,567.8 tens because 12345678 divided by ten is that.
123456.78 hundredths because ^^^hundreds
12345.678 thousandths because^^^ thousands
Or another explanation for my second guess is each 0 it has in it is another decimal place moved to the left of the digits 12345678.

Hahaha hope I helped. It's just a guess. Lol

7 tens, 6 hundreds, and 5 thousands.

On Monday, Maria leaves her house for work and heads 20° east of north for 11 miles. On Tuesday, Maria visits her friend before work. Maria's friend's house is 6 miles away from hers at 10° south of west. How far does Maria's friend live from her work? Round the answer to the nearest tenth. A. 9.2 miles B. 10.6 miles C. 12.5 miles D. 14.9 miles