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LiRa [457]
2 years ago
5

Solve the compound inequality for x and identify the graph of its solution.

Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

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Find the slope of the line that passes through (-20, -51) and (31, -75).
lilavasa [31]

Answer:

-8/17

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-75-(-51))/(31-(-20))

m=(-75+51)/(31+20)

m=-24/51

m=-8/17

7 0
3 years ago
Natalie walked
creativ13 [48]

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

7 0
2 years ago
What is the slope of the lines! HELP PLEASE!!! 20points
Nimfa-mama [501]

Answer:

1/5

Step-by-step explanation:

pick any points, for example (6, -1) and (11, 0)

slope is m= (y2-y1) / (x2-x1) = -1-0 / 6-11 = -1 / -5 = 1/5

3 0
3 years ago
Lupita rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. If the taxi charges Lupita $40.03 in total for her tr
Alex777 [14]
Hello! In order to understand this question, we need to take a look at the content that is involved.

Lupita pays $40.03 in total. Meaning that's where we are going to start if we want to find out how many miles her ride was. Since the taxi charges a flat rate of $6.75. We would want to subtract it from her total value because we only work with that flat rate once. Which ends up giving us $33.28. From there, we don't need to worry about the flat rate anymore and we now focus on the mileage. If it costs $3.20 per mile, then we can simply divide the amount after to flat rate by the cost per mile, to figure out how many miles she has gone. In the end, you will get 10.4 miles.
8 0
3 years ago
What is the value of x?
Flura [38]

I think x=9 so 29 plus 7 is 36. I think it is a 36 degree angle. Correct me if im wrong

7 0
3 years ago
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