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2 years ago

Solve the following inequalities and give the solutions in both set and interval notations.

Mathematics

1 answer:

nikdorinn [45]2 years ago

5 0

4y + 3 > 23 subtract 3 from both sides

4y > 20 divide both sides by 4

y > 5

-2y > -2 divide both sides by -2 (the order changes)

y < 1

(-oo, 1) ∪ (5, oo)

Upvote

SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

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Which point on the number line represents the product of 4 and -2.

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Answer:

A: -8

Step-by-step explanation:

4 * -2 is -8, and A is on that point.

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2 years ago

For which nonnegative value of x is the expression 5+x/25-x^2

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2 years ago

Triangle ABC has side length of 8 inches 12 inches and 15 inches which of the following could be the side lengths of a triangle

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Answer:

D is the answer

Step-by-step explanation:

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2 years ago

You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,

$m=\frac{21-33}{9-5}$

$m=\frac{-12}{4}=-3$

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

$33=-3\cdot 5+b$

$33=-15+b$

$33+15=b$

$48=b$

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

$y=-3x+48$

Therefore, our desired equation will be $y=-3x+48$ .

6 0

2 years ago

You are in a bike race. When you get to the first checkpoint, you are 25 of the distance to the second checkpoint. When you get

Rom4ik [11]

Question:

You are in a bike race. When you get to the first checkpoint, you are 2/5 of the distance to the second checkpoint. When you get to the second check point, you are 1/4 of the distance to the finish. If the entire race is 40 miles, what is the distance between the start and the first check point?

Answer: 4 miles

Step-by-step explanation:

Let distance between start to first checkpoint = x

First checkpoint to second checkpoint = 2/5 of x

Distance of start to checkpoint 1 = ( 2/5 of start to checkpoint 2)

Distance of start to checkpoint 2 = (1/4 of start to finish)

If start to checkpoint 2 = 1/4 of start to finish

Then,

Distance of start to checkpoint 1 = ( 2/5 * 1/4 of start to finish)

Distance of start to checkpoint 1 = 2/20 of start to finish = 1/10 of start to finish

Entire race = 40 miles = distance from start to finish

1/ 10 of 40

= ( 1/10) × 40

= 4 miles

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2 years ago