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3 years ago

In which section of the number line is 32−−√?

Mathematics

1 answer:

nirvana33 [79]3 years ago

6 0

where's the number line?

maybe u can attach it at the comments:)

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Solve the inequality. Graph the solution set, and write it using interval notation. |5x+4|less than or equal to 10

aniked [119]

we have the inequality

$\lvert5x+4\rvert\leq10$

step 1

Find out the first solution (positive case)

$\begin{gathered} +(5x+4)\leq10 \\ 5x\leq10-4 \\ 5x\leq6 \\ x\leq\frac{6}{5} \\ x\leq1.20 \end{gathered}$

The first solution is all real numbers less than or equal to 1.20

Interval (-infinite,1.20]

step 2

Find out the second solution (negative case)

$-(5x+4)\leq10$

Multiply by -1 both sides

$\begin{gathered} (5x+4)\ge-10 \\ 5x\ge-10-4 \\ 5x\ge-14 \\ x\ge-\frac{14}{5} \\ x\ge-2.8 \end{gathered}$

The second solution is all real numbers greater than or equal to -2.8

the interval [-2.8, infinite)

step 3

Find out the solution to the given inequality

The solution is

[-2.8, infinite) ∩ (-infinite,1.20]=[-2.8,1.20]

the solution is the interval [-2.8,1.20]

see the attached figure to better understand the problem

8 0

1 year ago

Which one the answer?

kifflom [539]

D. Hope this helps ;)

5 0

3 years ago

You are playing a new video game. The table shows the proportional relationship between the number of levels completed and the t

Lana71 [14]

The time to complete 2 levels is (c) 60 minutes

<h3>How to determine the time to complete 2 levels?</h3>

The table of values is given as

Number of Levels Time (hours)

2 ?

3 1.5

Express the blank (?) with y

Number of Levels Time (hours)

2 y

3 1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes

Read more about linear equation at

brainly.com/question/13738662

#SPJ1

7 0

1 year ago

Veronica’s velocity was measured as 4.3 m/s. She displaced 20 meters in 4.7 seconds. Which piece of information is missing for t

telo118 [61]

We are given displacement = 20 meters.

Time given = 4.7 seconds.

Velocity = 4.3 m/s.

Please note : Velocity is a vector quantity. A vector quantity depends on magnitude and direction as well.

We are given magnitude of displacement = 20 meter and time 4.7 seconds but the direction is missing there.

If it would be in forward direction it would be positive and if it would be in backward direction, it would be of negative.

Therefore, <u>"B)the direction"</u> is correct option.

4 0

3 years ago

Read 2 more answers

Find the inverse function for f(x)=sqrt2x-6 picture below

Olenka [21]

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: $\sqrt{2x - 6}$

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2

6 0

3 years ago