All categories

3 years ago

How would you graph the solution set of x - 6 < -3?

Mathematics

1 answer:

igomit [66]3 years ago

3 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-6 < -3$

Solve for x

Adds 6 both sides

$x-6+6 < -3+6$

$x < 3$

The solution is the interval (-∞,3)

All real numbers less than 3

In a number line the solution is the shaded area at left of x=3 (open circle)

The number 3 is not included in the solution

see the attached figure to better understand the problem

You might be interested in

There are no results for an 8 sideded fair die with faces labelled 2,3,3,4,7, 7,7,7 and 9 is rolled finmd the probibilty sou;lti

dem82 [27]

Answer:

Probability of getting a number which is not 2 = 7/8

Step-by-step explanation:

Given;

Total number of faces = 8

Number of face with 2 = 1

Number of face with 3 = 2

Number of face with 4 = 1

Number of face with 7 = 3

Number of face with 9 = 1

Find:

Probability of getting a number which is not 2

Computation:

Probability of not an event = 1 - [Number of favourable outcomes / Total number of outcomes]

Probability of getting a number which is not 2 = 1 - [1/8]

Probability of getting a number which is not 2 = [8-1] / 8

Probability of getting a number which is not 2 = 7/8

4 0

2 years ago

Which of the following expressions are factors of p(x)=60x4+24x3−45x2−18x?

Whitepunk [10]

The factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Step-by-step explanation:

We need to find factors of the expression $p(x)=60x^4+24x^3-45x^2-18x$

Solving the expression: $p(x)=60x^4+24x^3-45x^2-18x$

Taking 3x common:

$p(x)=3x(20x^3+8x^2-15x-6)$

Now, factor by grouping, the terms inside the bracket.

$p(x)=3x((20x^3+8x^2)+(-15x-6))$

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

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

So, the factors are 3x, 4x^2-3 and 5x+2

So, Option B, C and F are correct.

Keywords: Finding Factors

Learn more about finding factors at:

#learnwithBrainly

5 0

3 years ago

Which of the following is an arithmetic sequence? <br> 0,2,4,6<br> 1,2,4,8<br> 1,4,8,13

STatiana [176]

It is probably 0,2,4,6 because other ones go "out of the sequence".

Hope this helps. :)

8 0

3 years ago

Only green and red t-shirts are on sale at a store. For every 9 green t-shirts on sale, there are 10 red t-shirts on sale.

damaskus [11]

10 because you add 9 + 10=19 190 divided by 19=10

3 0

3 years ago

What is the value of (6a-2)

DanielleElmas [232]

It totally depends on the value of 'a', and if 'a' changes, then (6a-2) immediately changes too. Whatever 'a' is at the moment, (6a-2) is 2 less than 6 times 'a'.

7 0

3 years ago