Factorise Fully:
21b-3b^2

Answer:

12

Step-by-step explanation:

You make a T-chart and list out all the multiples and you find which multiple is the smallest number they both have! For example, 4 and 6 have 12 as their least common multiple because 3 x 4 is 12 and 2 x 6 is 12, that’s the smallest number they both have in common.

Step-by-step explanation:

[tex]3(4x - 3) = - 4 + 7[/tex]

Expand :

[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]

Simplify : Add values

[tex]12x - 9 = 3[/tex]

Collect like terms and simplify

[tex]12x = 3 + 9 \\ 12x = 12[/tex]

Divide both sides of the equation by 12

[tex] \frac{12x}{12} = \frac{12}{12} [/tex]

Simplify

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

Please consider Brainliest :)

The statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

A line segment, in geometry, is defined as a line or part of a line having two endpoints.

A diagram showing a line segment with two distinct endpoints have been shown in the attachment below.

A line segment can also contain points between the two endpoints on the line.

Therefore, the statement that defines what a line segment is would be: B. All points between two given endpoints including the endpoints.

Learn more here:

https://brainly.com/question/24270297

Answer:

215571 hope this helps :)

Answer:

to be fair don't ask me plz  

Step-by-step explanation:

Answer:

c = 15

Step-by-step explanation:

a^2 + b^2 = c^2

This formula is the Pythagorean Theorem, which is used to find the length of one of the three sides to a right triangle. a and b are the two short sides, while c is the hypotenuse (long diagonal side).

Given a and b we are able to solve for c

c^2 = 9^2 + 12^2

c^2 = 81 + 144

c^2 = 225

Square root both sides to cancel the square

c = 15

Answer:

15

Step-by-step explanation:

Use this equation

a^2+b^2=c^2

so,

9 squared is 81 and 12 squared is 144.

81+144=225

The square root of 225 is 15.

Answer:

2x-54n

Step-by-step explanation:

Answer: A is the 8-pack, B is the single roll, C is the 100 pack, D is the 50 pack.

Step-by-step explanation:

For each of these, multiply the smaller number by a number that has a product of the bigger number, example D. multiply 25 by 2 to get 50, then compare the totals.

Answer:

the first one is an 8 pack of glue sticks

the second one is 1 tape roll for .19

the third one is 100 pack of pencils for 4.88

the fourth one is a 25 pack of paper clips

Step-by-step explanation:

Answer:

Which graph represents the function f(x) = 4|x|?

B is the correct answer

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

Edg2021

Answer: D) y ≤ 5/2x + 5

The slope is 5/2 and the y-intercept is 5. The area shaded should be to the right of the line because it is less than or equal to.

Hope this helps!

Answer: x = 24

Step-by-step explanation: coz I juss know

Answer:x=24

Step-by-step explanation:hope this helps!

Answer:

The volume will be four times the original volume.

Step-by-step explanation:

V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.

Answer:

[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.

Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.

A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.

So, equation becomes [tex]7.3x+11.3y=500[/tex]

For [tex]x[/tex]-intercept, put [tex]y=0[/tex]

[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]

So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

For [tex]y[/tex]-intercept, put [tex]x=0[/tex]

[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]

So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]

[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]

[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.

[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.

Answer:

Step-by-step explanation:

10hours

Answer:

24%

Step-by-step explanation:

Step 1: Shift the decimal point two places to the right: 0.24 → 2.4→ 24.

Step 2: Add a percent sign: 24%

and that's how you get your answer

The .24 written as a percent is 24%.

To convert .24 to a percent, multiply it by 100.

.24 ×100 = 24

When we express a number as a percent, it represents a proportion out of 100. In this case, .24 as a percent means that .24 is equivalent to 24 out of 100 or 24%. The percent symbol (%) indicates that the number is being represented as a fraction of 100. This can be interpreted as .24 representing 24 parts out of 100, or 24 hundredths.

To know more about percent here

https://brainly.com/question/31323953

#SPJ6

Answer:

An equation using the slope-intercept form would be y=mx+b. M would be the slope and b would be the intercept. For example, if slope:5 and intercept:6 the equation would be y=5x+6. Hope I helped!

Answer:

x+(x+7)=91

Step-by-step explanation:

Hope this helps :)

Answer:   your answer for the smaller number is 38.5 and the larger number is 52.5.

Step-by-step explanation:

To make sure it's right, I just add the numbers together.

Your Problem:

91 ÷ 2 = 45.5

45.5 + 7 = 52.5

45.5 - 7 = 38.5

52.5 + 38.5 = 91

Answer:

44 km

Step-by-step explanation:

8/5 is the conversion between m and km which is 1.6 and then we can simply multiply 27.5 times 1.6 which is 44 km I hope this helps.

Answer:

15

Step-by-step explanation:

15 is three quarters of 20 and a gradient of a graph is how much the y axis increases when you increase the x axis value, so if it increases by a value then in this case we need 3/4 of this value, hence 15

Answer:

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x along the line.

Try this Adjust the line below by dragging an orange dot at point A or B. The slope of the line is continuously recalculated. You can also drag the origin point at (0,0).

Step-by-step explanation

If it is wrong then I'm sorry

Answer:

√600 is around 24.5 while ∛56 is around 3.83

Step-by-step explanation:

Method: TRIAL AND ERROR

For √600, we can follow trial and error method:

30^2 is 900, so too big

20^2 is 400, so too small

25^2 is 625, too big

24^2 is 576, too small

Considering that 600 is between 24^2 and 25^2, we can try in between:

24.5^2 is 600.25, which is very close, therefore 24.5 is the answer

For ∛56, we can also follow trial and error method:

5^3 is 125

4^3 is 64

3^3 is 27

Considering that 56 is somewhere between 3^3 and 4^3, and that it's much more closer to 4^3, we can try 3.6^3, which is: 46.656;

3.7^3 is 50.6

3.8^3 is 54.8

3.9^3 is 59

3.85^3 is 57

3.84^3 is 56.6 (still larger)

3.83^3 is 56.1

So the answer is 3.83

But the method above works when using calculator, best for a calculator exam. If calculator is not allowed, you can find the difference between the two possible answers (e.g: 27 and 64 (3^3 and 4^3) following the above, to find out ∛56.) Of course, 56 is much nearer to 4^3, so we can assume that the answer is around 3.8.

Hope this helped. :)

~ Janice, year 10

Answer:

Step-by-step explanation:

Given that 8 rolls cost $4.80

let us compute how much 1 roll will cost (that is the unit cost of a roll)

so  8 rolls cost $4.80

     1 roll will cost x

x= 4.8/8

x=$0.6

so the paper tower cost $0.6 per roll (this is the rate)

therefore 6 rolls will cost

=6*0.6

=$3.6

Answer:

x=14

Step-by-step explanation:

3x-15=27 (add 15 to both sides)

3x=42 (divide both sides by three)

x=14

The required number is -4.

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now it is given that, 15 is subtracted from three times a certain number,

the result is 27.

Now let x be the number.

Three times the number = 3x

Therefore, 15 is subtracted from three times a certain number = 15 - 3x

Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,

15 - 3x = 27

Subtracting 15 both the side we get,

15 - 3x - 15 = 27 - 15

⇒ -3x = 12

or, x = -12/3

⇒ x = -4

which is the required number.

Thus, the required number is -4.

More about linear equation :

brainly.com/question/16584198

#SPJ2

Answer:

-28*F, hope this helps!

Answer:

-28 F

Step-by-step explanation:

please give the other guy brainliest :))))

Answer:

So using process of elimination it isnt possible for it to be AA or not similiar bc they are similiar since there vertical angles so were left with picking between SSS and SAS which I know that there is an angle that is congruent which is at the midpoint so if i were you I would put SAS similarity.

Step-by-step explanation:

I just took a test of this lesson so I hope im right.

Step-by-step explanation:

Hope this helps, and sorry for the image, my phone is glitchy.

cheers!!!

Answer:

it the 3rd one or the first

Step-by-step explanation:

The year of the empire fell = 1610.

We are given x as a variable that represents the year after the given year 1610.

We need to setup an inequality for this situation.

Please note: The year after the year number 1610 will have a number that greater than 1610.

Let us make a statement for inequality to be written.

"The year after the 1610 is greater than 1610".

The year after the 1610 is x and gerater than symbol is >.

So, we can setup an inequality as:

x > 1610 : Read as x is greater than 1610.