A teacher writes the expression 3 (6m + 3) and asks for students to write equivalent expressions. The table shows the students' responses.
Student
1
2
3
4
Response
9m + 6
18m + 3
18m + 9
21m
Select the best answer from the choices below:
Student 1 is correct because distributing the 3 in the teacher's expression yields Om + 6
Student 2 is correct because distributing the 3 in the teacher's expression yields 18m + 3
Student 3 is correct because distributing the 3 in the teacher's expression yields 18m + 9
Student 4 is correct because distributing the 3 in the teacher's expression, and then adding the two terms together yields 21m

Answer: B

Step-by-step explanation:

We can see that the graph is being compressed, so f(x) is being transformed into f(ax), where 0<a<1.

The only option that satisfies this is y=f(x/2).

Answer:

The probability of pulling a green marble is 0.58 (58%).

Step-by-step explanation:

Total marbles: 36

[tex]\frac{21}{36} = 0.58[/tex]

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

[tex]-5x^3 +4x^2- 5x[/tex]

This resultant expression is polynomial.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The given expression in the problem is,

[tex](3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]

Let the resultant polynomial of the above expression is f(x). Therefore,

[tex]f(x)=(3x^3 +2x^2 - 5x) - (8x^3 - 2x^2).[/tex]

To solve the above polynomial, open the bracket by multiplying the sign with inside values as,

[tex]3x^3 +2x^2 - 5x - 8x^3 +2x^2[/tex]

Separate the same power terms of the variables as,

[tex]f(x)=3x^3- 8x^3 +2x^2 +2x^2- 5x\\f(x)=-5x^3 +4x^2- 5x[/tex]

The resultant polynomial which is the correct simplification and demonstration of the closure property of give expression is,

[tex]-5x^3 +4x^2- 5x[/tex]

This resultant expression is polynomial.

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Answer: 7

Step-by-step explanation:

Let the unknown length be x

Cut the polygon into 2 pieces

6 * 24 + x * (18 - 6) = 228

144 + 12x = 228

12x = 84

x = 7

The length of the side labeled with a question mark in the given polygon is 7 meters.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, the area of this polygon is 228 square meters.

We know that, the area of a rectangle is Length×Breadth

Area of a large rectangle = 24×6

= 144 square meters

Let the length of unknown side be x.

Area of a small rectangle = 12×x

Total area = Area of a large rectangle+Area of a small rectangle

228=144+12x

12x=228-144

12x=84

x=84/12

x=7 meters

Therefore, the length of the side labeled with a question mark is 7 meters.

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The volume of a cylinder is the amount of space in it

The radius of the cylinder is 3 feet

The volume of a cylinder is:

[tex]V = \pi r^2 h[/tex]

Where r represents the radius, and h represents the height

So, we have:

[tex]108\pi = \pi r^2 * 12[/tex]

Divide both sides by 12pi

[tex]9 = r^2[/tex]

Take the square roots of both sides

3 = r

Rewrite as:

r = 3

Hence, the radius of the cylinder is 3 feet

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Answer:

x=9

Step-by-step explanation:

first, subtract 3 from both sides so 2x^2=36, then, divide both sides by 2 so x^2=18 and divide 18 by 2 and 9^2=18

Answer:

x = ± 3[tex]\sqrt{2}[/tex]

Step-by-step explanation:

2x² + 3 = 39 ( subtract 3 from both sides )

2x² = 36 ( divide both sides by 2 )

x² = 18 ( take square root of both sides )

x = ± [tex]\sqrt{18}[/tex] = ± [tex]\sqrt{9(2)}[/tex] = ± ( [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] ) = ± 3[tex]\sqrt{2}[/tex]

the answer will be

48$ dollars

Answer:

20 + 6x

$44

Step-by-step explanation:

So 5 CD's for 20 dollars is $4 ea. then each one added will be +6 with the variable (x).

so you can't have the first 5 becuase x is used for every one OVER 5.

So

$ or price = 20 + 6x

plug 4 in because 9-5 = 4

20 + 6(4)

20 + 24

$44

Step-by-step explanation:

First problem looks right. Although he started with 145, not 25. Savings and checking combined is the total amount of cash he had before he started working, which is why it's added to the total amount of money he has.

He saves 55 every week. because the multiplier on w, which is weeks is 55. So for every week 55 is added to the multiplication. Ex 2 weeks is 110, 3 is 165, 4 is 220 etc..

He wanted a total of 650 usd. Doesn't matter where it is the total is what matters. Doesn't matetr if hes spending,  storing or even burning the money..
So first make 55w+145=650 then solve

Minus 145 from both sides

55w = 505

About 9 weeks one day and 6 hours. This is a rough estimate since the answer is 9.18181818 weeks.

Answer:

-40

Step-by-step explanation:

HOPE THIS HELPS BRAINLIST

Answer:

Parallel

Step-by-step explanation:

Answer:

parallel

Step-by-step explanation:

Answer:

slope = 1/-13

Step-by-step explanation:

Answer:

A. True

B. True

C. False

Step-by-step explanation:

Hope that helps!

Answer:

c

Step-by-step explanation:

the exponent 5 is multiplied by 4 then the other exponent 2 is also  multiplied by 4

Answer:

C

Step-by-step explanation:

using the rule of exponents

[tex](a^{m})^n[/tex] = [tex]a^{mn}[/tex]

[tex](\frac{2^{5} }{x^2})^4[/tex]

= [tex]\frac{2^{5(4)} }{x^{2(4)} }[/tex]

= [tex]\frac{2^{20} }{x^{8} }[/tex] → C

Answer: circumference

Step-by-step explanation: you’re welcome

Answer:

circumference because it

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

-1 - (-4) / -1 - (-2)

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

Answer:

40%

Step-by-step explanation:

Flips 600 times, that's the total flips. ###/600

Heads flipped 240 times, and that's what you're looking for. 240/600

240/600 simplified is 2/5 (0.4)

You're looking for a frequency/percentage so you're looking at the decimal

Decimal number = Percentage

So it'll be 40%

Answer:

What math level is this?

Answer:

2nd choice

Step-by-step explanation:

The table is an illustration of unit rates

Box 2 has the least price per ounce

The given parameters are:

Box 1 = $18.97 per 150 Oz

Box 2 = $11.97 per 100 Oz

Box 3 = $8.97 per 56 Oz

Divide the price by the sizes, to get the rates

[tex]Box 1 = \frac{18.97}{150} =0.126}[/tex]

[tex]Box 2 = \frac{11.97}{100} =0.1197}[/tex]

[tex]Box 3 = \frac{8.97}{56} =0.160[/tex]

By comparison, 0.1197 is the least

Hence, box 2 has the least price per ounce

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Answer:

Step-by-step explanation:

Use the law of sines:

Find the missing angle:

Use the law of sines to find the length of b:

Answer:

Hey dude! Im not sure how to figure out the angle on my own so try using math-way algebra it works most of the time!

sorry i cant help any more!

Answer:

s is the independent variable and d is the dependent variable.

Step-by-step explanation:

--------- :)

Answer:

5x

Step-by-step explanation:

6x - ? = x

? = 6x - x

? = 5x

Hope it helps ⚜

[tex]6x - ? = x\\-?=x - 6x\\-?=-5x\\\Longrightarrow \: \: ?=5x[/tex]

[tex]\heartsuit \: \sf\: Jenkai \: \bigstar[/tex]

Answer:

Volume of a sphere is (pi)*(r^2)*(h), where r is raduis, h is height, and pi is 3.14.

Diameter is 24/2 = 12

We just need to plug everything in.

(3.14)*(12^2)*(14) = 6330.24

I hope this helped. :)))

=^._.^=

Answer:

y=-8

Step-by-step explanation:

2y+4=62y+124=6

2y-62y=124-4=6

-60y=120=6

divide both side by -60

y=120/-60=6

y=-2=6

y=-2-6

y=-8

5x+2 - (2x - 5)

= 5x + 2 - 2x + 5

= 3x + 7

I am pretty sure that it is 3x+7

The car that is speeding up is car A.

The car that is slowing down is car C.

The car that is maintaining a constant speed is car B.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

From the graph, we see that,

Car A speed is increasing with time.

Car B is maintaining a constant speed with time.

Car C is decreasing its speed with time.

Thus,

Car A is speeding up.

Car C is slowing down

Car B is maintaining a constant speed.

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Answer:

Step-by-step explanation:

Answer:

42 square cm

Step-by-step explanation:

6 x 14 = 84. 84 divided by 2 = 42.

a = b x h divided by 2