y=12x + 18


If the value of x increases by 1, what happens to the value of y?​

Answer:

[tex]\large\boxed{\dfrac{13}{20}=0.65}[/tex]

Step-by-step explanation:

[tex]\bold{METHOD\ 1}\\\\\dfrac{13}{20}=\dfrac{13\cdot5}{20\cdot5}=\dfrac{65}{100}=0.65\\\\\bold{METHOD\ 2}\\\\\dfrac{13}{20}=13:20\qquad\text{use the calculator or long division}\\\\=0.65[/tex]

Hello There!

[tex]\frac{13}{20}=0.65[/tex]

13÷20≈0.65

Answer:

6 miles

Step-by-step explanation:

4+2.75m=20.50

-4              -4

2.75m=16.50/2.75

m=6

Answer:

6 miles

Step-by-step explanation:

So the total charge is $20.50, what I personally did was

Subtract $4 from $20.50

You get $16.50

Now divide $16.50 by $2.75

There's your miles

Answer:

Measure of central tendency (center)

it is called median

Answer:

y + 8 = 6(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 6 and (a, b) = (- 1, - 8), hence

y - (- 8) = 6(x - (- 1)), that is

y + 8 = 6(x + 1)

ANSWER

[tex]y + 8=6(x + 1)[/tex]

EXPLANATION

The point-slope form of an equation is given by the formula:

[tex]y-y_1=m(x-x_1)[/tex]

Where

[tex](x_1,y_1)[/tex]

is a point on this line and

[tex]m[/tex]

is the slope of the line.

From the question, the line has slope 6 and passes through (-1,-8).

This means that

[tex]x_1=-1[/tex]

[tex]y_1=-8[/tex]

and

[tex]m = 6[/tex]

We substitute these values into the point-slope formula to get:

[tex]y- - 8=6(x- - 1)[/tex]

We simplify to get:

[tex]y + 8=6(x + 1)[/tex]

Answer:

simple random

In a simple random sample, individuals all have an equal chance of being selected, ensuring unbiased and representative data. Thus, option a. is correct.

In a simple random sample, individuals all have an equal chance of being selected, and all samples have an equal chance of being selected. This method ensures that each member of the population is equally likely to be chosen, resulting in unbiased and representative data.

Other sampling methods like cluster sampling and stratified sampling do involve randomness but in different ways. For instance, cluster sampling involves selecting entire clusters, such as departments or geographical areas, at random and including all members from those clusters in the sample.

In contrast, stratified sampling involves dividing the population into strata based on characteristics and then randomly sampling from each stratum.

Thus, option a. simple random sample is correct.

Answer:

b.  (3, 0.5).

Step-by-step explanation:

x + 2y = 4

2x - 2y = 5

Adding the 2 equations eliminates the y:

3x = 9

x = 3

Substitute fro x in the first equation:

3 + 2y = 4

2y = 1

y = 0.5.

Option B is correct, (3, 0.5) is the solution of the  system of equations.

Two or more expressions with an Equal sign is called as Equation.

The two equations are

x+2y=4...(1)

2x-2y=5...(2)

Add equation 1 and 2

x+2y+2x-2y=4+5

3x=9

Divide both sides by 3

x=3

3+2y=4

Subtract 3 from both sides

2y=1

y=1/2

y=0.5

Hence, option B is correct, (3, 0.5) is the solution of the  system of equations.

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The answer is:

D. The volume is the product of the area of the base, (x+8)(x-3) and the height,  2x-5

From the statement we know that the volume of the block is given by the following expression:

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

We also know that we can calculate the volume of a block using the following equation:

[tex]Volume=AreaOfTheBase*Height[/tex]

So, from the given picture we know that:

[tex]AreaOfTheBase=Length*Width=(x+8)(x-3)\\Height=2x-5[/tex]

Hence, we have that the correct option is:

D. The volume is the product of the area of the base, (x+8)(x-3) and the height,  2x-5

Have a nice day!

Answer:

x= 1, -2/3

Step-by-step explanation:

Answer:

G(2+h)=3(2+h)^3

Step-by-step explanation:

We need to put the value of the required digit , we have to find the value of . So go on solving and you will get your answer.

The factorized form of the given polynomial is (3x + 4)(3x - 4). Using one of the factorization methods of polynomial, the result is obtained.

Writing a polynomial as the product of its factors (monomial, binomial or and so on) is called the factorization of the polynomial.

There are different methods of factorization. Some of them are the grouping method, GCF method, the difference of squares method, etc.

The given polynomial is  [tex]9x^2-16[/tex]

Using the difference of squares method we can write the given polynomial as

[tex]9x^2-16 = (3x)^2-(4)^2[/tex]

We know that difference between any two squares is

[tex]a^2-b^2=(a+b)(a-b)[/tex]

So,

[tex]9x^2-16[/tex] = (3x + 4) (3x - 4)

Therefore, the factors of the given polynomial are (3x + 4) and (3x - 4).

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Answer:

She can read 180 pages in 4 hours

45*4=180

Carol can read 180 pages in four hours.

Simply multiply the rate (45 pages/hour) by the time (4 hours) to get 180 pages/4 hours.

Answer:

Option b: 6√3

Step-by-step explanation:

Given expression is:

[tex]\sqrt{36*3}[/tex]

We have to factorize the radicand in order to solve the given radical

So,

[tex]= \sqrt{3*3*2*2*3}[/tex]

In order to solve the square root pairs are made:

[tex]=\sqrt{2^2 * 3^2 * 3}[/tex]

To evaluate the square root, the exponents are multiplied by 1/2

[tex]= 2^{(2*\frac{1}{2})} *3^{(2*\frac{1}{2})} * 3^{(\frac{1}{2})}\\=2*3*\sqrt{3} \\=6\sqrt{3}[/tex]

Hence, option b is correct ..

Answer: b

Step-by-step explanation: b

Answer:

The correct answer is last option (6x)² - (5)²

Step-by-step explanation:

It is given an expression in variable x,

36x² - 25

To find the equivalent expression of  36x² - 25

We have, 36 = (±6)²  and 25 = (±5)²

36x² - 25 can be written as,

36x² - 25 = (±6x)² - (±5)²

From the given options we get the correct answer is last option

(6x)² - (5)²

Answer:

D

Step-by-step explanation:

Answer: (8, -7)

Step-by-step explanation:

Answer:

(8,-7)

Step-by-step explanation:

Answer:

isosceles because only two sides are equal

Answer:

Step-by-step explanation:

Before we can determine which measure of central tendency is the best we need to determined whether data set is skewed or not.

We can determine the skewness, if we know at least the median and the mean.

The array of the above data set is,

16,18,28,29,35,36,37,38,40,41,44,66,68,72

The Median of the above array is  

\frac{37 + 38}{2} = \frac{75}{2} = 37.5  

The mean is

\frac{16 + 18 + 28 + 29 + 35 + 36 + 37 + 38 + 40 + 41 + 44 + 66 + 68 + 72}{14} = \frac{532}{14} = 38

Since the mean and the median are not the same, the distribution is skewed.

<b>For a skewed distribution, the best measure of central tendency is the median.</b>

To one decimal place, the median is;

37.5

NB: If the distribution is not skewed then it is normal. In a normal distribution the median is equal to the mean. The mode is considered the best measure of center in this case.

Step-by-step explanation:

The median of a data set is the measure of center that is the middle value when the original data values are arranged in order of increasing (or decreasing) magnitude

Answer:

(m+5)(m^2-5m+25)

Step-by-step explanation:

x^3+y^3=(x+y)(x^2-xy+y^2)

x^3+125

x^3+5^3=(x+5)(x^2-5x+5^2)

x^3+5^3=(x+5)(x^2-5x+25)

So answer is

(m+5)(m^2-5m+25)

Answer:

My mom drives about 120 miles, grandpa: 160, and dad: 200

Step-by-step explanation:

Answer:

My dad drives about 80

Step-by-step explanation:

He only goes shopping and takes me to school.

[tex](x-1)(x-3)=x^2-3x-x+3=x^2-4x+3[/tex]

Answer:

Step-by-step explanation:

y=6x-2

y=6x-4

6x - 2 = 6x - 4

6x -6x = -4+2

0 = -2  ....false

no solutions

Answer:

A. 3x - 1 + [3x - 1]⁻¹

Step-by-step explanation:

Use Polynomial Long Division to arrive at this answer.

**[3x - 1]⁻¹ = 1\[3x - 1]

Answer:

A. 236

B. 164

Step-by-step explanation:

18% of 200= 36

200+36=236

200-36=164

Answer:

A. 236

B. 164

Step-by-step explanation:

To solve it first you need to find what 18% of 200 is. To do that take the 18% and make it a decimal % is out of 100, so 18/100 = .18. Then to find how much 18% out of 200 is, multiply .18 * 200. You should get 36. Then you can add and subtract that from 200 to get 18% more and 18% less.

Answer:

0.03

Step-by-step explanation:

First you should find what is 20% of 2

This can be written as ;

[tex]=\frac{20}{100} *2=\frac{40}{100}\\ \\\\=\frac{40}{100} =0.4[/tex]

Let now find 3/7

[tex]\frac{3}{7} =0.4285\\\\\\=0.43[/tex]

Get the difference in the values

[tex]0.43-0.40=0.03\\\\\\[/tex]

You can see 3/7 is 0.03 larger than 20% of 2.

Answer:

50

Step-by-step explanation:

Hello There!

There are 50 states in the United States

Alabama

Alaska

Arizona

Arkansas

California

Colorado

Connecticut

Delaware

Florida

Georgia

Hawaii

Idaho

Illinois Indiana

Iowa

Kansas

Kentucky

Louisiana

Maine

Maryland

Massachusetts

Michigan

Minnesota

Mississippi

Missouri

Montana Nebraska

Nevada

New Hampshire

New Jersey

New Mexico

New York

North Carolina

North Dakota

Ohio

Oklahoma

Oregon

Pennsylvania Rhode Island

South Carolina

South Dakota

Tennessee

Texas

Utah

Vermont

Virginia

Washington

West Virginia

Wisconsin

Wyoming

Answer:

34,560

Step-by-step explanation:

Started of with 20 and earned 12%  each year.

12% is just 12 as a whole number

so from that 20  12x12x12=1,728

1,728x20=

34.560

Final answer:

To find the garden's width, factor the area trinomial to match the given length of the garden. The width is represented by the other factor, which in this case is g - 6.

Explanation:

The area of a garden is given by the trinomial [tex]g^2[/tex] - 2g - 24, and the garden's length is g + 4. To find the garden's width, we need to factor the trinomial such that it is the product of two expressions, one of which must be the length (g + 4).

Factoring [tex]g^2[/tex] - 2g - 24, we look for two numbers that multiply to -24 and add up to -2. These numbers are -6 and +4. So, we can factor the area trinomial as:

(g - 6)(g + 4) = [tex]g^2[/tex] - 2g - 24.

Since the length of the garden is g + 4, the other factor, g - 6, must represent the width of the garden. Thus, the garden's width is g - 6.

Answer:

The equation y = 1 - 2x is represented by this table.

The correct answer is A.

Answer:

x=-16/3 (-5.33)

Step-by-step explanation:

3(x-2)+4x=10(x+1)

3x-6+4x=10x+10

7x-6=10x+10

-6-10=10x-7x

-16=3x

x=-16/3

Answer: [tex]x=-\frac{16}{3}[/tex]

Step-by-step explanation:

Given the equation [tex]3(x - 2) + 4x = 10(x+ 1)[/tex], you need to solve for the variable "x":

Apply Distributive property:

[tex]3x - 6 + 4x = 10x +10[/tex]

Add the like terms:

[tex]7x - 6= 10x+10[/tex]

Subtract 10 to both sides of the equation:

[tex]7x - 6-10= 10x +10-10\\\\7x-16=10x[/tex]

Subtract [tex]7x[/tex] from both sides:

[tex]7x-16-7x=10x-7x\\\\-16=3x[/tex]

And finally divide both sides by 3:

[tex]\frac{-16}{3}=\frac{3x}{3}\\\\x=-\frac{16}{3}[/tex]

i need a picture if im going to help

The intersection of lines M and T is the point where the lines meet or cross over each other.

To find the intersection, solve the system of equations formed by the two lines. Once you have the coordinates of the intersection point, name it accordingly.

The intersection of two lines, M and T, is the point where the two lines meet or cross over each other.

To find the intersection, we need to determine the coordinates of the point where the lines M and T intersect.

We can find the intersection by solving the system of equations formed by the equations of the two lines.

The system of equations will have two variables (x and y) and we can solve for their values.

Once we have the coordinates of the intersection point, we can name it accordingly.

For example, if the intersection point has coordinates (3, 4), we can name it as point P(3, 4).

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