Which option is is an example of expository writing?

Answer:

[tex]y-(-2) = 4(x-1)[/tex]

Step-by-step explanation:

Point-slope form of the equation of a straight line is:

[tex]y-y_0 = m(x-x_0)[/tex] (1)

The two points given in the problem are:

[tex](x_0,y_0)=(1,-2)\\(x_1,y_1)=(2,2)[/tex]

So, the slope of the line is given by:

[tex]m=\frac{y_1 -y_0}{x_1 -x_0}=\frac{2-(-2)}{2-1}=\frac{4}{1}=4[/tex]

And substituting into eq.(1), we find:

[tex]y-(-2) = 4(x-1)[/tex]

The constant of variation is usually given using the letter k.

To find K you would divide Y by x, so the equation becomes k = Y/x.

First find k using the first y and x values provided:

k = 10/5 = 2

Now you know k, you can solve for y when x = 2:

using the equation k =y/x, replace k and x with the known values and solve for y:

2 = y/2

y = 2*2

y = 4

Answer: Linear equation y=2x

Step-by-step explanation:

If x=2

Then y=2(2)

y=4

Step-by-step explanation:

x might equal 6 because 21 divided by 7 is 3 so u multiply 3 by 2. You get 6. i think x equals 6. Hope this is right and hope this helped!

Answer:

6

Step-by-step explanation:

y times 3 equals 21 because 7 times 3 equals 21 so:

x times 3 equals 6 because 2 times 3 equals 6

Answer:

C = 40.2124

Step-by-step explanation:

The formula for circumference is

C = 2*pi*r

where r is the radius.

Substitute what we know.

C = 2 * pi * 6.4

C = 12.8 * pi

If we use substitute pi in, we get

C = 40.2124

We have the triangle 30° - 60° - 90°.

The sides are in proportion: 2 : √3 : 1

(look at the picture).

[tex]2a=14[/tex]       divide both sides by 2

[tex]a=7[/tex]

[tex]a\sqrt3=7\sqrt3[/tex]

The area of a trinagle AFD:

[tex]A_{\Delta}=\dfrac{1}{2}(7)(7\sqrt3)=\boxed{\dfrac{49\sqrt3}{2}}[/tex]

Final answer:

The speed of the slower car is 87 km/h. This was calculated by setting up an equation with the sum of the distances traveled by both cars after 5 hours, which is 950 km, and solving for the speed of the faster car first, then finding the speed of the slower car.

Explanation:

To determine the rate of the slower car in a scenario where two cars travel toward each other from 950 kilometers apart and meet in 5 hours, we set up an equation based on the relative speeds and distances covered. Let the speed of the faster car = v km/h; therefore, the speed of the slower car would be (v - 16) km/h, since it's given that the slower car travels 16 km/h less than the faster one.

The sum of the distances traveled by both cars when they meet after 5 hours is 950 km. We can express this with the equation: 5v + 5(v - 16) = 950.

Solving for v:

Subtracting 16 km/h from the faster car's speed gives us the slower car's speed:

v - 16 km/h = 103 km/h - 16 km/h = 87 km/h.

Therefore, the rate of the slower car is 87 km/h.

Answer:

g(x) is translated 6 units down from f(x)

Step-by-step explanation:

given a function f(x) then f(x) + c represents a vertical translation

• If c > 0 then vertical translation up ↑

• If c < 0 then vertical translation down ↓

The slope-intercept form:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = -1 and the point (-1, 3). Substitute:

[tex]3=(-1)(-1)+b[/tex]

[tex]3=1+b[/tex]      subtract 1 from both sides

[tex]2=b\to b=2[/tex]

Answer: 23 minutes

Step-by-step explanation:

4x + 8 = 100

100 is 8 more than 4 times of minutes than last week.

X = minuted she studied last week.

Find x

4x = 100 - 8

4x = 92

x = 92/4

x = 23 minutes

Based on the problem, we form an equation 4x + 8 = 100 to represent the given situation. After solving this equation, we find that Jamyra spent 23 minutes studying last week.

The question is asking about the amount of time that Jamyra spent studying last week based on the information provided about this week. It's given that Jamyra spent 100 minutes studying this week and that this total was 8 more than four times the amount of minutes she studied last week.

We can form an equation from this information: 4x + 8 = 100, where 'x' is the time Jamyra spent studying last week. Subtract 8 from both sides to get 4x = 92.

Then, divide both sides of the equation by 4 to isolate 'x', and we get x = 23.

So, Jamyra spent 23 minutes studying last week.

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Answer:

The snow cone in a cup will hold more.

Step-by-step explanation:

Firstly, to find the area of the cone you need to know the formula:

[tex]\frac{1}{3}\pi r^{2} h[/tex]

So simply plug the values in:

[tex]\frac{1}{3}\pi 4^{2} 13[/tex]

= 217.81 = 218cm³

To find the area of a cylinder, you need to remember the formula:

The radius is half the diameter so:

Radius = 8 ÷ 2 = 4

[tex]\pi r^{2} h[/tex]

So simply plug these values in:

[tex]\pi 4^{2} 5[/tex]

= 251.33 = 251cm³

So this means that because the snow cone in a cup is 251cm³ whereas the traditional snow cone is only 218cm³, the snow cone in a cup will hold more.

Answer:

WOwwwzerzzzzZZZZZZZZZZZZZZZZZZZZ

Answer:I belive the sale price is $11.65

Step-by-step explanation:

$12.00-$0.35

sorry if im wrong

Put the values of x = 2, y = 2 and z = 2 to the expression (z)(yx)²+z:

[tex](2)(2\cdot2)^2+2=(2)(4)^2+2=(2)(16)+2=32+2=34[/tex]

Answer:

48 percent increase

Step-by-step explanation:

Answer:

2x+ 2.1 = 7.5

x=2.7

Step-by-step explanation:

The perimeter of an isosceles triangle with sides x and y is

2x+y = P

I put y as the single side since the question said y is the shortest side.  It should say shorter sides if the two sides with the same length are smaller than the third.

We know y =2.1 and P = 7.5

Substituting these values in, we get

2x+ 2.1 = 7.5

Subtract 2.1 from each side

2x+2.1 -2.1 = 7.5 -2.1

2x= 5.4

Divide each side by 2

2x/2 = 5.4/2

x = 2.7 m

Answer: William is 7 years old

Hope this helps, I can take the time to explain if needed:)

By creating a system of equations from the information given and solving for William's age, we determine that William is 7 years old.

The question presents a typical age-related algebra problem. We have three unknowns: William's age, his father's age, and his sister Mary's age. To solve this problem, we need to set up a system of equations based on the information provided.

Let's let W stand for William's age, F for his father's age, and M for Mary's age.

The first piece of information tells us that William is 1/6 as old as his father, so F = 6W.

The second piece says that William is 5 years older than his sister Mary, so W = M + 5.

Lastly, we know that the sum of all their ages is 51, so W + F + M = 51.

Now, we'll substitute F and M from the first two equations into the third equation:

W + 6W + (W - 5) = 51

This simplifies to:

8W - 5 = 51

Adding 5 to both sides gives us:

8W = 56

Dividing both sides by 8, we find:

W = 7

Therefore, William is 7 years old.

Answer: 4x² + 4x - 2 - [tex]\frac{3}{2x+3}[/tex]

Step-by-step explanation:

You can use either synthetic or long division.  I am using synthetic division:

2x + 3 = 0   ⇒   x = [tex]-\frac{3}{2}[/tex]

 [tex]-\frac{3}{2}[/tex]   |    4    10    4    -6

       |    ↓    -6    -6    3

            4     4    -2   -3  ← -3 is the remainder

            ↓     ↓     ↓

           4x² +4x  -2  ← factored polynomial

The old billionaire can distribute his nine estates among his three children in one possible way, with the conditions that each child must receive at least one estate no two children can receive the same number of estates.

This is a combinatorics problem in mathematics, specifically a variety problem. The billionaire has nine estates and three children. The conditions are that each child must receive at least one estate and no two children can receive the same number of estates.

Considering these conditions, the estates can be distributed in the following way: The first child can receive one estate, the second two, and the third child six. This is just one way to distribute the estates; there are several other combinations possible given the constraints.

To calculate the total number of possible distributions, we must consider all combinations. However, with the given constraints, there is only one possible way to distribute the estates among the three children.

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There are 18 possible ways for the billionaire to distribute his estates among his three children, ensuring that each child receives at least one estate and no two children receive the same number of estates.

To distribute the nine estates among the three children, we can use combinatorics.

Step 1: We give each child one estate each. This leaves us with six estates.

Step 2: We need to divide these six estates among the three children in such a way that no two children receive the same number of estates.

Case 1: If we distribute the six estates as 4-1-1 (four estates to one child, one estate to each of the other two children), we have 3 options to choose the child who receives four estates. Once that is chosen, there are 2 options for the child who receives one estate, and the remaining child will automatically receive one estate. So, in this case, we have 3 * 2 = 6 options.

Case 2: If we distribute the six estates as 3-2-1 (three estates to one child, two estates to another, and one estate to the remaining child), we have 3 options to choose the child who receives three estates. Once that is chosen, there are 2 options for the child who receives two estates and one option for the child who receives one estate. So, in this case, we have 3 * 2 * 1 = 6 options.

Case 3: If we distribute the six estates as 3-1-2 (similar to Case 2, but switching the number of estates for two of the children), we also have 6 options.

Therefore, the total number of possible ways to distribute the estates is 6 + 6 + 6 = 18.

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Answer:

14+22=Y

Step-by-step explanation:

Since it is 22 years from now, you would add 22 to your current age, 14, to get Y, the age.

The correct equation to find your age 22 years from now, if you are currently 14, is 14 + 22 = Y. Solving the equation gives Y equals to 36.

The correct equation that can be used to solve for your age, Y, in 22 years if you are currently 14 years old then the second option i.e., equation 14 + 22 = Y is the correct answer.

This equation represents an addition where you add the number of future years (22 years) to your current age (14 years old). When you solve this equation, Y equals to 36, which would be your age 22 years from now, assuming you're currently 14 years old.

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Answer:

<R = 158

Step-by-step explanation:

Supplementary angles equal 180 degrees.

<Q + <R =180

22 + <R = 180

Subtract 22 from each side

22-22 + <R = 180-22

R = 158

Answer:

Option 2 -  [tex]\angle R=158^\circ[/tex]

Step-by-step explanation:

Given : [tex]\angle Q[/tex] supp [tex]\angle R[/tex] and [tex]\angle Q=22^\circ[/tex]

To find : [tex]\angle R[/tex] ?

Solution :

Supp means the supplementary angle.

We know that,

The sum of two supplementary angle is 180°.

i.e. [tex]\angle Q+\angle R=180^\circ[/tex]

Substitute [tex]\angle Q=22^\circ[/tex],

[tex]22+\angle R=180^\circ[/tex]

[tex]\angle R=180-22[/tex]

[tex]\angle R=158[/tex]

Therefore, [tex]\angle R=158^\circ[/tex]

So, option 2 is correct.

A

Step-by-step explanation:the answer is you have 8 quarter and 13 dimes .

Because you have 5 more dimes than quarters which will equal 3 dollars and 30 cents

Annette has a total of 5 coins according to the total money she has.

Given that,
Annette has 5more dimes than quarters, the total amount is $3.30. How many of each coin does she have is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
let the number of dimes be x
Now a number of quarters is x - 5
Accoding to the question,

x + x - 5 = 3.30
2x = 3.30 + 5
2x = 8.30
x = 4.15
Now,
here
number of dimes has approximately = 4
number of quarters = x - 5 = 4 - 5 = -1 (value is negative which is not possible). = 0

Thus, Annette has a total of 5 coins according to the total money she has.

Learn more about arithmetic here:

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Answer:

24

Step-by-step explanation:

Just Add 10 to both sides (The rule is that in equations, what you do to one side, must be done to the other

[tex]14=y-10\\14+10=y-10+10\\24=y[/tex]

Answer:

24

Step-by-step explanation:

14 = y - 10

Addition property of equality: You can add the same value to both sides.

14 + 10 = y - 10 + 10

Add: 24 = y

y = 24

Solution means the value of the variable.

Answer:

40

Step-by-step explanation:

divide by 5 if there is a decimal it is wrong

12.5/5=2.5

62.5/5=12.5

40/5=8

112.5/5=22.5

Answer:

y = 3x - 7

Step-by-step explanation:

The point-slope formula for a straight line is

y – y₁ = m(x – x₁)

x₁ = 4; y₁ = 5; m = 3     Substitute the values

y – 5 = 3(x - 4)             Remove parentheses

y – 5 = 3x - 12             Add 5 to each side

     y = 3x - 7

The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.

Answer:

Micheal owns a farm. On that farm he plants 528 oranges. After harvest, he decides to pack all of his oranges into crates to sell. If he has 24 crates, how many oranges should he pack into each crate? Will there be too many oranges in which there will be some left over?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The corresponding point for the function f(x+2) is (0,9)

Step-by-step explanation:

The point (2,9) lies on the graph of f(x). And we have to find the corresponding point for the function f(x+2).

Whenever we add some constant "c" in x then the graph of the function shifts left by 'c' units.

We can see that, 2 has been added with x . Hence, the graph of the function will shift left by 2 units.

Therefore, the corresponding point for the function f(x+2) is given  by

(2-2,9)

= (0,9)