(04.01 LC)

Which of the sets of ordered pairs represents a function?

A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}

Only A
Only B
Both A and B
Neither A nor B

After 28 minutes, both pools will have the same amount of water, which will be 1653 liters in each pool.

To find out after how many minutes the two pools will have the same amount of water, we can set up an equation where the volume of water in the first pool plus the water added over time equals the volume of water in the second pool plus the water added to it over the same period.

Let x represent the number of minutes after which both pools will have the same amount of water. The equation can be expressed as:

922 + 33.75x = 1300 + 20.25x

To solve for x, we subtract 20.25x from both sides:

922 + 13.5x = 1300

Now, subtract 922 from both sides to isolate the term with x:

13.5x = 378

Divide both sides by 13.5 to solve for x:

x = 28

So, it will take 28 minutes for both pools to have the same amount of water.

To calculate how much water will be in each pool at that time, we can multiply the rate by the number of minutes and add the initial amount of water for either pool:

For the first pool: 922 + (33.75 * 28) = 1653 liters

For the second pool: 1300 + (20.25 * 28) = 1653 liters

Therefore, after 28 minutes, each pool will contain 1653 liters of water.

The formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]

The given expression:

[tex]F = \frac{9}{5} (K - 273.15) + 32[/tex]

To find:

The formula for K is obtained by making K the subject of the formula as shown below;

[tex]F = \frac{9}{5} (K - 273.15) + 32\\\\subtract \ 32 \ from \ both \ sides \ of \ the \ equation\\\\F - 32 = \frac{9}{5} (K - 273.15)\\\\multiply \ both\ sides \ by \ 5\\\\5(F - 32) = 9(K - 273.15)\\\\divide \ both\ sides \ by \ 9\\\\\frac{5}{9} (F - 32) = K - 273.15\\\\add \ 273.15 \ to \ both\ sides \ of \ the \ equation\\\\\frac{5}{9} (F - 32) + 273.15 = K\\\\[/tex]

Thus, the formula for K in terms of F is [tex]K = \frac{5}{9} (F - 32) + 273.15[/tex]

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The cost to rent each chair is $5, and the cost to rent each table is also $5.

This problem can be solved using the method of substitution in solving systems of linear equations. We can set up two equations based on the information given: 5C + 3T = 25 and 2C + 6T = 40 where C represents the rental cost of each chair and T represents the rental cost of each table.

When we simplify the second equation, we get C + 3T = 20. We can then substitute this into the first equation, which gives us 5(C + 3T) = £25. Solving these equations gives us the cost to rent each chair (C) as $5 and each table (T) as $5.

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Final answer:

The given equation has no solution, as simplifying both sides leads to the false statement -6 = -11. The number of solutions is zero, and the Distributive Property was used to solve the equation.

Explanation:

To solve the equation 4x + 2(x – 3) = 4x + 2x – 11, follow these steps:

Expand the left side of the equation: 4x + 2x - 6.

Combine like terms: 6x - 6.

Since the left and right side both have 4x, we can cancel out 4x from both sides, leaving 2x - 6 = 2x - 11.

Subtract 2x from both sides to get -6 = -11, which is a contradiction.

There is no solution to this equation because we arrived at a false statement. Therefore, the number of solutions is zero.

Part B: The property I used to solve this equation is the Distributive Property when expanding 2(x - 3).

multiply 2.79 x 5

2.79*5 = 13.95 before tax

area = 1/2 * b * h=

1/2 * 2 * 1 1/4 = 1 1/4 square meters each

Answer: area = 1/2 * b * h=

1/2 * 2 * 1 1/4 = 1 1/4 square meters each

Answer:

The correct answer is B. 110.

Answer:

x = + 0.85 , -0.85

Step-by-step explanation:

Given : 11x² = 8.

To find : use any method to solve the equation. If necessary, round to the nearest hundredth.

Solution : We have given that : 11x² = 8.

First we divide both sides by 11,

x² = [tex]\frac{8}{11}[/tex].

Now taking square root both sides .

x = [tex]\sqrt{\frac{8}{11}}[/tex].

x =± 0.8528.

Therefore, x = + 0.85 , -0.85

Answer:

The answer is:

D. -3/5

Answer:

4 deaths per hour

Step-by-step explanation:

We have been given that approximately 31,000 citizens of the country died in automobile accident in 2015.

Since we know that 1 year = 365 days,

1 day = 24 hours

In one year there are total hours = 365 × 24 = 8,760 hours

Death per hour = [tex]\frac{31000}{8760}[/tex] = 3.5388 ≈ 4

Therefore, the toll in deaths per hour is approximately 4 in 2015.

Answer:

[tex]y\geq \frac{1}{3}x -1[/tex]

Step-by-step explanation:

To find linear inequality, first we find the equation of the line.

LEts pick two points (3,0)  and (0,-1)

To get equation of a line [tex]y=mx+b[/tex], use slope formula to find slope m

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{0+1}{3-0} =\frac{1}{3}[/tex]

y intercept is (0,-1) . so b=-1

The equation of the line becomes

[tex]y=\frac{1}{3}x -1[/tex]

now we look at the shaded region.

the graph is shaded at the top and also we have solid line . so we use >= symbol

[tex]y\geq \frac{1}{3}x -1[/tex]

Answer: 15²=225

225-(7.5²•3.14)=48.375 or to the nearest form 48.38.

Step-by-step explanation: In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

The solution is, the dimensions of the field if the length of the field is 8 feet more than the width is:

width = 51,047

length = 51,055

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Here, we have,

given that,

A fence is to be installed around a rectangular field.

the​ field's perimeter is 204204 feet.

now, we have,

204204 - 16 = 204188

we get,

204188 / 4 = 51,047

so, we get,

width = 51,047

length = 51,055

Hence, The solution is, the dimensions of the field if the length of the field is 8 feet more than the width is:

width = 51,047

length = 51,055

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i think that is C i had that one but i forget

hope that help

BMK

Answer:

B. [tex](1,-2)[/tex]  

Step-by-step explanation:  

We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.

We will use mid-point formula to solve our given problem.

[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

Upon substituting the coordinates of points F and J in mid-point formula we will get,

[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]

[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]

[tex]\text{Mid-point}=1,-2[/tex]

Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.

Answer:(x+1)/9x

Step-by-step explanation: Hope this helps

3/4 divided by 3 

3/4 *1/3 = 3/12 = 1/4

For those looking for the letter the answer is C

Your welcome :)

This problem states that the sum of 3 consecutive integers is 63 and it asks us to find the largest integer.

Three consecutive integers can be represented as followed.

X → first integer

X + 1 → second integer

X + 2 → third integer

Since the sum of our three consecutive integers is 24, we can write an equation.

X + X + 1 + X + 2 = 63

We can simplify our equation on the left and it will read...