Andrew owns a plumbing company .the table shows the total amount charged based on the number of hours it takes to complete a job . Which equation best represents this situation?

Answers

Answer 1

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

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Andrew Owns A Plumbing Company .the Table Shows The Total Amount Charged Based On The Number Of Hours

Related Questions

Use the long division method to find the result when 6x^3+ 23x^2 + 15x + 28 is
divided by 2x + 7

Answers

The answer is:

3x^3+x+4.

Hope this helped!! :)

Fave food. THIS IS FOR A GRAPH, PLEASE JUST COMMENT.

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Spaghetti is my favorite food

help algebra 2 100 pints if you answer right

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Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

A plane flies from San Francisco to New York City at 600 miles per hour and returns along the same route at 400 miles per hour. What is the average flying speed for the entire route (in miles per hour)

Answers

Answer: 500 i think

Step-by-step explanation:

Which of the following rules could represent the function shown in the table?

Answers

Answer:

f(x) = 2x + 1.

Step-by-step explanation:

In order to determine the function rule for the given table of values, we must start by finding the slope or the rate of change. Choose two ordered pairs from the table: (0, 1) and (1, 3).

Let (x₁, y₁) = (0, 1)

     (x₂, y₂) = (1, 3)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (3 - 1)/(1 - 0)

m = 2/1 = 2

Therefore, the slope of the function is, m = 2.

Next, we must determine the y-intercept, which is the point on the graph where it crosses the y-axis, with coordinates of (0, b ). From the given table of values, the y-intercept is (0, 1), for which its y-coordinate is the value of b = 1.

Therefore, the function rule that represents the given table of values is:

f(x) = 2x + 1.

6x + 5y = 1
y=(-3x -7)

Solve each system by substitution

Answers

Answer:

x=3,y=2

Step-by-step explanation:

one half of the sum of number and 10

Answers

Sum of x and 10 is (x+10)

Half of sum of x and 10 = [tex] \frac{x + 10}{2} \\ [/tex]

please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing

Answers

Answer:

if it's bot raining, then it's sunny

the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm

Answers

Answer:

40π cm2/ min.

Step-by-step explanation:

First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.

learnt this topic a while ago and somehow completely forgot could someone explain?

Answers

Answer:

99.5

Step-by-step explanation:

in right angle triangle

sin x = opposite side / hypotenuse

sin 34 = x  / 178

x  = sin 34 * 178

= 99.5

PLZZZ HELP FOR BRAINLIST

Answers

Answer:

I D K GUESS ITS 1 2 4 I GUESS THINKING

Step-by-step explanation:

2h(3m-4h)please help me

Answers

Answer:

6hm-8h^2

Step-by-step explanation:

2h(3m-4h)

2h*3m=6hm

2h*4h=8h^2

=6hm-8h^2

2——————————————————————-

hallar el factor comun por agrupacion de terminos de los siguientes ejercicios
a.3m[tex]2^{2}[/tex]
b.
c.
d.
e.
f.
g.
h.
i.

Answers

Answer:

No factorizable, está en su forma más simple

Step-by-step explanation:

Find the common factor by grouping the terms of the following exercises

3m[tex]2^{2}[/tex] --> Not factorable, is in simplest form.

Hallar el factor comun por agrupacion de terminos de los siguientes ejercicios

3m[tex]2^{2}[/tex] --> No factorizable, está en su forma más simple.

--------------------------------------------------------------------

Explicación: Solo puede factorizar, o simplificar, una ecuación o solo variables, si la variable que tiene un exponente tiene la misma base que otra variable, como x ^ 2 y x ^ 3, puede simplificarla ax ^ 5. Ahora, en este problema tenemos un 3, y 2 ^ 2, en el 2 ^ 2, 2 es la base y el otro número es 3, que definitivamente no es la misma base, por lo que no puede factorizarlo más, y deje la variable a lo largo.

i am very confused amd i also hate math so please help

Answers

Answer:

The answer that you put is right

g(n)=n^2-4
h(n)=4n+5
find g°h

Answers

Answer:  g(4n+5) = 16n^2 + 40n + 30

Step-by-step explanation:

g(n)=n^2-4

h(n)=4n+5

find g°h

g°h is g(4n+5) = (4n+5)^2 + 5

g(4n+5) = (16n^2 + 40n + 25) + 5

g(4n+5) = 16n^2 + 40n + 30

Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.

Answers

The four consecutive odd numbers are  - 11, - 9, - 7, - 5.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).

Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.

5(n + n + 4) = 8(n + 2 + n + 6) + 22.

5(2n + 4) = 8(2n + 8) + 22.

10n + 20 = 16n + 64 + 22.

10n - 16n = 86 - 20.

- 6n = 66.

n = - 11.

So, The numbers are - 11, - 9, - 7, - 5.

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B. Complete the missing factors of the following polynomials.



5. 6a2 + 11b – 35b2 = ( 3a ______ )( 2a ________ )



6. 18x2 – 39x + 20 = ( 3x – 4 ) ( ___________ )

CAN SOMEONE HELP ME, PLEASE.​

Answers

5) i dont know
6) (6x-5)(3x-4)

which absolutely value inequality represents the given graph? A. |-3x| < 15 B. |-3| > 15

Answers

Answer:

B.|-3x| > 15

Step-by-step explanation:

27. A prime factor of 2310 is chosen at random. What is the
probability that the chosen factor will be greater than 7?

Answers

Step-by-step explanation:

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11. Since it has a total of 5 prime factors, 2,310 is a composite number.

The probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that a prime factor of 2310 is chosen at random. The probability will be calculated as:-

The prime factorization of 2,310 is 2 × 3 × 5 × 7 × 11.

Favourable outcome = 11 = 1

Total outcomes = ( 2,3,5,7,11) = 5

Probability = ( 1 / 5 )

Therefore, the probability of chosen factor will be greater than 7 will be ( 1 / 5 ).

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JE VOUDRAI CONNAITRE LE RESULTA DE
5√200

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Tienes que divertir el número con el zero después vas a suscribir

Divide. Write the answer in simplest form.
2/5 divided by 3

Answers

Answer:

Step-by-step explanation:

0.13 repeating

State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl​

Answers

Balanced reaction:

[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]

The reaction type is double replacement.

Please help I don’t understand

Answers

Write your questions

Answer:

The value of x so f (x) = 7 is 5.

Step-by-step explanation:

Help. 7 minutes left. Can’t find answer. Question in the picture, Thank you!

Answers

Step-by-step explanation:

Where's the picture?

Add this first

Answer:

wait we're is the picture?

A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)​

Answers

Answer:

780

Step-by-step explanation:

divide 4 from 3120 to find how many pop-its are made per hour/ unit rate

one third of the result of three times a number that is increased by 12

Answers

Answer:

Step-by-step explanation:

1/3 (3x+12)

1/3×3x+1/3×12

x+4

Write
3^2 × 3√3 as a single power of 3.

Answers

Answer:

27√3

Step-by-step explanation:

What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.

Answers

Answer:

subtract 7 from each side

Step-by-step explanation:

Answer:

Subtract 7 from each side.

Step-by-step explanation:

x+7 = 5x+7-7 = 5-7x = -2

Here we go another question i'm asking you guys to help me with because i don't understand this!

Answers

Answer:

1. Less Than

2. Greater Than

Step-by-step explanation:

You know that 1/2 is equal to 4.5/9

So, 2/9 would be less than 1/2.

You know that 1/2 is equal to 5/10

So, 9/10 is greater than 1/2.

Compare each fraction by setting each fraction to the same denominator.

Last week it snowed 4.32 inches on Monday and 6.86 inches on Tuesday. It Snowed 7.89 inches this week.
How much more did it snow last week than this week?
01.03 inches
O 2.54 inches
0 3.29 inches
O 3.57 inches

Answers

Answer:

3.29

Step-by-step explanation:

4.32+6.86=11.18

11.18-7.89=3.29

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