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]

Read more about linear equations at:

https://brainly.com/question/20286983

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

Related Questions

If x=5 and y=3 find the value of x+2y

Answers

Answer:

x=5

y=3

then ,

x+2y= 5+2 *3

= 5+6

= 10

a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum​

Answers

Answer:

Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.

solve for x in the triangle!!!

Answers

Answer:

13

Step-by-step explanation:

Combine all like terms:

14x-2

Since there are 180 degrees in a triangle, all three angles are going to equal 180.

14x-2=180

Add 2

14x=182

Divide by 14

x=13

What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).

Answers

Answer: (3x+1) (2x-5)

Assume that lines which appear to be tangent are tangent.
Find the value of the?

Answers

Answer:

12

Step-by-step explanation:

Assume that lines which appear to be tangent are tangent.

Therefor this is a right triangle.

Use the pythagorean theorem

c^2 = a^2 + b^2

15^2 = ?^2 + 9^2

225 = ?^2 + 81

subtract 81 from both sides

144 = ?^2

Take the square root of both sides

12 = ?

9514 1404 393

Answer:

  ? = 12

Step-by-step explanation:

The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.

  ?² +9² = 12²

  ?² = 225 -81 = 144

  ? = √144 = 12

The value of ? is 12.

__

Additional comment

When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.


i have a deadlinendnsk help!

Answers

it’s circle C cause that point is on both of the graphs shownnnnnnnnn

Answer:

Point C

Step-by-step explanation:

Hope it can help you lovelots

Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)

Answers

answer is 2.2 66 88862 u88272

A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?

Answers

It’s all too big and I love the kids and the gator is the

Solve for (x)
I need help with 10(b)
Please

Answers

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Which shows the prodcuts orderd from least to greatest

Answers

Bottom left

——————
——————

#1 Twenty five members of a travel club are planning their next club trip. Each member
has ranked their choices according to the following preference schedules. Is the plurality
winner the same as the majority winner?

Answers

Answer: France

Step-by-step explanation:

How to get slope from standard form.

Answers

Answer:

Solve the equation for y. See example.

Step-by-step explanation:

I'll use 3x + 5y = 15. First subtract 3x from both sides since it is positive.

[tex]3x + 5y = 15 \\ - 3x \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: - 3x[/tex]

[tex]5y = - 3x + 15[/tex]

Now solve for y by dividing each term by 5.

[tex] \frac{5y}{5} = \frac{ - 3}{5} x + \frac{15}{5} [/tex]

Now simplify.

[tex]y = \frac{ - 3}{5} x + 3[/tex]

The slope is

[tex] - \frac{3}{5} [/tex]

10 x 9= what is it help

Answers

Answer:

10

[tex]10 \times 9 \\ 90[/tex]

Answer:

90 :)

Step-by-step explanation:

10 x 9 = 90

= 90 is correct answer

(Hope this helps can I pls have brainlist (crown)☺️)

given f(x)=2x^3+kx-9 and x-1is a factor of f(x), then what is the value of k?

Answers

When it says the "x - 1 " is the factor of that function means when you find the root of the phrase x - 1 which is x = 1 , put it in the function then you have to get zero for the answer :

thus :

[tex]f(1) = 0[/tex]

Thus :

[tex]2 \times {1}^{3} + k(1) - 9 = 0[/tex]

So :

[tex]2 + k - 9 = 0[/tex]

[tex]k - 7 = 0[/tex]

Add both sides 7

[tex]k - 7 + 7 = 0 + 7[/tex]

[tex]k = 7[/tex]

There you go...

Have a great day ❤

Here’s a table that represents the situation. Find the cost of 1 gigabyte

Answers

Answer:

.25 dollars or 25 cents

Step-by-step explanation:

128/2=64                         32/2=16

64/2=32                          16/2=8                        

32/2=16                           8/2=4

16/2=8                             4/2=2

8/2=4                               2/2=1

4/2=2                               1/2=(1/2)

2/2=1                                (1/2)/2=(1/4)

1/4 of 1 dollar is 25 cents

Find all of the rational zeros of the function. ​f(​x)=x ​4 −3x ​3 −6x ​2 +6x+8 ​

Answers

Answer:

The "possible" rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

The actual zeros are:

1

,

4

,

±

2

Explanation:

f

(

x

)

=

x

4

3

x

3

6

x

2

+

6

x

+

8

By the rational root theorem, any rational zeros of

f

(

x

)

are expressible in the form

p

q

for integers

p

,

q

with

p

a divisor of the constant term

8

and

q

a divisor of the coefficient

1

of the leading term.

That means that the only possible rational zeros are:

±

1

,

±

2

,

±

4

,

±

8

We find:

f

(

1

)

=

1

+

3

6

6

+

8

=

0

So

x

=

1

is a zero and

(

x

+

1

)

a factor:

x

4

3

x

3

6

x

2

+

6

x

+

8

=

(

x

+

1

)

(

x

3

4

x

2

2

x

+

8

)

Notice that the ratio between the first and second terms of the remaining cubic is the same as that between the third and fourth terms. So this cubic will factor by grouping:

x

3

4

x

2

2

x

+

8

=

(

x

3

4

x

2

)

(

2

x

8

)

x

3

4

x

2

2

x

+

8

=

x

2

(

x

4

)

2

(

x

4

)

x

3

4

x

2

2

x

+

8

=

(

x

2

2

)

(

x

4

)

Finally we can factor the quadratic as a difference of squares:

x

2

2

=

x

2

(

2

)

2

=

(

x

2

)

(

x

+

2

)

So the zeros are:

1

,

4

,

±

2

3.53 divided by 51
24.2 divided by 42
9.13 divided by 23
79.2 divided by 39

Answers

Answer:

1. 0.0692156863

2. 0.5761904762

3. 0.3969565217

4. 2.030769231

Step-by-step explanation:

How do we determine the area of an a rectangle? ​

Answers

Answer:

accept length

accept breadth

Area=length *breadth

Answer

we multiply the length of a rectangle by the width of the rectangle.

A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB

Answers

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Please help if it's right I'll give brainliest

Answers

Answer:

Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70

so angle BXC is 70 degrees.

8.
Write the equation of the parabola in vertex form.



A. y = –x^2 + 4

B. y = –x^2 + 3

C. y = –(x – 1)^2 + 3

D. y = –x^2 – 4

Answers

Answer:

A. y = –x^2 + 4

Step-by-step explanation:

Find the vertex form.

y = − ( x + 0 ) 2 + 4

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

( 0 , 4 )

Focus:  

( 0 , 15 /4 )

Axis of Symmetry:  

x = 0

Directrix:  

y

=

17

4

x

y

2

0

1

3

0

4

1

3

2

0

Is the expression 32.3-3 equivalent to 33.3-22 Explain.


this assignment is due in 2 hours pls help!​

Answers

This is expression is not equal because the left hand and right hand side are different

Help me with this please!!

Answers

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

The degree of polynomial is ?

Answers

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

7/8 of the animals in a garden are goats the rest 230 cow how many animals are there altogether​

Answers

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

Which inequality is represented by the graph?

Answers

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).

Answers

Answer:

hope this helps :)

PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE

Answers

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

PLS ANSWER QUICKLY What is the best approximation of the solution to the system to the nearest integer values? (7, 0) (0, 6) (7, 1) (1, 7)

Answers

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

An art club sells 42 large candles and 56 small candles.



a. Use the Distributive Property to write and simplify an expression for the profit.

expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:

b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?

club's profit: $

Answers

Answer:

(700-42-56)

Step-by-step explanation:

10-x

5-y

4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y

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