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A plumber charges $55 for a service call plus $40 for each hour he works. If the total bill for a job costs $215, write an equation to represent the situation. 40 + 55 = x + 215 215 = x + 40 + 55 215 = 40 + 55x 215 = 40x + 55​

Answer:

To solve your equation using the Equation Solver, type in your equation like x+4=5. The solver will then show you the steps to help you learn how to solve it on your own.

Step-by-step explanation:

Answer:

Piecewise

Step-by-step explanation:

For a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece.

Piecewise functions are usually a function that equals two or more equations depending on the x or the domain.

Google piecewise functions to see examples.

I hope this helps!

Answer: Piecewise

Step-by-step explanation:

There will be breaks and jumps in the curve, particularly when a value would undefined. So the solution curve looks like disconnected pieces.

Answer:

x = -8​

Step-by-step explanation:

-X= 8​

Multiply by -1

-X*-1= 8*-1

x = -8​

Answer:

x = -8

Step-by-step explanation:

Multiply both side of the equation by -1

-x(-1) = 8(-1)

On the x side, the negatives cancel each other out, making x positive.

On the 8 side, the negative makes the 8 into -8.

x = -8

(essentially, switch the negative/positive signs)

Answer:

sin∅ = opposite over hypotenuse

cos∅ = adjacent over hypotenuse

tan∅ = opposite over adjacent

Step-by-step explanation:

Each of these trigs are used to find angles or lengths of a triangle.

sin∅ would be the y-value of the unit circle.

cos∅ would be the x-value of the unit circle.

Answer:

a reflection in the y-axis followed by a translation down by 7 units

Step-by-step explanation:

just answered it

The transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.

Option (C) is correct.

It is required to choose  the transformations of the graph.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

We have a given a graph of y = f(-x) – 7.

The transformations in order are the following:

Reflection over the x-axis.

Horizontal translation of 7 units to the left.

Therefore, the transformations of the graph is a reflection in the x-axis followed by a translation down by 7 units.

Learn more about transformations here:

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Answer:

a -8 power

Step-by-step explanation:

yes you do that the same way

Answer:

Supplement of <1 = 122°

Supplement of <2 = 156°

Step-by-step explanation:

Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.

Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°

Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.

Thus:

Supplement of <1 = 122°

Supplement of <2 = 156°

Answer:

i got you wait an sec

Step-by-step explanation:

Answer:

Solution:

(1/12)^(-2b) * 12^(-2b+2) = 12

(12^-1)^(-2b) (12)^(-2b+2) = 12

(12^2b)(12)^(-2b+2) = 12

12^(2b-2b+2) = 12

12^2 = 12

144 does not equal 12

No solution.

Step-by-step explanation:

The measure of angle PNL will be equivalent to 69 degrees.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle KLM such that N is a midpoint of KL and P is a midpoint of LM.

Triangles LMP and LKM are similar to each other. Therefore, PN will be parallel to MK. So angle PNL will be equal to angle MKN. Therefore -

2x + 61 = 97 - 7x

9x = 97 - 61

9x = 36

x = 4

So, angle PNL will be equal to -

2 x 4 + 61

69 degrees

Therefore, the measure of angle PNL will be equivalent to 69 degrees.

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Answer: 3 1/3

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Each number in the sequence decreases by 4, so the next reasonable number would be 11 (15-4=11)

Answer:

7.5

Step-by-step explanation:

8x÷4=12÷4

2x=3

x=3/2=1.5

2y+10=22

2y=12

y=6

1.5+6=7.5=7½

Answer:

7.5 or 7½

Step-by-step explanation:

8x = 12

x = 12/8 (12/4 / 8/4)

x = 3/2

x = 1.5

2y + 10 = 22

2y = 12

y = 6

1.5 + 6 = 7.5 = 7½

Answer:

6x+6

Step-by-step explanation:

To find the perimeter you are going to add the length of all the edges. 2x+3 + 2x+3+x+x. When you simplify it all you found your answer.

Answer:

(f)2=-2, (f)0=4 and (f)-4=6

Step-by-step explanation:

f(2)= -3(2)+4

-6+4=

-2

f(0)=-3(0)+4

=4

f(-4)=-3(-4)+4

-6+4

=

-2

I hope this helps.

Answer:

x^2 - 4x - 3

Step-by-step explanation:

f(x) = x^2 - 6x

g(x) = -2x + 3

(f - g)(x) is the subtraction of the functions, f(x) - g(x)

You need to write it carefully using parentheses for function g(x).

(f - g)(x) = f(x) - g(x) =

= x^2 - 6x - (-2x + 3)

Now take care of the parentheses by distributing the negative sign to its left. It will change every sign inside the parentheses.

= x^2 - 6x + 2x - 3

= x^2 - 4x - 3

the answer is -17 :)

Answer:

-1.236.

Step-by-step explanation:

3/3 = 1.

√5 = 2.236.

1.000 - 2.236 = -1.236.

the answer is negative because the smaller number is subtracting the larger number..........u just subtract the normal way,( the larger number take away the smaller number), but u should insert a negative sign to the answer.

Answer:

Solution: 9.43

Step-by-step explanation:

Remember that we can determine the distance between any two points using the distance formula, d = √(x₂ - x₁)² + (y₂ - y₁)². Let's substitute known values to determine the distance:

[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2},}\\ \\\\\mathrm{d}= \sqrt{(4 - (-4))^2 + (0 - 5)^2} = \sqrt{(4 + 4)^2 + (- 5)^2} \\= \sqrt{(8)^2 + 25} = \sqrt{64 + 25} = \sqrt{89}[/tex]

Hence the distance between the points (-4,5) and (4,0) is exactly √89. The question asks us to round off to the nearest hundredth, so your solution will be approximated off to two digits → 9.43.

Answer:

x = 4

Step-by-step explanation:

Since JB is the bisector of AD and the length of AD is given as 24 we can conclude that AZ is 12 (half of AD)

2x + 4 = 12

2x = 8

x = 4

From the graph, we can see that the graph crosses the y-axis at (0,-3) Hence, the correct answer is A (0,3).

The intersection of the graph of the function with the y-axis gives the y-intercept of that function.

The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

The y-intercept is where a line crosses the y-axis, so this is the point where x = 0.

From the graph, we can see that the graph crosses the y-axis at (0,-3)

Hence, the correct answer is A (0,3).

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Answer:

BC = 2

Step-by-step explanation:

If B lies on AC it makes the line segments AB and BC.

AC=10

AB+BC=AC

AB+BC=10

8+BC=10

BC=2

The value of BC is 2 which is the correct answer that would be an option (A).

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment AC , where the length of line segment AC refers to the distance between its endpoints, A and C.

Point B lies on AC between A and C.

A______________B______________C

Given that B lies on AC it makes the line segments AB and BC.

AB = 8 and AC = 10

⇒ AB + BC = AC

⇒ AB + BC = 10

⇒ 8 + BC = 10

⇒ BC = 2

Therefore, the value of BC is 2 which is the correct answer that would be an option (A).

Learn more about the line segment here:

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Answer:

ray AD

Step-by-step explanation:

You are correct.

C is the constant, which is also called the slope.

Slope = change in y over the change in x:

Slope = 160-30 / 16-3 = 130/13 = 10

The equation would be y = 10x

Answer:

y= 2 + 0.23x

Step-by-step explanation:

Giving the following information:

A text message plan costs $2 per month plus $0.23 per text.

First, we need to structure the total cost formula:

y= total cost

x= number of text messages

y= 2 + 0.23x

Now, we can calculate the total cost for any number of text:

x= 200

y= 2 + 0.23*200

y= $48

Answer:

12.5 miles per hour

Step-by-step explanation:

The speed is the distance divided by time.

3.75 miles/0.3 hours= 12.5 miles per hour

Answer:

12.5 miles per hour

Step-by-step explanation:

To answer this question you have to make sure that the hours (denominator) equals to 1. To do this, divide 3.75 by 0.3, thus making the 0.3 hours into 1 hour. This results in 12.5 miles per hour, the correct answer. Hope this helped!

Answer:

A. 5 hours and 25 minutes

Step-by-step explanation:

8 - 3 = 5

50 - 25 = 25

8:50 pm - 3:25 pm = 5:25

A. 5 hours and 25 minutes