Solve 1/2x-2=9-5x by graphing

Part (A)

Answers:

Independent Variable = x = number of hours

Dependent Variable = f(x) = total cost in dollars

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Explanation:

The independent variable is always x. When dealing with time, the time value is often the independent variable as time does its own thing. It marches on without any influence or external factors to change it.

On the other hand, the total cost is affected by time. The more time goes on, the higher the total cost will be. We say the total cost is dependent on the time. The dependent variable is always y, which can be replaced with f(x). In short, y = f(x).

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Part (B)

Answer:

f(x) = 20x + 25

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Explanation:

The flat rate of $25 represents the initial cost. This is the cost if x = 0 hours of work is done. So this is the cost to get in the door, so to speak. You can think of this as the parts cost (from "parts and labor").

On top of that initial cost is the cost of $20 per hour. This can be thought of as the labor cost. If a job takes 1 hour to do, then we add on $20 to the flat rate of $25. If it takes 2 hours, then we add on 2*20 = 40 dollars. And so on. For x hours, we add on 20x dollars. Whatever x is, we multiply by 20.

So overall we have a flat rate of $25 and a variable rate of 20x dollars giving a total cost of f(x) = 20x+25

As a check, plugging x = 0 should lead to f(x) = 25

Plugging x = 1 should lead to f(x) = 20+25 = 45

And so on.

Answer:

1)-

How to solve your question

Your question is

4(4−72)−9(5+2)

4(4y-7y^{2})-9(5y+2)4(4y−7y2)−9(5y+2)

Simplify

1

Rearrange terms

4(4−72)−9(5+2)

4({\color{#c92786}{4y-7y^{2}}})-9(5y+2)4(4y−7y2)−9(5y+2)

4(−72+4)−9(5+2)

4({\color{#c92786}{-7y^{2}+4y}})-9(5y+2)4(−7y2+4y)−9(5y+2)

2

Distribute

4(−72+4)−9(5+2)

{\color{#c92786}{4(-7y^{2}+4y)}}-9(5y+2)4(−7y2+4y)−9(5y+2)

−282+16−9(5+2)

{\color{#c92786}{-28y^{2}+16y}}-9(5y+2)−28y2+16y−9(5y+2)

3

Distribute

−282+16−9(5+2)

-28y^{2}+16y{\color{#c92786}{-9(5y+2)}}−28y2+16y−9(5y+2)

−282+16−45−18

-28y^{2}+16y{\color{#c92786}{-45y-18}}−28y2+16y−45y−18

4

Combine like terms

2)

−17y+17z+24

See steps

Step by Step Solution:



STEP1:Equation at the end of step 1

((24 - 4 • (5y - 6z)) + 3y) - 7z

STEP2:

Final result :

-17y + 17z + 24

−282+16−45−18

-28y^{2}+{\color{#c92786}{16y}}{\color{#c92786}{-45y}}-18−28y2+16y−45y−18

−282−29−18

-28y^{2}{\color{#c92786}{-29y}}-18−28y2−29y−18

Solution

−282−29−18

Answer:

Step-by-step explanation:

1. factor completely

5. simplify first fraction

4. common denominator

2 add the fractions

3. open paranthesis and combine like terms

Answer:

[tex]7.8204\times 10^{15}\ \text{miles}[/tex]

Step-by-step explanation:

In the map the scale is

[tex]1\ \text{inch}=70\ \text{light-years}[/tex]

So

[tex]19\ \text{inches}=19\times 70=1330\ \text{light-years}[/tex]

In miles

[tex]1\ \text{light-year}=5.88\times 10^{12}\ \text{mi}[/tex]

[tex]1330\ \text{light-years}=1330\times 5.88\times 10^{12}=7.8204\times 10^{15}\ \text{miles}[/tex]

The galaxies are [tex]7.8204\times 10^{15}\ \text{miles}[/tex] apart.

Answer:

By an online search, i found that the options are:

Option A. A(10)

Option B. A(11)-A(9)

Option C. A(10)/10

Option D. A’(10)

Let´s start by defining the concept of a derivative.

When we have a function f(x), the derivative, f´(x), is a measure of the rate of change of f(x) with respect to the variable x.

Then if A(t) represents the area covered by the oil, A´(t) is the rate of change of this area as a function of t.

Particularly, A´(10), will be the rate of change at t = 10.

Then the correct option is: Option D. A´(10)

Answer:

-22

Step-by-step explanation:

type it in google

Answer:

38?

Step-by-step explanation:

the answer dude lol..............

Answer:

x = 0

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define

6x + 7y = 4x + 4y

y = -4

Step 2: Solve for x

Answer:

The correct Answer to this is 6

Step-by-step explanation:

Answer:

8 in

Step-by-step explanation:

Area of a square = l×w

Since it is a square then l and w are equal to each other.

So we can instead just say l^2 = A

l^2 = 68.2

l = square root of 68.2

l = 8.26

Good Morning hope this helped.

Answer:

1: The cost of twelve bottles is $24 cause 12x2=24.

2: The ratio is 24/12 or 2/1

3: $2 every time

I think it is -5................

Answer:

23 x 2 = 46

the answer is 46 pounds

Answer:

− 2 x^5 + 10 x^ 4 + 5 x + 14

Step-by-step explanation:

Answer:

Ummm... I think it would help if you take a screen shot

Step-by-step explanation:

Answer:

The sum of all angles is 180degrees

100 = 8x +4

X =( 100-4)/8 =12

A = 80

B = 41

C = 59

The largest angle is adjacent to the largest side so

B C A

Step-by-step explanation:

Also can u pls mark me brainliest im new

Answer:

They aren't parallel because the intersections with Via La Playa do not make equal alternate interior, alternate exterior angles, or corresponding angles.

Step-by-step explanation:

Angle a is 140 degrees since it and 40 degrees are supplementary. The angle supplementary to 130 degrees is 70 degrees. All of the vertical angles are congruent.

Answer:

the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Step-by-step explanation:

We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]

Solving:

[tex](x + 2)^2 > 2x + 7[/tex]

Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]

Now factoring the term: [tex]x^2+2x-3>0[/tex]

Breaking the middle term: 2x= 3x-x

[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]

So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

your welcome

Answer:

D

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

first one 10/10

2nd ome 9.6/10

I like the first one better

Answer:

2 one is my favorite

Step-by-step explanation:

1 , 9

2, 10

3, 8

4, 5

5, 1

Answer:

nonproportional

Step-by-step explanation:

proportional would mean that the y intercept is 0 but it's 3

Answer:

The answer is below

Step-by-step explanation:

The Correct data set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2.

The Correct option is (B)

An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.

Given:

As, given from the box plot

1/4 - 1 cross

1/2 - 2 cross

3/4- 0 cross

1 - 4 cross

1  1/2 - 0 cross

1 1/4 - 2 cross

1 3/4 - 0 cross

2- 6 cross

So, the correct set is 1/4, 1/2, 1/2, 1, 1, 1, 1, 1 1/4, 1 1/4, 2, 2, 2, 2, 2, 2, 2

Learn more about Box- plot here:

https://brainly.com/question/1523909

#SPJ2

Answer:

Step-by-step explanation:

(b+8)≤18

Answer:

14 is 70% of 20

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 20, so we can write it down as 100%=20.

4. We know, that x% equals 14 of the output value, so we can write it down as x%=14.

5. Now we have two simple equations:

1) 100%=20

2) x%=14

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=20/14

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14 is what percent of 20

100%/x%=20/14

(100/x)*x=(20/14)*x       - we multiply both sides of the equation by x

100=1.42857142857*x       - we divide both sides of the equation by (1.42857142857) to get x

100/1.42857142857=x

70=x

x=70

now we have:

14 is 70% of 20

Answer:

1 st year = $320

2nd year $128

320p - 192t = $128

Step-by-step explanation:

Answer:

y = (-3/5)x - 7

Step-by-step explanation:

you are given the points (5,-10), (-10,-1)

a slope of (-1+10)/(-10-5) = -9/15 = -3/5 can be determined

using the point (0,-7), we can get y+7=(-3/5)(x - 0)

simplified: y = (-3/5)x - 7

Answer:

The answer is 127.6

Step-by-step explanation:

To find the volume of something, you multiply.

So:5.5 times 3.2 times 7.25 is equal to 127.6

HOPE THIS HELPS YOU!!!!    :)

Answer:

127.60 square inches

Step-by-step explanation:

Multiply the diameters all together to get your answers.

5.5 x 3.2 x 7.25

Multiply

5.5 x 3.2 = 17.6

Multiply some more

17.6 x 7.25 = 127.6

You can also just multiply like this:

5.5 x 3.2 x 7.25 = 127.6

Hope this helped :)

Please consider Brainliest :)

Answer:

[tex]hello[/tex]

[tex]the \: area \: of \: square \\ \: garden \: = 1/121 \: {cm}^{2} [/tex]

,[tex]sides = ?[/tex]

[tex]now[/tex]

[tex]area \: = \ {sides}^{2} \\ [/tex]

[tex]=>1/121 \: = \: {sides}^{2} \\ \\ =>\sqrt{1/121} \: = \: sides \\ \\=>1/11 cm = \: sides[/tex]

[tex]therefore, \: sides \: of \: the \: \\ squre \: is \: 1/11cm[/tex]

Have a safe Life