When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain​

Answer:

It takes the neighor's hose 3 hours to fill the pool and it takes Sully's hose 6 hours to fill the pool if each filled alone.

Step-by-step explanation:

This is a work problem, and the way these are done is to figure the amount that each can do based on how much can get done in a single hour.  

First thing, in order to have only one variable, we have to put one hose in terms of the other hose.  

We know that it takes the neighbor's hose a certain amount of time (there's our unknown) to fill the pool and that it takes Sully's hose that same time plus 3 hours.

neighbor's hose can get the job done in x time

Sully's hose can get the job done in x + 3 time

Now we will figure out how much each can do in a single hour.

If the neighbor's hose takes x hours to fill the pool, then it can get

of the pool filled in 1 hour.

If Sully's hose takes x + 3 hours to fill the pool, then it can get

of the pool filled in 1 hour.

The sum of these takes 2 hours total and 1/2 of the pool gets filled in 1 hour.

Our equation then is:

This equation states in words:

"the amount of the pool that the neighbor's hose can fill in an hour plus the amount of the pool that Sully's hose can fill in an hour will fill half the pool".

Solving for x will give us that time.

Begin to solve this by finding the LCM of those denominators and getting rid of the fractions by reducing.  The LCM will be 2x(x + 3).  Multiplying each term by that LCD looks like this:

In the first term the x's cancel out, in the second term the (x + 3) cancels out, and in the last term the 2's cancel out leaving us with:

and simplifying gives us:

This is a quadratic that will have to be factored to solve for those values of x.  Combine like terms and get everything on one side to get:

Factor this however you find easiest to get the values:

x = 3 hours and x = -2 hours

We all know that the 2 things in math that will never EVER be negative are times and distances/measures, so we can disregard the -2 and say that

x = 3 hours.  

To answer our question, then;

It takes the neighbor's hose 3 hours to fill the pool; it takes Sully's hose 3+3 hours = 6 hours to fill the pool.

Answer:

pretty sure its 8.15

Step-by-step explanation:

Answer:

Im pretty sure the answer would be 6

Step-by-step explanation:

Just take 42 and divide by 7 to get x

Answer:

did you finish this already

Answer:

[tex]\frac{3}{2}i + \frac{3\sqrt{3} }{2}[/tex]j

Step-by-step explanation:

The work done by the force in moving the object is 10 ft-lb.

Force is an influence or interaction that can change the motion or shape of an object with mass.

It can be described as a push or a pull that has both magnitude and direction.

Force is equal to the product of the mass of the object and its acceleration.

Given,

F = 3 p

d = 4 ft

The work formula:  

W = F x d

W = 4 p x cos 60° x 5 ft

= 10 ft lb.

Hence, the work done by the force in moving the object is 10 ft-lb.

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Answer:

14

Step-by-step explanation:

(4*5)+(2*3)

20-6

14.

Answer:

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & {14} & {26} & {36} & {44} & {50}\ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & { } & { } & { } & { } & {50}\ \end{array}[/tex]

Required

Complete the table of Areas

Using the complete column:

Where x = 5, y = 10 and A = 50,

We can deduce that, the area is calculated as:

[tex]A = 5 * 10 = 50[/tex]

i.e.

[tex]A = x * y[/tex]

So, for other values of x and y, the area is calculated as thus:

[tex]x = 1; y = 14[/tex]

[tex]A = 1 * 14 = 14[/tex]

[tex]x = 2; y = 13[/tex]

[tex]A = 2 * 13 = 26[/tex]

[tex]x = 3; y=12[/tex]

[tex]A = 3 * 12 = 36[/tex]

[tex]x =4;y =11[/tex]

[tex]A = 4 * 11 = 44[/tex]

So, the complete table is:

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {14} & {13} & {12} & {11} & {10} \ \\ A & {14} & {26} & {36} & {44} & {50}\ \end{array}[/tex]

Answer:

Yes it is a function

Step-by-step explanation:

It is a function because a mapping diagram can be used to represent a relationship between input values and output values. A mapping diagram represents a function if each input value is paired with only one output value.

Brainliest plz?

Answer:

So If This Is Area You Take The Top Number And Subtract It By The Bottom Number To Get the Sides

Step-by-step explanation:

Answer:

Mexican Gulf Output of a Oil-Rig

Based on 57% red flag days, Joe, the retired statistician, who watches from the shore for the red flag every day, cannot conclude that the oil-rig is operating at a non-ideal condition most of the time, but more of the time.

Step-by-step explanation:

Ideal output of a particular oil-rig, at least = 2,000 barrels per day

When output is lesser than 2,000, a red flag is raised by the foreman

Number of days counted = 28

Number of days when red flag was raised = 16

Proportion of days when the red flag was raised = 16/28

= 0.57

or 57%

Answer: 27,600

Step-by-step explanation:

Ok, there could be two answers to this question. If the question is asking how much he would make if it was .15% more, the total would be 27,600/a year

However, if it's asking .15% of 24,000, your answer would be 3,600 ( as in the extra he would be making)

Answer:

it would be 45

Step-by-step explanation:

Answer:

Solution;

given equation : 3.67 = c - 2.13

On solving equation, we get

c = 3.67 +2.13

c = 5.8

Hence, Janae solution is incorrect. So I disagree.

9514 1404 393

Answer:

  240

Step-by-step explanation:

The value is proportional to the fraction:

  n/(2/3) = 54/(0.15)

  n = (2/3)(54/0.15) = 240 . . . . . multiply by 2/3

2/3 of the number is 240.

Answer:

Step-by-step explanation:

x-0.35x = x(1-0.35) = x(0.65)

Answer: 22

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it rapresent the initial amount of expenses. the ticket sold were 0, but the profit was negative

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of rectangle ABCD = 84.

BC=x

We can use pythagorean to find x. 12^-6^2=c^2

C=6root3

6root3*6/2 = area of triangle ABC

ABC=18root3

Area of ACDE=84-18root3 which equals about 53

Answer:

14 veces  Step-by-step explanation:

Answer:

21

Step-by-step explanation:

65+86+104+2x+3x = 360

5x = 360-65-86-104

= 105

x =21

Answer:

its 63.

Step-by-step explanation:

The length of the altitude of the equilateral triangle is a√3/4 units.

Given is to find the length of the altitude of the equilateral triangle.

An equilateral triangle is a triangle whose all sides are equal. All the angles of a given equilateral triangle are 60 degrees.

The length of the altitude of the equilateral triangle can be found out using the Pythagoras theorem.

Draw a median from one vertex on the opposite side to that vertex and apply Pythagoras theorem to one of the right triangle.

We can find the length of the altitude to be -

L = a√3/4

Therefore, the length of the altitude of the equilateral triangle is a√3/4 units.

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She should use the $10 off coupon because she saves more money.

Answer:

a is the right answer Alexis

Step-by-step explanation:

Answer:

50 cents

Step-by-step explanation:

half of 5.00$ is 2.50$

Answer:

A $48.15

Step-by-step explanation:

7% of $45 is 3.15 so you would add 3.15 to $45 to get $48.15

Step-by-step explanation:

hope it helps

see attached

Answer:

Pts

Step-by-step explanation:

Need pts

Answer:

1. VW = 22

2. x = 87

Step-by-step explanation:

Question 1:

SU = 11 (given)

SU = ½(VW) => midsegment theorem

11 = ½(VW) => Substitution

Multiply both sides by 2

2*11 = VW

VW = 22

Question 2:

UV = x + 13

RT = x - 37

RT = ½(UV) => Midsegment Theorem

x - 37 = ½(x + 13) => Substitution

Multiply both sides by 2

2(x - 37) = x + 13

2x - 74 = x + 13

2x - 74 + 74 = x + 13 + 74

2x = x + 87

2x - x = x + 87 - x

x = 87

9514 1404 393

Answer:

  40.5 square inches

Step-by-step explanation:

The figure appears to be a trapezoid with bases 15 inches and 12 inches, and a height of 3 inches. The formula for the area of a trapezoid is useful in this case:

  A = 1/2(b1 +b2)h

  A = (1/2)(15 in +12 in)(3 in) = (1/2)(27 in)(3 in) = 40.5 in²

The area of the composite figure is 40.5 square inches.

__

Additional comment

You get the same answer if you divide the figure into a rectangle and a triangle. The rectangle is 3 in high by 12 in long, so has an area of ...

  A = bh = (12 in)(3 h) = 36 in²

The triangle has a base of (15 -12) = 3 in, and a height of 3 in. It has an area of ...

  A = 1/2bh = 1/2(3 in)(3 in) = 4.5 in²

Then the total area is the sum of the rectangle and triangle areas:

  figure area = 36 in² +4.5 in² = 40.5 in²