All categories

3 years ago

An airport has two long term parking lots. the cost to park,y, in each lot for x days is shown in the tables

Mathematics

1 answer:

Licemer1 [7]3 years ago

8 0

Answer:

y = 4x + 12 will be the other equation.

Step-by-step explanation:

Data given in the tables show a linear relation (has a common data).

To get the linear relation, we will choose the two points from table (1) .

Let the points are (1, 16) and (2, 20).

Slope of the line 'm' = $\frac{\triangle{y}}{\triangle{x}}$

m = $\frac{20-16}{2-1}$

m = $\frac{4}{1}$

m = 4

Equation of the line passing through (1, 16) having slope = 4

y - 16 = 4(x - 1)

y = 4(x - 1) + 16

y = 4x - 4 + 16

y = 4x + 12

Now we take second set of data,

We choose two points (1, 6) and (2, 12).

Slope 'm' = $\frac{\triangle{y}}{\triangle{x}}$

m = $\frac{12-6}{2-1}$

m = 6

Equation of the line passing through (1, 6) having slope = 6

y - 6 = 6(x - 1)

y = 6x - 6 + 6

y = 6x

Therefore, other equation of the system of equations will be,

y = 4x + 12

You might be interested in

At a TV.repair shop, the amount charged for labor depends on the time the

Pepsi [2]

Answer:

A. Amount(hours worked)

Step-by-step explanation:

Function notation is a way of converting a written description of a function to a concise form that is easy to read.

It is another way of representing the y-value in a function, y = ƒ(something)

Let's convert the word expression to function notation:

"The amount charged for labour depends on the time the repair technician works."

"The amount depends on the hours worked."

"The amount is a function of the hours worked."

Amount = amount(hours worked)

y = a(h)

6 0

3 years ago

Solve this dude √10² x (6^3) = ?

gtnhenbr [62]

The answer is 2160. Do you need the steps ?

6 0

3 years ago

If the number of professors in a college is P and the number of students is S, and there are 19 times as many students as profes

morpeh [17]

Answer:

$S =19P\\S-19P = 0$

Step-by-step explanation:

We are given the following in the question:

Let P be the number of professor and S be the student in a college.

According to the question:

There are 19 times as many students as professors.

We have to write an equation to show the given relationship between professors and students.

$S =19P\\S-19P = 0$

The above situation is the situation that represents the given relationship.

5 0

3 years ago

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

6 0

3 years ago

Use two 2-Column proofs to show that either diagonal of a rectangle will create two congruent triangles?

tangare [24]

Given: Rectangle ABCD
Prove: ∆ABD≅∆CBD
Solution:

 Statement Reason

ABCD is a parallelogram Rectangles are parallelograms since the definition of a parallelogram is a quadrilateral with two pairs of parallel sides.

Segment AD = Segment BC The opposite sides of a parallelogram are Segment AB = Segment CD congruent. This is a theorem about the parallelograms.

∆ABD≅∆CBD SSS postulate: three sides of ΔABD is equal to the three sides of ∆CBD

Given: Rectangle ABCD
Prove: ∆ABC≅∆ADC
Solution:

 Statement Reason

Angle A and Angle C Definition of a rectangle: A quadrilateral
are right angles with four right angles.

Angle A = Angle C Since both are right angles, they are congruent

Segment AB = Segment DC The opposite sides of a parallelogram are Segment AD = Segment BC congruent. This is a theorem about the parallelograms.

∆ABC≅∆ADC SAS postulate: two sides and included angle of ΔABC is congruent to the two sides and included angle of ∆CBD

6 0

3 years ago