MATHEMATICS HIGH SCHOOL

You are purchasing a new car. In order to determine which car will provide maximum savings, you’ve researched miles per gallon (mpg) ratings of cars. If gas is $3.45 per gallon and you drive an average of 18,000 miles per year, the following rational equation is given: g(x)= 3.45 (18,000/old miles per gallon)-3.45(18,000/new miles per gallon)

In the formula what do you find when you divide 18,000/old miles per gallon?

Answers

Answer 1
Answer:

Answer:

(18000)/(x) defines the gallons of the gas consumed by the old car in one year.

Step-by-step explanation:

If I purchase a car, I will definitely concentrate on a factor that is gas consumed by the car in a year.

As per statement given in the question if gas is $3.45 per gallon and I drive an average of 18000 miles per year.

If x miles per gallons is the average of the old car and y miles per gallons is the average of of new car.

Then total difference in gallons of the gas consumed by the old and new cars will be represented by the equation.

g(x) = 3.45((18000)/(x)) - 3.45((18000)/(y) )

Here,(18000)/(x) defines total number of gallons of the gas consumed by the old car in one year.

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The graph of y=x^2 and y=cosx intercept in how many points?

Answers

They intercept in two points.

The graph y=x^2 is very basic so I suppose you know how it looks like.
It's like a U and starts from the origin (0,0)

The graph y=cosx is similar to y=x^2 but in a different way.
y=cosx doesn't pass from (0,0) it passes from (0,1) and then to (-1,0) and (1,0).
Basically, it goes like this..
~

If you know how the two graphs look like then you can understand why they intercept only two times.

AC and BD are perpendicular bisectors of each other. Find the perimeter of ADE. m<D = 12, AB = 13, EC = 5.

Answers

The perimeter of the triangle ΔADE will be 30 units.

What is the perimeter of a triangle?

Let the triangle be ABC.

Then the perimeter of the triangle will be

Perimeter = AB + BC + CA

AC and BD are perpendicular bisectors of each other.

The diagram is shown below.

P = AD + DE + EA

P = 13 + 12 + 5

P = 30 units

More about the perimeter of a triangle link is given below.

brainly.com/question/23935199

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THE CORRECT ANSWER IS 30.

AC and BD are perpendicular bisectors of each other.

=> ABCD is rhombus.

AD = 13

AE = √(13^2 - 12^2) = 5

the perimeter of triangle ADE = 13+12+5 = 30

What is the range of the function on the graph?O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2

Answers

Answer:

4th Option: All real numbers greater than or equal to 2.

Step-by-step explanation:

Range is the set of y-values that can be outputted by function f(x).

We see here our range spans from 2 to infinity. Since 2 is a closed dot, we can include it in our range. Therefore our answer is All real numbers that are greater than or equal to 2.

[2, ∞)

Answer:all real numbers greater than or Equal to 2

Step-by-step explanation:

If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive

Answers

It is simple
you do 45,600 divided by 22
which equals about 2,072.72

Each heir will receive 2072.72 inheritance.

We have to given that;

You divide an inheritance of $45,600.00 among 22 heirs.

And, To find each heir will receive inheritance.

Now, find each heir will receive inheritance as;

⇒ 45,600.00 divided by 22

⇒ 45,600 / 22

⇒ 2072.72

Thus, Each heir will receive 2072.72 inheritance.

Learn more about the divide visit:

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For an upcoming school field trip, there must be one adult supervisor for every five children.If the bus seats 40 people, how many children can go on the trip?

Answers

the answer is 30, i did 6(the number of kids and adult combined) times 6( the highest number i could get to without going over the limit 40) hope this helped

Answer: 32 Childrens maximum I think

Step-by-step explanation: I believe it is 32 because there will be 8 adults for every 32 children (ratio 1 adult:5 children) then convert the ratio to ?adult: availaible seats (40) so multiply by 8 since 5×8 equals 40 and 8×1 equals 8 but the adults have their spots too so 40-8=32

Tanisha is graphing the function f(x) = 25(3/5)^x. She begins by plotting the point (1, 15). Which could be the next point she plots on the graph?(2, 9)

(2, –10)

(2, 14 2/5)

(2, 5)

Answers

The answer is (2,9).

This is because we can increment X by 1, giving us X=2. We can then do:
f(2)=25•(3/5)^2
Which equals:
f(2)=25•(3^2/5^2) because (a/b)^c = a^c/b^c.

We can then calculate the fraction in a simplified form:
f(2)=25•(9/25)=225/25
which fully simplified gives us
f(2)=9/1=9

Answer:

(2,9)

Step-by-step explanation:

Took the test
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