MATHEMATICS HIGH SCHOOL

Write a linear function with the values f(6)=8 and f(9)=3
PLEASE HELP IM SO LOST

Answers

Answer 1

Answer:

y = -5x/3 + 18

Step-by-step explanation:

The points can be written as;

(x,f(x))

where f(x) is same as y

So the points we have are;

(6,8) and (9,3)

We start by finding the slope or the line connecting the points

m = y2-y1/x2-x1 = (3-8)/(9-6) = -5/3

So now we have the general form of a linear equation as

y = mx + b

where m is slope and b is y intercept

We already have slope and we want to calculate y-intercept

Simply substitute one of the points

(9,3) in this case

9 for x and 3 for y

we have ;

y = -5x/3 + c

3 = -15 + c

c = 18

So the line equation is;

y = -5x/3 + 18

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Differentiate between interest and interest rate

Answers

Answer:

Interest:

Interest is the cost of borrowing money, and the money you earn from your savings.

Interest rate

Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)

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What is the distance traversed by the particle between 0 seconds and 6 seconds?A.
2 meters
B.
4 meters
C.
6 meters
D.
8 meters
E.
12 meters

Answers

Answer:

C. 6 meters

Step-by-step explanation:

There's an average speed of 1 m/s throughout the 6 seconds and 6*1=6 :)

Answer:

6 meters

Step-by-step explanation:

plato

There were 480 people at play. The admission price was $2 for adults and $1 for children. The admission receipts were $770. How many adults and how many children attended?

Answers

Answer:

290 adults and 190 children attended the Play.

Step-by-step explanation:

Given:

Total number of people in play = 480

Let the number of adults be x

and Number of children be y

Hence we can write the equation as;

$x+y=480 \ \ \ \ equation \ 1$

Also Given:

Price for 1 adult = $2

Price for 1 children = $1

Total admission receipts = $770

Hence we can write the equation as;

$2x+y =770 \ \ \ \ equation \ 2$

Now We will subtract equation 1 from equation 2 we get;

$(2x+y)- (x+y) =770-480\n2x+y-x-y= 290\nx= 290$

Now substituting the value of x in equation 1 we get;

$290+y =480\ny =480 -290\ny= 190$

Hence 290 adults and 190 children attended the Play.

Final answer:

The problem is solved by creating two equations based on the given information and solving the system of equations to find that there were 290 adults and 190 children who attended the play.

Explanation:

To solve the problem of determining how many adults and children attended the play, we need to set up a system of equations.

Let A be the number of adults and C be the number of children who attended the play. We are given two pieces of information:
The total number of people at the play was 480, which gives us the equation A + C = 480.

The total amount of money collected from admissions was $770. Since adults pay $2 and children pay $1, the equation is 2A + C = 770.

Now we have a system of two equations:
A + C = 480

2A + C = 770

To solve this system, we can subtract the first equation from the second equation to eliminate C:

2A + C - (A + C) = 770 - 480

which simplifies to:

A = 290

Now, plug A = 290 into the first equation to find C:

290 + C = 480

Subtract 290 from both sides:

C = 190

So, there were 290 adults and 190 children at the play.

Learn more about system of equations here:

brainly.com/question/21620502

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Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?

Answers

Let t be the required number of years.
34 + t = 3(6 + t)
34 + t = 18 + 3t
2t = 16
t = 8
The answer is 8 years.

Answer:

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

Step-by-step explanation:

We have been given that Tiffany is 34 years old Vanessa is 6 years old.

Let the time taken by until Tiffany is only 3 times as old as Vanessa be x

Hence, according to the information given in the question equation becomes:

Age of Tiffany after x years will be: 34 +x

Age of Vanessa after x years will be: 6+x

Since, we have to find when Tiffany is 3 times as old as Vanessa

Equation becomes:

34+x =3(6+x)

34+x=18+3x

2x=16

x=8

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

112 oz= how many pounds are in 112 ounces

Answers

7 pounds
Hope this helps!

Solve for y:

-y+6+6y=9

Answers

-y + 6 + 6y = 9

First, simplify -y + 6 + 6y to 5y + 6. / Your problem should look like: $5y + 6 = 9$
Second, subtract 6 from both sides. / Your problem should look like: $5y = 9 - 6$
Third, subtract 9 - 6 to get 3. / Your problem should look like: $5y = 3$
Fourth, divide both sides by 5. / Your problem should look like: $y = (3)/(5)$

Answer as fraction: y = $(3)/(5)$
Answer as decimal: 0.6