MATHEMATICS MIDDLE SCHOOL

F(x)=(3x-1)/(2) find f^(-1)(2)

Answers

Answer 1

Answer:

Answer:

$f^(-1) (2)=(5)/(3)$

Step-by-step explanation:

To find the inverse of a function, we must replace y for x and then solve for y.

$y=(3x-1)/(2) \nx=(3y-1)/(2) \n2x=3y-1\n3y=2x+1\ny=(2x+1)/(3) \nf^(-1) (x)=(2x+1)/(3)$

Now we can substitute x=2 into our inverse function

$f^(-1) (2)=(2(2)+1)/(3) \nf^(-1) (2)=(5)/(3)$

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What is 152,909 rounded to the nearest hundred thousands

Answers

152,909 rounded to the nearest hundred thousands is 200,000.

Rules of rounding numbers
1) if the number being rounded off is followed by 0, 1, 2, 3, and 4, round the number down.
2) if the number being rounded off is followed by 5, 6, 7, 8, and 9, round the number down.

1 is the number on the hundred thousands place. It is followed by 5. We round 1 up to 2. Thus 2 is now in the hundred thousands place.

The answer is 200,000 because when you have 5-9 in the place value next to what your rounding to you go up a number in the place your rounding in and all the rest of the numbers behind the place value that your rounding in.

an artist is arranging tiles in rows to decorate a wall. each new row has 2 fewer tiles than the row below it. if the first row has 23 tiles, how many tiles will be in the 7th row?

Answers

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant

This problem is an Arithmetic Sequence

where

the first term is $23$

and

the common difference is $-2$

In general we can write an Arithmetic Sequence as a rule

$an=a1+d*(n-1)$

where

a1 is the first term

d is the common difference

$a1=23\n\n d=-2$

Find the term a7

$an=a1+d*(n-1)\n \n a7=23+(-2)*[7-1]\n \n\n a7=23-12\n \n\n a7=11$

therefore

the answer is

$11\ tiles$

There will be 11 tiles in the 7th row, Hope this helped! :)

Luke has 25 units of fencing which is the largest rectangle for which he can use the fencing?

Answers

The perimeter of Rectangle should be equal to 25 units as the length of fence is 25 units.
So here is one example,
length of rectangle is 10 units and width is 2.5 units and perimeter is 2×(l+b)
=> 2×(10+2.5)
=> 2×12.5
=> 25 units.

PLEASE HELP I GIVE THANKS

Answers

B because 15 divided by 25 is 0.6 and 3 divided by 5 is 0.6

What is the experimental probability that the sum of the next two numbers rolled is greater than 5

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the probability is 3/5 4/5

A kitchen garbage can is 5/10 full. A garbage truck is 1/10 full. Wich is less full?

Answers

the kitchen garbage is 50% full
the truck is 10% full
which percent is less

the one that is filled the less would be the garbage can because the truck would get filled even more.

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