All categories

3 years ago

Which function below is the inverse of f(x)= 7x-1/2

1 answer:

8 0

$f(x)=7x-\dfrac{1}{2}\to y=7x-\dfrac{1}{2}\\\\\text{we change x to y and y to x}\\\\x=7y-\dfrac{1}{2}\\\\\text{solve for y}\\\\7y-\dfrac{1}{2}=x\ \ \ \ |+\dfrac{1}{2}\\\\7y=x+\dfrac{1}{2}\ \ \ \ \ |:7\\\\\boxed{y=\dfrac{1}{7}x+\dfrac{1}{14}}\\\\Answer:\ \boxed{f^{-1}(x)=\dfrac{1}{7}x+\dfrac{1}{14}}$

You might be interested in

The 18 faculty members in a college math department range in age from 32 to 68. A stem plot follows: The first and third quartil

valentina_108 [34]

Answer:

$Q_{1}=39, \:and\: Q_{3}=58$

Step-by-step explanation:

1) This Stem and Leaf plot works like a Histogram. Completing the question, check below the Stem plot. Look the data out of the Stem plot and within (in the graph below)

32, 34 , 38 , 39 , 39 , 40 , 43 , 45 , 46 , 49 , 53 , 54 , 57 , 58 , 59 , 59 , 63 , 68

2) Notice how the first digit is on the Stem column (check below)

3) To find the first and Third Quartiles

Let's use the formulas to find the position, then the value. As it follows:

$Q_3=\frac{3}{4}(n+1) \Rightarrow Q_3=\frac{3}{4}(18+1) Q_3=14.25 \approx14th =58$

$Q_1=\frac{(n+1)}{4} \Rightarrow Q_1=4.75 th \approx Q_1 =5th =39$

4 0

3 years ago

A factory makes rectangular sheets of cardboard, each with an area of 2 1 2square feet. Each sheet of cardboard can be cut into

hodyreva [135]

Answer:

2 1/7 pieces

Step-by-step explanation:

A factory makes rectangular sheets of cardboard, each with an area 2 1/2 square feet. Each sheet of cardboard can be cut into smaller pieces of cardboard measuring 1 1/6 square feet. How many smaller pieces of cardboard does each sheet of cardboard provide?

Each sheet of cardboard = 2 1/2 square feet

Each smaller pieces of cardboard = 1 1/6 square feet

Number of smaller pieces of cardboard per sheet of cardboard = Each sheet of cardboard ÷

Each smaller pieces of cardboard

= 2 1/2 square feet ÷ 1 1/6 square feet

= 5/2 ÷ 7/6

= 5/2 × 6/7

= (5*6) / (2*7)

= 30/14

= 15/7

= 2 1/7 pieces

Number of smaller pieces of cardboard per sheet of cardboard = 2 1/7 pieces

6 0

3 years ago

Can someone explain to me how to round to the nearest 10 dollars?

Leni [432]

Pinpoint the ten's place.
look at the one's place. It is a digit ≥5, round up. If it is digit <5, round down.
all the digits to the right of the ten's place becomes 0.
for example, if you are given $216.23, the ten's place is a 1. Look at the number to the right of it, the one's place is a 6, bigger than 5, so you round up, the 1 becomes a 2. the result is $220.00
if you are given $214.23, the 1 stays a 1 because 4 is smaller than 5, the result is $210.00

3 0

2 years ago

Give me examples of equivalent expressions of square root 54 with a radican of 3

stepan [7]

Try this answer 3√54

8 0

2 years ago

PLEASE HELP<br><br> solve the following:<br><br> two and two thirds − one and one third

alina1380 [7]

Answer:

we know that and means adding so.

from the question

2+2/3-1+1/3

=1+2/3+1/3

=(3+2+1)/3

=6/3

6 0

2 years ago