Answer:
x + 3 / 2 = y
Step-by-step explanation:
to change a function to its inverse we need to do three basic things
1. change f(x) to y
so for the example i gave which is f(x) = 2x - 3; this will now be
y = 2x - 3
2. we need to switch the position of the x's and y's, that means x becomes y and y becomes x
x = 2y - 3
3. finally we make y the subject of the formula
x + 3/ 2 = y, this new expression for y is the inverse of the function and can be written as
f^-1(x) = x + 3/2
Answer:
UNLIKELY
Step-by-step explanation:
Given that:
Probability of rolling a six with a six sided nuner cube = 1/6
Required outcome / Total possible outcomes
Number of 6 / total sides of number cube = 1/6
The probability value obtained shows that there is a chance of getting a six ; however it is possible at about once in every 6 rolls of the dice.
Hence getting a six isn't impossible but the chance is small. A probability of 1/6 is the smallest that can be obtained for any of each number on the dice. Hence, it could be said that the likelihood is 'UNLIKELY'
Answer:
Rectangular Pyramid
Step-by-step explanation:
Rectangular Pyramid-It has 5 faces, 8 edges and 5 vertices.
Answer:
x = 26
Step-by-step explanation:
m<RTS = 4x - 14 (given)
Based on the inscribed angle theorem, the measure of the inscribed angle in a semicircle = right angle (90°)
Therefore,
4x - 14 = 90
4x - 14 + 14 = 90 + 14 (addition property of equality)
4x = 104
4x/4 = 104/4
x = 26
You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get
Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1
<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1
Thus you must travel at 42 mph for 4 hours
