To write fractions as decimals divide the numerator by the denominator, for example 3/4 3 divided by 4 equals 0.75 so 3/4 as a decimal is 0.75. If you want to do that with a mixed number, 3 3/4 3 divided by 4 equals 0.75 then add the 3 so 3 3/4 is equal to 3.75.
2 slices of watermelon. He divides it into 6 slices and 1/3 of 6 is 2m
Answer:
{f(x) | -∞ < f(x) ≤ 4 }
Step-by-step explanation:
The range is made up of the y values. Remember f(x) = y
In this graph the least value of y is -∞ and the greatest value of y is 4
So, the range is {f(x) | -∞ < f(x) ≤ 4 } which is the 2nd choice
From clue 3, we know that the three numbers average to 15. This means we add up the three numbers x,y and z and divide by 3 to get 15. So one equation is (x+y+z)/3 = 15 which turns into x+y+z = 45 after multiplying both sides by 3.
Let's say that x < y < z. In other words x is the smallest number, y is the middle and z is the largest. Based on clue 2, this would tell us that z = 8*x (since largest is 8 times the smallest). We can replace the 'z' in the equation x+y+z = 45 with 8x like so
x+y+z = 45
x+y+8x = 45 ... replace z with 8x
9x+y = 45
Now onto clue #1. The smallest number x is a prime number and it is 1/6 times the size of the middle number y. Put another way, the middle number y is 6 times larger than the smallest number. We have this equation y = 6*x
9x+y = 45
9x+6x = 45 ... replace ywith 6x
15x = 45
x = 45/15
x = 3 which is a prime number
Now that we know x = 3, we can use it to find y
y = 6*x = 6*3 = 18
and then use x = 3 to find z
z = 8*x = 8*3 = 24
Therefore the three mystery numbers are 3, 18, and 24. Note how these three values add to 3+18+24 = 45 which you then divide over 3 to get 45/3 = 15. So the average of the values 3, 18, 24 is the number 15. This helps confirm the answer.
Answer:
f^-1(x) = 1/4 x - 7/4
Step-by-step explanation:
f(x)=4x+7
Inverse:
x = 4y + 7
4y = x - 7
y = 1/4 x - 7/4
Answer
f^-1(x) = 1/4 x - 7/4
