Which of the following expressions is the inverse of the function y=3x+4
2 answers:
To find the inverse of a function, we swap x and y then solve for y
So with this, we take y = 3x + 4 and make it x = 3y + 4. Now we solve for y
x = 3y + 4
Subtract 4 from both sides
x - 4 = 3y
Divide both sides by 3
So with this, we take y = 3x + 4 and make it x = 3y + 4. Now we solve for y
x = 3y + 4
Subtract 4 from both sides
x - 4 = 3y
Divide both sides by 3
Options:
A. y = 3x - 4
B. y = -3x - 4
C. y = x - 4 / 3
D. y = x + 4 / 3
The answer is option C when your doing inverse functions you need to switch the variables but substituting x with y. So, the equation would look like this:
- y = 3x + 4 ---> x = 3y + 4
- x = 3y + 4
- Subtract 4 on both sides:
- Then divide 3 on both sides: "
or option C "
Hope this helps!
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we have 630 one-inch unit cubes and we want to completely fill the rectangular box (unknown dimensions).
If all the cubes are fitted tightly inside rectangular box without living any space, then box volume would be equal to cubes volume.
There are 630 one-inch unit cubes, so volume of cubes = 630 cubic inches.
Now the volume of rectangular box would also be 630 cubic inches.
We know the formula for volume of rectangular box = length × width × height.
So we need to find any three positive integers whose product is 630.
Out of all given choices, only option A satisfies the condition of factors of 630.
Hence, option A i.e. (7 in x 9 in x 10 in) is the final answer.
