In order to subtract two fractions, they need to have a common denominator which would be 12, so you need to change all the denominators to 12.
7/12 is still 7/12
1/6 is multiplied by 2/2 to become 2/12.
Then you can subtract.
7/12 - 2/12 = 5/12
So the simplest form would be 5/12
Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b * a^c = a^(b+c)
6^4 * 6^4 = 6^(4+4) = 6^8
Answer:
g(x) = 2x - 3
Step-by-step explanation:
The inverse of a function is the equation where x and y have switched places. If when you solve for y again, the function passes the vertical line test, the inverse if a function.
g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to y = (x-3)/2. This is a line and is a function y = 1/2 x - 3/2.
k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to . This is a function but only for certain values of x.
f(x) = |x+2| is an absolute value function. All absolute value functions do not have inverses which are functions.
w(x) = -20 does not have an inverse which is a function.
This means A is the solution.
Answer:
b=4
Step-by-step explanation:
g(x)=x^2+bx+11
When x = -1 g(x) = 8
8 = (-1)^2 +b(-1) +11
8 = 1 -b+11
Combine terms
8 = 12-b
Subtract 12 from each side
8-12 = 12-b-12
-4 = -b
Multiply by -1
4 = b
<h2>52</h2>
Step-by-step explanation:
Let the number of fruit trees planted additionally be
Initially it is given that there are trees.
Number of trees after planting additional trees is
Let the yield due to each tree after planting additional trees be
Initially it is given that
Yield due to each tree after planting trees is
=
To maximise yield,we take that value of for which
=
So, and
So,32 additional trees has to be planted to maximise yield.
So,there should be 52 trees in total