Answer:
m = -7
Step-by-step explanation:
1) expand: 2/9m-16/9=2/3m+4/3
2) add 16/9 to both sides:
2/9m-16/9+16/9=2/3m+4/3+16/9
3) simplify: 2/9m=28/9+2/3m
4) subtract 2/3 m from both sides:
2/9m-2/3m= 28/9+2/3m-2/3m
5) simplify: -4/9m=28/9
6) m=-7
12.1 because 9 is greater than 5.
If she picks 2/4 in half an hour she must pick 1.5 in an hour (2/4 x 2) so times that by 2 then its 3
Answer:
(h o k) (3) = 3
(k o h) (-4b) = -4b
Step-by-step explanation:
An inverse function is the opposite of a function. An easy way to find inverse functions is to treat the evaluator like another variable, then solve for the input variable in terms of the evaluator. One property of inverse functions is that when one finds the composition of inverse functions, the result is the input value, no matter the order in which one uses the functions in the combination. This is because all terms in a function and their inverse cancel each other and the result is the input. Thus, when one multiplies two functions that are inverse of each other, no matter the input, the output will always be the input value.
This holds true in this case, it is given that (h) and (k) are inverses. While one is not given the actual function, one knows that the composition of the functions (h) and (k) will result in the input variable. Therefore, even though different numbers are being evaluated in the composition, the output will always be the input.
When you multiply a whole number by a fraction, you multiply the whole number by the numerator (top) of the fraction and you end up with an improper fraction. This question simply wants you to multiply the whole number by the numerator, then multiply that whole number by the remaining fraction.
= 4 * 2/6
multiply 4 by the numerator
=(4*2)/6
multiply 4*2 then separate from the remaining 1/6 fraction
=8 * 1/6
ANSWER: 8 * 1/6
Hope this helps! :)
