Step-by-step explanation:
Given
f(x) = 12x + 2
f^-1(x) = ?
Now
Let y = f(x)
or y = 12x + 2
Interchanging the role of x and y
x = 12y + 2
x - 2 = 12y
y = <u>x </u><u>-</u><u> </u><u>2</u>
12
Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>
12
Hope it will help you.
47000 is the original salary (100%)
3% of 47000 is :
0.03 x 47000
= 1410
you would make $1410 more
136.71-122.57=14.14 BUTTT 136.71+58=194.71
194.71-122.57=72.14
so its 72.14 (if multiple choice question and thats not on there, do 14.14 ONLY IF)
Answer:
you need 100ml of 5X TAE and 400ml of water.
Step-by-step explanation:
You need to use a rule of three:
where:
and
Therefore:
Then just rest the TAE volume to the final Volume and you get the amount of water that you need to reduce the concentration.
Option D is the correct answer.
Step-by-step explanation:
Step 1 :
Let A represent the cost of one bucket of apple and P represent the cost of one bucket of peaches.
So we have ,
4 buckets of apples and 5 buckets of peaches for $64
8 buckets of apples and 3 buckets of peaches for $72
Writing this in the equation form we have,
4A + 5P = 64
8A + 3P = 72
Step 2:
Solving for the above 2 equations we can get the required costs
Equation 1 is
4A + 5P = 64 , Multiplying this by 2 we have 8A + 10P = 128
Equation 2 = 8A + 3P = 72
Subtracting both we have , 7p = 56 = > P = 8
Substituting this in equation 1 we have
8A + 80 = 128 => A = 6
Hence the cost of one bucket of apple is $6 and the cost of one bucket of apple is $8.
Option D is the correct answer.
