One way to do it is to use estimation. If we say 47 is near to 50 and 3381 is near to 3000 or 4000, we can see what magnitude the answer will be, so let’s take 50 and 3000 to start with. We can drop the last zero of each of these so we get 300÷5=60 so we only have tens and ones. Now let’s see what 50 and 4000 would give us: 80. Once again we only have tens and ones. So that tells us if we divide 3381 by 47 the number will consist of some tens and some ones. The tens digit in 3381 is 8, so we know that the first digit of the quotient must be over the 8. The time you spent reading the explanation I’ve given is longer than the time it would take you do this in your head! If you practice doing estimations like this regularly, you will probably make fewer mistakes. It only takes a few seconds once you get used to the method. Good luck!
When multiplying exponents, remember the first rule: when multiplying similar bases, add powers together. 52% + 56% =? The bases of the equation remain unchanged, while the exponents' values are added together. Adding the exponents is only a quick way to get at the answer. Simply add the exponents to multiply exponential expressions with the same base. Simplify. The product rule applies because the base of both exponents is a. With a common basis, add the exponents.
Graph 1 is the most accurate
this doesn’t make sense, put in a picture next time.
Start with the parent function f(x) = x³
Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.
Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate
Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x) is translated five units up
So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.