Answer: 2 and 1/10
Step-by-step explanation: To subtract mixed numbers, we first subtract the fractions.
Notice that 1/2 and 2/5 are unlike fractions so we need a common denominator which in this case is 10. <em>If you need a review on how to find the common denominator for these fractions, let me know in the comments below and I will be more than happy to explain</em>.
To get a 10 in the denominator of 1/2, we multiply the numerator and the denominator by 5 to get 5/10. To get a 10 in the denominator of 2/5, we multiply the numerator and denominator by 2 to get 4/10.
So we have 4 and 5/10 - 2 and 4/10.
Subtracting the fractions, 5/10 - 4/10 is 1/10 and subtracting the whole numbers, 4 - 2 is 2. So 4 and 1/2 - 2 and 2/5 is 2 and 1/10.
Answer:
f
Step-by-step explanation:
lt's a composition of two small functions
The answer is:
___________________________________________________
[D]: "3 miles; it represents the original distance of the bird from its nest."
________________________________________________________
Good evening
Answer:
<em>a) the cost of one apple is €</em><em>0.9</em>
<em>b) the cost of one pineapple is €</em><em>5.4</em>
<em>c) the cost of two pineapples and six apples is €</em><em>16.2</em>
Step-by-step explanation:
Consider P the price of a pineapple
A the price of an apple
A pineapple costs six times as much as an apple means P = 6A
Mum paid €7.20 for one pineapple and two apples means P + 2A = 7.20
then
6A + 2A = 7.20
then
8A = 7.20
then
A = €0.9
Since P = 6A then P = 6×(0.9) = €5.4
the cost of two pineapples and six apples
= 2P + 6A
= 2P + P
= 3P
= 3×(5.4)
= €16.2
Answer: 3/10
Step-by-step explanation:
Take the derivative of
to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:

There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value