Step-by-step explanation:
Given
To get g(x), we will have to integrate g'(x)
If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2
The answer is B. 120
nCr = n! / ((r! * (n - r)!)
n = 10
r = 3
10C3 = 10! / ((3! * (10 - 3)!)
= 10! / ((3! * 7!)
= (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
= 3628800 / 30240
= 120
60.
Multiply
3 by 20.
You can do this on paper,
20
x
3
____
60
Multiply the ones spot first, 0 x 3 is 0 so add that in your ones spot, then go 2x3 since nothing is under to, just go to 3 and you’ll get 6, which you add to the tens spot.
Have a good day!
Answer:
It is proportional
Step-by-step explanation:
To determine if its proportional/non-proportional is by using ratios
so go line by line
p pine and k oak
12 pine to 44 oak
18 pine to 66 oak
24 pine to 88 oak
30 pine to 110 oak
Start with the first line
p= pine per k= oak
so obviously not numbers but to help mind you it just means the numbers will be put as p/k (to make life simpler)
Or pine over oak
Second Line
12/44 which reduces down to 3/11
Third Line
18/66 which reduces down to 3/11
Fourth line
24/88 which reduces down to 3/11
Fifth line
30/110 which reduces down to 3/11
In order to be proportional the ratios all have to be equivalent to each other
Therefore,
3/11 = 3/11 = 3/11 = 3/11
So this is proportional
32 is the GCF of the whole numbers and up to x2 can go into both
The answer should be 32x2
Hope this helps