Answer:
hi, have a great day
Step-by-step explanation:
Correct option is
B
f(x)=x
2
+6
f(g(x))=h=4x
2
+4x+7=(2x+1)
2
+6=(g(x))
2
+6
⇒f(x)=x
2
+6
Answer:
13 ingredients
Step-by-step explanation:
The number of different recipes that can be made from 2 ingredients = 78
Since there are no two recipes that share the exact same two ingredients ;
The number of recipes in Mark's kitchen is:
nCk = 78
k = Number of ingredients per recipe = 2
n = total number of ingredients in kitchen
Total recipes made = 78
n! / (n-r)!r! = 78
n! / (n - 2)!2! = 78
n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78
n(n - 1) / 2 = 78
n(n-1) = 156
n² - n = 156
n² - n - 156 = 0
Factorize :
n² - 13n + 12n - 156 = 0
n(n - 13) +12(n-13) = 0
(n-13) = 0 ; (n+12) = 0
n = 13 or n = - 12
n cannot be negative
Hence, n = 13
Number of ingredients is 13
<u>Given</u>:
Given that the radius of the cylinder is 6 m.
The height of the cylinder is 7 m.
We need to determine the surface area of the cylinder.
<u>Surface area of the cylinder:</u>
The surface area of the cylinder can be determined using the formula,
where r is the radius and h is the height of the cylinder.
Substituting r = 6 and h = 7 in the above formula, we get;
Simplifying, we get;
Multiplying, we get;
Thus, the surface area of the cylinder is 489.84 square meters.
Hence, Option a is the correct answer.
Answer: 16,000 Miles
How I got that? well I was taught that if the number is 5 or higher you should round it off to the left by 1... I basically just ad a 1 to the 15 because the 6 was higher than 5 so I got 15,680 - 16,000.
1.75% of $1448.00 is $25.34. So The monthly financial charge is $25.34.
If this was annually.....the cost would be $304.08 annually :)
