Answer:
y = 4 * (7/4) ^x
Step-by-step explanation:
y = ab^x is the general form of an exponential function
where a is the initial value and b is the growth rate
We know 2 points, (0,4) or the initial value and (1,7)
a =4
y = 4 b^x
7 = 4 b^1
We can solve for b
Divide by 4
7/4 = b
y = 4 * (7/4) ^x
Answer:
593,775 ways
Step-by-step explanation:
24 donuts have to be selected from 7 different varieties of donuts
n = 7
r= 24
Repetition is allowed
C(n+r-1, r) = C(7 + 24 - 1 , 24)
= C(30,24)
Recall that C(n,r) = n! /(n-r)! r!
C(30,24) = 30!/(30 - 24)! 24!
= 30!/(6!24!)
= 593,775 ways
Solve as a proportion:
x = ?
Cross multiply:-
3 × 12 = 36
Divide:-
36 ÷ 9 = x
36 ÷ 9 = 4
x = 4
9/12 = 3/4
The unknown denominator is 4. <span />
In the given question there is an equation that has to be solved and the value of the unknown variable "M" has to be determined. It is absolutely possible to find the exact value of the variable "M" as there is 1 equation and 1 variable.
302 + 12 M = 278
12 M = 278 - 302
12 M = - 24
M = - (24/12)
= - 2
So the value of the unknown variable "M" comes out to be -2. I hope the procedure is clear enough for you to understand and also this is the answer you were looking forward to.
Answer:
-11
Step-by-step explanation:
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