Answer:
Yes f is a function of x
Step-by-step explanation:
f(x) means fuctoin of x thats what it stands for.
and it has a constant ratio of 1/2. Hope this helps!!
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Answer:
Domain is all Real Numbers and the Range is all Real Numbers.
Step-by-step explanation:
It is a function.
The graph of this function is a straight line passing through the x axis at (10,0) and the y-axis at (0,10). The line continues to the left and right without bounds.
So the Domain is all Real Numbers and the Range is all Real Numbers.
Answer: amplitude is 5 and Period is pi/2
Step-by-step explanation:
yes ♀️
Answer:
8 days
Step-by-step explanation:
On day 8, Isabella will save 256 nickels, bringing her total to 510.
_____
The number of nickels saved on day n is 2^n. The total is 2^(n+1)-2.
_____
The above can be written down from your knowledge of binary sequences. If you want a more formal development, read on.
__
The number of nickels saved on day n is a geometric sequence with first term 2 and common ratio 2. The n-th term of the sequence is ...
an = a1·r^(n-1) = 2·2^(n-1) = 2^n
The sum of n terms of the sequence is ...
S = a1(r^n -1)/(r -1) = 2(2^n -1)/(2-1)
S = 2^(n+1) -2
__
We want S > 500, so ...
500 < 2^(n+1) -2
502 < 2^(n+1)
251 < 2^n
log(251) < n·log(2)
n > log(251)/log(2)
n > 7.97 . . . . . . . . 8 days or more to save more than 500 nickels
Answer:
see below
Step-by-step explanation:
a. Has a slope of 2 and passes through (10,17)
Using the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substitute the point into the equation
17 = 2(10)+b
17 = 20+b
Subtract 20 from each side
17-20 =b
-3 =b
y = 2x-3
b. passes through (1,-4) and (2,-5)
First find the slope
m= (y2-y1)/(x2-x1)
= (-5- -4)/(2-1)
= (-5+4)/(2-1)
= -1/1
= -1
Using the slope intercept form
y = -x+b
Substitute a point into the equation
-4 = -1(1) +b
-4 = -1+b
Add 1 to each side
-3 = b
y = -x+3
