Answer:
Grows, Factor of 2
Step-by-step explanation:
The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total number of its branches, N(t), is modeled by the function:
For illustration, let us take the growth for the first three years after he started studying the number of branches.
We notice that for each subsequent year, the number of branches doubles.
Therefore:
Every year, the number of branches <u>grows</u> by a factor of <u>2.</u>
for #3:
a) 0.9
b) 0.4
c) 0.7
d) 0.08
e) 3.9
f) 1.6
g) 5.5
h) 12.4
And for #4:
The answer is $131.63
Nathan earns 9.75 dollars in <u>one</u> hour, and you want to figure out how many he makes in <u>thirteen and a half</u> hours. To do this, just multiply 9.75 by 13.5.
9.75*13.5 is 131.625. However, money only goes to the hundredths place, which means there are only 2 decimal places. This means you should <u>round 131.625 to the hundredths place</u>, which makes 131.63.
Answer:
f(2) = 0
Step-by-step explanation:
Function f(t) is defined in three different ways depending on the value of t.
For t = 8, function f(t) is -64/t.
For t = 10, function f(t) is 14 - t.
We are not asked about f(8) or f(10). We are asked about f(2). The third definition of function f(t) is for all values of t that are not 8 or 10. 2 is not 8 or 10, so use the third definition of function f(t) and plug in 2 for t.
f(t) = t^2 - 3t + 2 for t not equal to 8 or 10.
f(2) = 2^2 - 3(2) + 2
f(2) = 4 - 6 + 2
f(2) = 0
It is 2x(x-7)+3(x-7) = (2x+3)(x-7)
In this question, each package has 8 notecards.
one notecard costs $8
2 notecards cost $16
3 notecards cost $24
if n - number of packages
d - selling price in dollars
We can see that with each additional notecard bought the cost increases by $8
therefore there's a proportional relationship between n and d
As n increases, d increases by the same amount.
if we put it in an equation,
d = 8*n
n - 1 package and d is 8
if n - 2
d = 8*2
d = 16
Therefore we can use the following equation;
d=8n
