If the recursive formula is a(n)=a(n-1)+3 and a1=2 then the explicit formula is:
a(n)=2+3(n-1) which simplifies to
a(n)=2+3n-3
a(n)=3n-1 so the first three terms are a(1), a(2), and a(3) which are:
2, 5, and 8
Answer:
1
Step-by-step explanation:
cuz
Answer:
10 lb of cashews and 70 lb of peanuts
Step-by-step explanation:
Let x = the pounds of cashews.
Then 80 – x = the pounds of peanuts
Value of cashews + value of peanuts = volume of mixture
x×4.75 + (80 – x)×2.75 = 80×3 Remove parentheses
4.75x + 220 - 2.75x = 240 Combine like terms
2.00x + 220 = 240 Subtract 220 from each side
2.00x = 20 Divide each side by 2.00
x = 10 lb
80 - x = 80 – 10
80 - x = 70 lb
Max will mix 10 lb of cashews with 70 lb of peanuts.
=====
<em>Check:
</em>
10×4.75 + 70×2.75 = 80×3.00
47.50 + 192.50 = 240.00
240.00 = 240.00
Answer:
232.36
Step-by-step explanation:
double the radius and multiply by 3.14
<h3>Answers:</h3>
- (a) It is <u>never</u> one-to-one
- (b) It is <u>never</u> onto
=========================================================
Explanation:
The graph of any constant function is a horizontal flat line. The output is the same regardless of whatever input you select. Recall that a one-to-one function must pass the horizontal line test. Horizontal lines themselves fail this test. So this is sufficient to show we don't have a one-to-one function here.
Put another way: Let f(x) be a constant function. Let's say its output is 5. So f(x) = 5 no matter what you pick for x. We can then show that f(a) = f(b) = 5 where a,b are different values. This criteria is enough to show that f(x) is not one-to-one. A one-to-one function must have f(a) = f(b) lead directly to a = b. We cannot have a,b as different values.
----------------------------
The term "onto" in math, specifically when it concerns functions, refers to the idea of the entire range being accessible. If the range is the set of all real numbers, then we consider the function be onto. There's a bit more nuance, but this is the general idea.
With constant functions, we can only reach one output value (in that example above, it was the output 5). We fall very short of the goal of reaching all real numbers in the range. Therefore, this constant function and any constant function can never be onto.