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Alika [10]
3 years ago
5

What is the domain of f(x)=√(x)?

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Answer:  x is x≥0 x ≥ 0

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Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x
julsineya [31]
The average rate of change for this is the slope of the secant line that connects those 2 points (3, y) and (15, y).  What we need for the slope formula of change in y over change in x are the y values which are unknown as of right now. We can find them though! Don't worry! The equation is y = .01(2)^x. Using that equation, let's sub in both the 3 and the 15 and find the corresponding y values. Subbing in first a 3 gives you y = .01(2)^3, and y = .08.  Subbing in a 15 gives you y = .01(2)^15 and y = 327.68. Now we have the coordinates we need to find the slope of the secant line connecting those 2 points: (3, .08) and (15, 327.6). Fitting those into the slope formula gives us (327.68-.08)/(15-3). Simplifying that is 327.6/12 which divides out to 27.3
3 0
3 years ago
Suppose a geometric sequence has a common ratio of 5. What is the next term after 9?
creativ13 [48]

Answer:

<h2>            45</h2>

Step-by-step explanation:

a_{n+1}=a_n\cdot r

So, if the common ratio is 5 the next term is always 5 times the previous term.

<h3>9·5 = 45</h3>
8 0
3 years ago
A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
zheka24 [161]

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3 years ago
Show that each of these conditional statements is a tautology by using truth tables. a) [¬p ∧ (p ∨ q)] → q b) [(p → q) ∧ (q → r)
nlexa [21]

Step-by-step explanation:

To show that a statement is a tautology using truth table - is to show that all the entries in the expression are truths T.

We can do this by taking each statement, expression by expression. For example, to show that

[~p ∧ (p ∨ q)] → q

is a tautology, knowing we have 3 columns, we have 2^3 = 8 rows. We start by putting putting truth values for p, q, and r respectively

Next, we find ~p, then find (p ∨ q), then find ~p ∧ (p ∨ q), before finally arriving at the required [~p ∧ (p ∨ q)] → q

TERMINOLOGIES AND SYMBOLS

- T means Truth

- F means False

- ~p means negation of p.

~p is F if p is T, and vice versa

- ∧ means conjunction.

p ∧ q is T only if p is T and q is T.

- ∨ means disjunction.

p ∨ q is T if either p or q is T.

- → is for conditional 'if then'

p → q is T if both p and q are T, or both p and q are F, or p is F and q is T, otherwise, it is F.

THE STEP BY STEP WORKINGS FOR THE STATEMENTS GIVEN ARE IN THE ATTACHMENT.

8 0
3 years ago
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Help I’m being timed and I need someone to do this quickly
S_A_V [24]

Answer: 1

Step-by-step explanation:

It's khan so ik the answer, Trust me

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