1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelechka [254]
3 years ago
13

Which of the following is a point on the graph of y=(1/2)^x?

Mathematics
2 answers:
Sidana [21]3 years ago
7 0

The third option is the answer

yan [13]3 years ago
5 0

\bf 1.~(0,0)~\hspace{5em}0=\left( \cfrac{1}{2} \right)^0\implies 0\ne 1\qquad \otimes \\\\\\ 2.~\left( 0,\frac{1}{2} \right)~\hspace{5em}\cfrac{1}{2}=\left( \cfrac{1}{2} \right)^0\implies \cfrac{1}{2}\ne 1\qquad \otimes


\bf 4.~(2,1)~\hspace{5em}1=\left( \cfrac{1}{2} \right)^2\implies 1=\cfrac{1^2}{2^2}\implies 1\ne \cfrac{1}{4}\qquad \otimes \\\\\\ 3.~\left(2,\frac{1}{4}  \right)~\hspace{5em}\cfrac{1}{4}=\left( \cfrac{1}{2} \right)^2\implies \cfrac{1}{4}=\cfrac{1^2}{2^2}\implies \cfrac{1}{4}=\cfrac{1}{4}\qquad \checkmark

You might be interested in
What is the relationship between a conjecture, a theorem, two column proof
Afina-wow [57]
Conjecture
is an educated guess based on known information. Reached by using inductive reasoning
4 0
3 years ago
PLEASE HELP! I’M SO CONFUSED!!
romanna [79]

Answer:

The answer is 7.

Step-by-step explanation:

4 divided  by 7 is 0.571428 these just keep repeating over and over again so the closest dividable number of 6 (6 is how many digits there are before it repeats) is 1998 so the 2nd digit in .571428 is 7 hope this helps.

8 0
3 years ago
Find an equation of the tangent line to the hyperbola y = 3/x at the point (3, 1).
Vesna [10]
Let's find the derivative of that hyperbola in order to find a slope formula to help us with this equation.  We already have an x and y value.  The derivative is found this way:  y'= \frac{x(0)-3(1)}{x^2} so  y'=- \frac{3}{x^2}.  The derivative supplies us with the slope formula we need to write the equation.  Sub in the x value of 3 to find what the slope is: y'=- \frac{3}{3^2}=- \frac{3}{9}=- \frac{1}{3}.  So in our slope-intercept equation, x = 3, y = 1, and m = -1/3.  Use these values to solve for b.  1=- \frac{1}{3}(3)+b  so b = 2.  The equation, then, for the line tangent to that hyperbola at that given point is y=- \frac{1}{3}x+2
6 0
3 years ago
Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu
Alecsey [184]

Answer:

) See annex

b) See annex

x  =  0,5 ft

y =  2 ft   and

V = 2 ft³

Step-by-step explanation:  See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x   ⇒ V = (3-2x)²*x    

V(x) =( 9 + 4x² - 12x )*x    ⇒   V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0              ⇒   12x² -24x +9 = 0     ⇒  4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get    x₁  =  1,5       and    x₂ =  0,5

We look at y = 3 - 2x    and see that the value x₂ is the only valid root

then

x  =  0,5 ft

y =    2 ft   and

V = 0,5*2*2

V = 2 ft³

7 0
2 years ago
If the federal reserve decreases the reserve rate from 2.5% to 1.25% how does this affect the amount of money that would result
kirza4 [7]
The correct answer for this question is this one: "D it increases by $1,800,000"
<span>If the federal reserve decreases the reserve rate from 2.5% to 1.25%,  this affect the amount of money that would result because of fractional reserve banking from an initial deposit in a bank of $45,000 is that </span><u>it increases by $1,800,000</u>Hope this helps answer your question and have a nice day ahead.
3 0
3 years ago
Other questions:
  • SIMPLIFY the expression! Please!
    6·2 answers
  • Please help don't answer if you don't know it thank you.
    13·2 answers
  • What’s the answer to 4+8
    11·1 answer
  • What's <br> 9 + (28 − 2) ÷ 0.2
    12·1 answer
  • Really easy i just don't feel like doing it, 10 extra points, (find x)
    9·1 answer
  • Fatima paid for 5 pallets of grass to be delivered each pallet cost $129.95. Fatima paid $76.20 for delivery. What is the total
    14·1 answer
  • I HATE THIS APP PEOPLE PUT FAKE ANWSERS ALL THE ONES I PUT WERE WRONG
    7·2 answers
  • You have been directed to trim $10,000 from the monthly warehouse
    7·2 answers
  • Which of these operations is not closed for polynomials?
    14·1 answer
  • NEED HELP!!!plssssssssssssss
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!