Directions: Graph each function using a table of Graph each values, then identify its key characteristics.
1
4. y=(1/2)x
Growth / Decay
»-(
Domain:
Range:
j-intercept:
Asymptote:
Answers
Answer:
Step-by-step explanation:
Given function is,
[tex]y=(\frac{1}{2})^x[/tex]
In the given exponential function,
Base of the function = [tex]\frac{1}{2}[/tex]
By the property of an exponential function,
1). If the base is between 0 and 1, function will be a growth function.
2). If the base is greater than 1, function will be a decay function.
Therefore, given function is a decay function.
Input-output table,
x -2 -1 0 1 2
y [tex](\frac{1}{2})^{-2}=4[/tex] [tex](\frac{1}{2})^{-1}=2[/tex] [tex](\frac{1}{2})^{0}=1[/tex] [tex](\frac{1}{2})^1=\frac{1}{2}[/tex] [tex](\frac{1}{2})^2=\frac{1}{4}[/tex]
By plotting these points we can get the graph of the function.
Domain: (-∞, ∞)
Range: (0, ∞)
y-intercept: 1
Asymptote: y = 0
Related Questions
The average winter snowfall for Syracuse, New York, for December, January, February is 27.5 inches per month. If Syracuse receives 24 inches of snow in December and 32 inches in Januar how much snow is required in February to exceed the 3 month average?
Answers
Answer: More than 26.5 inches
Step-by-step explanation:
Solve this equation :
[tex]\frac{32+24+x}{3} \geq 27.5[/tex]
x>26.5
Which of the following represents the factorization of the binomial below?
81x2 – 25y2
A. (9x - 5y)(9x - 5y)
B. (9x - 5y)(9x + 5y)
C. (9x - y)(x + 5y)
D. (9x + 5y)(9x + 5y)
Answers
Answer:
B. (9x - 5y)(9x + 5y)
Step-by-step explanation:
when you are factoring these, when you have a negative and a positive, there is a number that will cancel. in this case, when distributing the factors, the number 45xy and -45xy come up. those cancel.
"They kept on talking and kept on ooohing and aahing and Grandma Sands kept on interrupting breakfast..." (p 166) is an example of... *
5 points
personification
allusion
metaphor
onomatopoeia
Answers
Onomatopoeia: Imitate the sounds they describe.
In a craft activity, students are making flowers using ribbon. Each student will make one flower and each flower requires 18 inches of ribbon. About how many meters of ribbon are needed for 32 students? Note that 1 meter equals about 1.09 yards. Round to the nearest hundredths place.
Answers
Answer:
jbhhj
Step-by-step explanation:
kkkk
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answers
Will give brainliest for correct answer
Answers
Step-by-step explanation:
10. not a function (repeating x values)
11 Function
12 not a function (repeating x values)
What are the maximum, minimum, range and mean?
Answers
A true/false test has questions. A passing grade is % or more correct answers.
a. What is the probability that a person will guess correctly on one true/false question?
Answers
Answer:
50%
Step-by-step explanation:
Find the quadratic function that models the data as a function of x, the number of weeks. Use the model to estimate the number of fish at the lake on week 11.
Week : 0 1 2 3 4 5 6
Population : 495,483,481,489,507,535,573
Answers
Answer: b
f(x)=5x^2-17x+495
f(11)=913
Step-by-step explanation:
I did some research and found an exam review sheet that had this same problem (worked out). This was all that was written.
The quadratic function that models the data will be;
y = 5x² - 17x + 495
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The model to estimate the number of fish at the lake on week 11 are;
Week = 0, 1, 2, 3, 4, 5, 6
Population = 495, 483, 481, 489, 507, 535, 573
Now,
Let the quadratic equation is;
y = ax² + bx + c
Substitute x = 0 and y = 495, we get;
495 = a × 0 + b × 0 + c
c = 495
Substitute x = 1 and y = 483, we get;
483 = a × 1 + b × 1 + c
483 = a + b + 495
a + b = 483 - 495
a + b = - 12 ... (i)
Substitute x = 2 and y = 481, we get;
481 = a × 4 + b × 2 + c
481 = 4a + 2b + 495
4a + 2b = 481 - 495
4a + 2b = - 14
2a + b = - 7 ... (ii)
Solve equation (i) and (ii), we get;
a = 5 and b = - 17
So, We get;
The quadratic equation is;
y = ax² + bx + c
y = 5x² - 17x + 495
Therefore, The quadratic function that models the data will be;
y = 5x² - 17x + 495
Learn more about the quadratic equation visit:
https://brainly.com/question/25841119
#SPJ2
In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?
Answers
Answer:
Step-by-step explanation: 5/10=1/2 - if one student are chosen, who plays soccer
4/9 if then the second student are chosen, who plays soccer
1/2*4/9=2/9 the probability that both students play soccer
Which image shows the position of
2
n a number line?
ОА
2
-1
0
1
OB.
th
1
-1
-3
- 2
2
3
Ос.
-2
0
-3
1
2
3
D.
+
-2
- 1
Answers
Answer:
b
Step-by-step explanation:
18
19
O 18-1/4
O
1/4"
1-1/4
Answers
Answer:
I think I don't understand the question
-4x+5>-5 solve the equation is it greater than or less than
Answers
Answer:
x>5/2
Step-by-step explanation:
-4x+5>-5
-4x>-10
4x>10
x>10/4
x>5/2
A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed
Answers
Answer: It’s B E and D
Step-by-step explanation:
What is the domain of f(x) = 9 - x^2
Answers
Answer:
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Locate the vertex of the parabola.
Tap for more steps...
(
0
,
9
)
The range of a parabola that opens down starts at its vertex
(
0
,
9
)
and extends to negative infinity.
Interval Notation:
(
−
∞
,
9
]
Set-Builder Notation:
{
y
|
y
≤
9
}
Determine the domain and range.
Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}
Range:
(
−
∞
,
9
]
,
{
y
|
y
≤
9
}
image of graph
(negative infinity, infinity)
Which expression is equivalent to the series
shown?
Answers
Answer:
I think, It is (a) The first oneStep-by-step explanation:
I hope that is useful for you :)
Answer:
The bottom left is the correct expression. The Second part is: 348255
Step-by-step explanation:
on edge, use summation formula for when the lower index isn't equal to 1
During the holiday season,
9,456 people visit the mall
every day. How many
people visit the mall in 7
Answers
If K is the center of the circle, which line segment is the radius?
Answers
the line segment KN is the radius
Which graph represents a direct variation?
Answers
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
PLEASE HELP! I WILL MARK BRAINIEST AND I WILL LOVE YOU SO MUCH!
Answers
Answer:
Step-by-step explanation:
c
3p + 10 = 2p + 21
a. 15
b. 17
c. 11
d. 21
Answers
Answer:
c. 11
Step-by-step explanation:
3p + 10 = 2p + 21
Subtract 2p from both sides.
3p - 2p + 10 = 2p - 2p + 21
Simplify.
p + 10 = 21
Subtract 10 from both sides.
p + 10 - 10 = 21 - 10
Simplify.
p = 11
Answer: c. 11
Answer:
c.11
Step-by-step explanation:
3+10=2+21
3+10−10=2+21−10
3=2+11
3−2=2+11−2p
=11
hope this helps
have a nice day
If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?
Answers
Answer:
-8,-5
Step-by-step explanation:
8,5 because the "m" is 5 squares down and 8 squares to the right.
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
Answers
Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
Evaluate the expression when a = 6 and x = -3.
-a+7x
Answers
Please help!!! These are the options
From the table Riley is moving forward on the interval [0,
A.4.5 B. 1.5 C.3 D.6.
It takes Riley A.3 B.4.5 C.6 D.1.5 seconds to swing forward,back and then return to her standing position. Riley reaches a maximum distance of A.6.75 B.38.9 C.1.5 D.55 inches of her starting position.
Answers
Answer:
From the table, Riley is moving forward on the interval [0,1.5].
I takes Riley 6 seconds to swing forward, back, and then return to her starting position.
Riley reaches a maximum distance of 38.9 inches from her starting position.
Step-by-step explanation:
PLATO/Edmentum
The blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
What is a table?Mathematical tables are collections of numbers that display the outcomes of calculations made using various inputs.
Given that in the table the position of Riley with respect to time. Also, If her position is ahead of its initial position it is positive, while if she is behind her initial position it is negative.
Now as per the table, the statements can be completed as,
Riley is moving forward on the interval [0, 1.5]It takes Riley 3 seconds to swing forward, back, and then return to her starting position.Riley reaches a maximum distance 55 of Inches from her starting position.Hence, the blanks in the given statements can be filled as [0,1.5], 3 seconds, and 55 inches, respectively.
Learn more about Table here:
https://brainly.com/question/10670417
#SPJ2
help help please i will mark u brill
Answers
Answer:
Step-by-step explanation:
u/4 + 9.9 = 16.9
Putting value of u = 24 in the equation
24/4 + 9.9 = 16.9
6 + 9.9 = 16.9
15.9 = 16.9
Bringing like terms on one
16.9 - 15.9 = 1
Step-by-step explanation:
u/4 + 9.9 = 16.9
Putting value of u = 24 in the equation
24/4 + 9.9 = 16.9
6 + 9.9 = 16.9
15.9 = 16.9
Bringing like terms on one
16.9 - 15.9 = 1
find the highest common factor of 63 and 81 please no links
Answers
Tell whether each kind of angle is Right, Acute or Obtuse angle. Write your answer inside the box.
Answers
Answer:
1. Right Angle
2. Acute Angle
3. Acute Angle
4. Obtuse Angle
5. Right Angle
Step-by-step explanation:
Please mark as brainliest
90 degrees = right angle
Less than 90 is acute
More than 90 is obtuse
Help someone I just need the answer
Answers
What is the volume of this container?
Answers
Answer:6000 cm3
Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3
