Use complete sentences to analyze the graph of the function f(x) = log 1/3 x.Part 1: Describe the domain, range, and general shape of this graph. (4 points)
Part 2: Using complete sentences, explain how plotting specific points helps graph the function and note any critical points such as its intercepts.
Answers
Part 1:
Domain : x ∈ ( 0, + ∞ ).
Range: y ∈ R.
General shape: The graph is decreasing.
Part 2 :
We will choose those points: x = { 1/3, 1, 3, 9 }
Ordered pairs ( for graphing the function ) are :
f ( x ) = { ( 1/3, 1 ), ( 1. 0 ), ( 3, - 1 ), ( 9, - 2 ) }.
There is no y - intercept and x - intercept is 1.
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The product of two consecutive integers is 156. Find the integers. a. 10 and 13 b. 12 and 13 c. 12 and 11 d. 1 and 13
What is the intersection point of 2x+19y=3 and 1x-3=7y
Please help me write a expression~Write a rule so that for every input, the output is an even number!
An airplane ticket is 17 centimeters long and 9 centimeters tall. what is its perimeter?
Answers
im 100% right
2x-4+12x-8 (open the brackets)
2x+12x-4-8
14x-12
2(7x-6) (factorize it)
the correct answer is B
17x - 6 + 3x - 5 = x + 11 + 4x
Answers
The first thing to do is to get all the xs on the same side.
17x + 3x - x - 4x = 11 + 5 + 6
15x = 22
x = 22/15
The answer is x = 22/15
22 - 15 = 7
If this needs to be simplified, the answer is x = 1 7/15
Subtract 5x
Add 11
Divide by 15
Answers
Answer:
The least of the common factors of two or more numbers is the least common factor of the numbers.
Step-by-step explanation:
Answers
Answer: B) 6 minutes
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Explanation:
Let's find the slope of the table. This will tell us the rate of change.
m = slope
m = (y2-y1)/(x2-x1)
m = (25250 - 26375)/(2 - 1) .... I used the first two rows
m = -1125/1
m = -1125
The slope of -1125 means the plane's altitude is decreasing at a rate of 1125 feet per minute. This is the descent speed.
Since we're told the initial altitude was 27500 ft, this means b = 27500
This means y = mx+b turns into y = -1125x+27500
x is the number of minutes and y is the altitude at time x
As a way to check this, plug in various x values of the table. You should get corresponding y values that match the table. I'll let you do this part.
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Now plug in y = 16250 and solve for x
y = -1125x+27500
16250 = -1125x+27500
-1125x+27500 = 16250
-1125x = 16250-27500
-1125x = -11250
x = -11250/(-1125)
x = 10
It takes 10 minutes after the descent period has started, for the pilot to get to 16,250 ft.
Since the pilot was contacted at the x = 4 minute mark, this means 10-4 = 6 minutes is the duration needed for the pilot to go from 23,000 ft to 16,250 ft.
Answers
Answer: D
Step-by-step explanation:
Using the equation plot in the coordinates of the points to see if they fit the equation.
5x-3y < 30
A) 5(-3) -3(5) < 30
-15 -15 < 30
-30 < 30 This is true
B) 5(0) -3(0) < 30
0 - 0 < 30
0< 30 This is true
C) 5(-5) - 3(3) < 30
-25 - 9 < 30
-34 < 30 This is also true
D) 5(3) - 3(-5) < 30
15 + 15 < 30
30 < 30 This is not true because 30 is not greater that 30
Answers
Answer:
(4x-y)^2
Step-by-step explanation:
16x^2 - 8xy + y^2 = (4x)^2 - 2*4x*y + (y)^2 the square of the difference
= (4x-y)^2