Answer:
0.75 .......................
Find the inverse of each function
1. f(x) = 4/(x+2) - 2
2. f(x)= -2x^5 - 3
9514 1404 393
Answer:
1. f^-1(x) = 4/(x+2) -2
2. f^-1(x) = (-(x+3)/2)^(1/5)
Step-by-step explanation:
1. As with all "inverse function" problems, solve for y:
x = f(y)
x +2 = 4/(y +2) . . . . add 2
y +2 = 4/(x +2) . . . . . multiply by (y+2)/(x+2)
y = 4/(x+2) -2 . . . . . subtract 2
We see that this function is its own inverse. The attached graph shows it is symmetrical about the line y=x.
f^-1(x) = 4/(x+2) -2
__
2. x = f(y)
x +3 = -2y^5 . . . . add 3
-(x +3)/2 = y^5 . . . . . divide by 2
(-(x +3)/2)^(1/5) = y . . . . take the 5th root
f^-1(x) = (-(x +3)/2)^(1/5)
In typeset form, that is ...
[tex]\displaystyle f^{-1}(x)=\sqrt[5]{\frac{-(x+3)}{2}}\\\\\text{or}\\\\f^{-1}(x)=-\frac{1}{2}\sqrt[5]{16x +48}[/tex]
This last version is with the denominator "rationalized" and the contents of the radical "simplified." It may be a preferred form.
_____
The graphs show the function and inverse are symmetrical about the line y=x, as they should be.
Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?
Answer:
$124.95Step-by-step explanation:
The length of the strip is equal to perimeter of the kitchen.
P = 2(4.2 + 6.3) = 21 mCost of the strip is:
21*$5.95 = $124.95Collect like terms and then arrange them in descending order.
- 4x + 8x? - 2x + 3x? + 1
Answer:
i think the answer is 5x+1 that how i was taught srry if its wrong
Identify the Texas Governor who resigned his office in order to lead Texas Troops in the U.S. vs Mexican War.
Answer:
Sam Houston
Sam Houston, c. 1850
7th Governor of Texas
In office December 21, 1859 – March 15, 1861
Lieutenant Edward Clark
Step-by-step explanation:
If f(x) = –3x – 2, what is f(–5)?
Answer:
f(-5) = 13
Step-by-step explanation:
Substitute x with -5
f(-5) = -3 (-5) - 2
=> 15 - 2
=> 13
hope this helps and is right. p.s. i really need brainliest :)
if this is wrong then I am incredibly sorry!
original price $125 discount ? sale price $81.25
Answer:(125-81.25)/125 = 0.35 = 35%
Step-by-step explanation:
What is the probability of randomly choosing a white marble from a bag of
12 red, 12 white, 12 blue and 12 green marbles?
1/2
1/3
O 1/4
1/8
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
viola!
hope this helped!
Answer:
1/4
Step-by-step explanation:
if there are 12 white marbles
and there are 48 in total
you have a probability of picking one 12/48
if you simplify this, you get 1/4!
hope this helped!
Use the slope formula to find the slope of the line through the points (−1,−2) and (9,−10)
Answer:
-4/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-10-(-2))/(9-(-1))
m=(-10+2)/(9+1)
m=-8/10
simplify
m=-4/5
I need to know the area!!!
Answer:
Area of Grass = 6 m²
Area of Cement = 24 m²
Area of Grass and Cement Together = 30 m²
Step-by-step explanation:
Area of Grass = 3m × 2m = 6m²
Area of Cement = (6m × 5m) - 6m² = 30m² - 6m² = 24m²
Area of Grass and Cement Together = 6m² + 24m² = 30m²
The population of racoons in a town increased by 10% from Year 1 to Year 2. The population of racoons in Year 2 is 66.
Answer:
59.4 year one
Step-by-step explanation:
i dont know if this what you mean but i think this is what you mean
Can a triangle be made using the side lengths of 8, 2, 10?
a
Yes.
b
No, the sum of the shortest sides measures less than the longest side.
c
No, the sum of the shortest sides measure is equal to the longest side.
Answer:
c
Step-by-step explanation:
I'm not completely sure if this is right, but i hope it is :/
Assume that y varies inversely as x. If, y, is 2.4 when x = 5, which is an equation that relates x and y?
Advanced Calculation Question:
Your patient weighs 150 kg. The ordered dose is 3 mEq/kg/hour to be given over 1 hour. The available
the medication is 1 mEq/mL. Over a one hour period _mL will be administered.
what is the simplified form of 48\192?
[tex] \sqrt[?]{?} [/tex]
help please and explain (no links and random answers for points)
Answer:
No 2 answer is 6\8 i.e 3\4 for the one eaten and 2\8 i.e 1\4 for the left over
Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !
Answer:
positive it is moving to the positive side of the graph
Which is the graph of f(x)=4(1/2)x
Answer:
here's the graph
Step-by-step explanation:
Please help me solve this problem and explain the steps
Answer:
1086ft squared
Step-by-step explanation:
write a letter to your friend telling her how you are coping in your new senior school
Answer:
?
Step-by-step explanation:
Which expressions are equivalent to 6x−18 ?
Answer:
x + 5x - 18, 3(2x - 6), 2(3x - 9).
Step-by-step explanation:
x + 5x - 18
6x - 18
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
3(2x - 6)
6x - 18
2(3x - 9)
6x - 18
6(x - 18)
6x - 108
The expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Solve all the given options,
Option A,
x + 5x - 18
6x - 18
Option, B
x + x + x - 10 - 8
3x - 10 - 8
3x - 18
Option, C
3(2x - 6)
6x - 18
Option,D
2(3x - 9)
6x - 18
Option,E
6(x - 18)
6x - 108
Therefore, the expression which are equivalent to 6x−18 are x + 5x - 18, 3(2x - 6), 2(3x - 9). The correct options are A, C, and D.
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What kind of shape is this?
A. Pentagon
B. Quadrilateral
C. Triangle
D. Hexagon
. A farm stand displays 3 baskets with 12 peaches in each basket and 2 baskets with 15 plums in each basket. A customer buys 8 pieces of fruit. Which equation shows how to find the number of peaches and plums, p, in the basket? *
1 point
3 + 12 x 2 + 15 - 8 = p
12 -3 + 15 - 2 x 8 = p
3 x 12 + 2 x 15 + 8 = p
3 x 12 + 2 x 15 - 8 = p
PLZZ HELP ME SOMONE NO FILES TO I NEED IT BY TODAY THIS WILL REALLY HELP ME!!!!!!!!!!
Step-by-step explanation:
the last one is the answer
Triangle ABC and triangle DEF are similar. What is the measure of side DF?
In a manufacturing process, the assembly line speed (feet per minute) is believed to affect the number of defective parts found during the inspection process. Data (File 3) are collected on the number of defective parts for a variety of line speeds. Develop a linear regression equation that can be used to predict the number of defective parts given the line speed.
Line Speed Number of Defective Parts Found
20 21
20 19
40 15
30 16
60 14
40 17
Required:
a. Develop a scatter chart with line speed as the independent variable. What does the chart indicate about the relationship between line speed and the number of defective parts found?
b. Use the data to develop an estimated regression equation that could be used to predict the number of defective parts found, given the line speed. What is the estimated regression model?
c. Test whether each of the regression parameters βo and β1 is equal to zero at 0.01 level of significance. What are the correct interpretations of the estimated regression parameters?
d. How much of the variation in the number of defective parts found for the sample data does the model you estimated in part (b) explain?
Answer:
Jaime foxcgvxccvyyvytctvtvffddrgfgqvrctcrgctgtgtgygyg goku is the site
Determine another point on the line given two points on the line. (-2, 9), (2, -1)
Answer:
(4,-6)
Step-by-step explanation:
1) First, let's find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the x and y values of (-2,9) and (2,-1) into it, then solve:
[tex]m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}[/tex]
So, the slope of the line is [tex]-\frac{5}{2}[/tex].
2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is [tex]\frac{rise}{run}[/tex]. So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).
6. Priya can type 40 words per minute. Typing at that same rate, about
how many words can she type in 30 minutes?
Answer:
1200
Step-by-step explanation:
40 x 30=1200
A density graph for all of the possible temperatures from 60 degrees to 160 degrees can be used to find which of the following?
A.The probability of a temperature from 30 degrees to 120 degrees
B.The probability of a temperature from 90 degrees to 180 degrees
C.The probability of a temperature from 30 degrees to 90 degrees
D.The probability of a temperature from 90 degrees to 120 degrees
Answer: 90 degrees to 120
Step-by-step explanation:
The probability of a temperature from 90 degrees to 120 degrees.
What is Probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Experiment: A trial or an operation conducted to produce an outcome is called an experiment.
Sample Space: All the possible outcomes of an experiment together constitute a sample space. For example, the sample space of tossing a coin is head and tail.
Favorable Outcome: An event that has produced the desired result or expected event is called a favorable outcome. For example, when we roll two dice, the possible/favorable outcomes of getting the sum of numbers on the two dice as 4 are (1,3), (2,2), and (3,1).
Trial: A trial denotes doing a random experiment.
Given:
Temperatures from 60 degrees to 160 degrees.
As, per the situation the probability will lie between 60 degree to 160 degree.
Hence, The probability of a temperature from 90 degrees to 120 degrees.
Learn more about probability here:
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find the size of each sample needed to estimate the difference between the proportions of boys and girls under 10 years old who are afraid of spiders. Assume that we want a 95% confidence level and that the error is smaller than 0.03.
Answer:
sample
Step-by-step explanation:
PLEASE HELP 11 POINTS FOR THE CORRECT ANSWER
Answer:
[tex]\sqrt{43}[/tex]
Step-by-step explanation:
There are 5 cups of tea in the pitcher. There are 10 fluid ounces of tea in the glass. In fluid ounces, how much more tea is in the pitcher than in the glass? Type in! QUICK!
Answer:
30 fl oz
Step-by-step explanation:
1 c = 8 fl oz
5c = 40 fl oz
40 fl oz - 10 fl oz = 30 fl oz
Answer:
3 fl oz
Step-by-step explanation: