Which represents the inverse of the function f(x) = 4x?
h(x) = x + 4
h(x) = x -4
h(x) = 3
h(x) =
77 X
Answers
This is the same as h(x) = x/4
In decimal form, it would be h(x) = 0.25x
=============================================
Explanation:
Inverses undo the original function. The original function tells us to take any input (x) and multiply by 4 to get the output y = f(x) = 4x
To get the inverse, we reverse the operation applied here. The opposite of multiplication is division. So we'll divide by 4 instead of multiply by 4. This is why the answer is x/4 or (1/4)x
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Another approach is to do the following: Replace f(x) with y. Swap x and y. Solve for y
f(x) = 4x
y = 4x
x = 4y
4y = x
y = x/4
h(x) = x/4
We end up with the same result as before.
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Extra info:
For any real number x, the following two equations are true
h( f(x) ) = x
f( h(x) ) = x
Related Questions
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
Answers
The questions no l and p.
please help me as soon as possible!!!!!
Answers
Answer:
l = 2cosΘ p = see attachment
Step-by-step explanation:
√2+√2+2cos 4Θ
√2+√2(1 + cos 4Θ)
√2 + √2(2 cos² 2Θ)
√2 + √4 cos² 2Θ cos 2Θ = 2 cos²Θ - 1
√2 + 2cos 2Θ
√2(1 + cos 2Θ)
√4cos²Θ
2cosΘ
Answer:
Step-by-step explanation:
I'm only going to do the first one, because the tangent problem is going to give us both night mares.
Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).
cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1
2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2
2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4
(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2
sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2
=====================================
sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar. A medical center observed that about 60% of its morning appointments were with elderly patients. The table shows the results of a simulation used to represent the scenario. The numbers 0 to 5 represent appointments with elderly patients, and the numbers 6 to 9 represent appointments with other patients.
Answers
Answer:
1) 0.1504
2) 0.432
Step-by-step explanation:
1) The given information are;
The proportion of the morning appointments that are with elderly patients = 60%
The number of patients in the appointments = 10 patients
The proportion of the morning appointments that are with non-elderly patients = 100 - 60 = 40%
The binomial probability distribution is given as follows;
[tex]P(X = r) = \dbinom{n}{r}p^{r}\left (1-p \right )^{n-r}[/tex]
[tex]P(X = 0) = \dbinom{10}{0}0.6^{0}\left (1-0.6 \right )^{10}[/tex] = 0.000105
[tex]P(X = 1) = \dbinom{10}{1}0.6^{1}\left (1-0.6 \right )^{9}[/tex] = 0.0016
[tex]P(X = 2) = \dbinom{10}{2}0.6^{2}\left (1-0.6 \right )^{8}[/tex]= 0.01062
[tex]P(X = 3) = \dbinom{10}{3}0.6^{3}\left (1-0.6 \right )^{7}[/tex]= 0.0425
The probability that the first four patients are elderly is 0.000105 + 0.0016 + 0.1062 + 0.0425 = 0.1504
2) The probability that exactly 2 out of 3 morning patients are elderly patient is given as follows
[tex]P(X = 2) = \dbinom{3}{2}0.6^{2}\left (1-0.6 \right )^{1}[/tex]= 0.432
Answer:
Step-by-step explpointsanation:
Monica tosses a fair 6-sided die. If the roll is a prime number, then she wins that amount of dollars (so that, for example, if she rolls 3, then she wins 3 dollars). If the roll is composite, she wins nothing. Otherwise, she loses 3 dollars. What is the expected value of her winnings on one die toss? Express your answer as a dollar value to the nearest cent.
Answers
Answer:
Expected win = $15.17 to the nearest cent.
Step-by-step explanation:
Expected win = (1/6)*(1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2) = 15.167 or $15.17 to the nearest cent.
The positive expected value means that Monica wins 1.17 dollars on average for each roll.
==================================================
Explanation:
The sample space is {1,2,3,4,5,6} to represent the outcomes of the die.
Of that list, {2,3,5} are prime numbers. Note that 1 is not a prime number. It's not composite either. So Monica will lose money when she rolls a 1. If she rolls {4,6} then she wins 0 dollars.
For any single roll, the probability of landing on that value is 1/6
Multiply 1/6 by each winning amount. Then add up the products
(1/6)*(-3) + (1/6)*(2) + (1/6)*(3) + (1/6)*(0) + (1/6)*(5) + (1/6)*(0)
-3/6 + 2/6 + 3/6 + 5/6
(-3+2+3+5)/6
7/6
1.17 approximately
Monica will get about 1.17 dollars per roll on average. She only loses money on average if the expected value was negative.
Compare 6 ⋅ 108 to 3 ⋅ 106.
Answers
Answer:
6*108>3*106
Step-by-step explanation:
If you multiply 6, and 108, you would get 648.
And if you were to multiply 3 and 106 you would get 318. And 648>318.
Therefore, 6*108>3*106
3*106=318
COMPARE:
648(6*108) is greater than 318(3*106)
hope this helps <3 if you have any questions comment them ;)
Can someone please help with this question below!! i’ll put question 18 in another post right now
Answers
Answer: B
Step-by-step explanation:
In an equilateral triangle, altitudes are also medians. Thus, the bisect their vertex angles.
Hope it helps <3
Image attached: some sort of triangle stuff
Answers
Answer:
C
Step-by-step explanation:
On edg 2020
A company is building a new park in the shape of a circle with a 25 ft diameter. Portions of the new park will be covered with grass. A diagram of the park is given below, with the shaded region representing the areas that will be covered in grass. Use 3.14 for. Note: image is not drawn to scale. The area of the regions covered by grass is approximately sq ft.
Answers
Answer: The area of the regions covered by grass is approximately 313.375 sq ft.
Step-by-step explanation:
Given: A company is building a new park in the shape of a circle with a 25 ft diameter.
Then radius = [tex]\dfrac{25}{2}=12.5\ ft[/tex]
Required area = Area of circle - Area of rectangle + Area of triangle
Formula: Area of circle = [tex]\pi r^2[/tex]
Area of rectangle = length x width
Area of triangle = 0.5 x base x height
Area of circle = [tex](3.14)(12.5)^2=490.625\ \text{ft}^2[/tex]
Area of rectangle = 20 ft x 10ft = 200 ft²
Area of triangle = 0.5 x 7 x 6.5 = 22.75 ft²
Required area = 490.625 -200+22.75 = 313.375 ft²
Hence, The area of the regions covered by grass is approximately 313.375 sq ft.
What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x
Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1
Answers
Answer:
we need picture
Step-by-step explanation:
probaby d tho
ASAP 25 POINTS NEED TO KNOW NOW PLEASE
Variable x is 7 more than variable y Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y?
A:x= 11
X = y + 7
B:X= y + 7
X = y - 1
C:y = x + 8
y=x-1
D:y = 7x
y = x + 1
Answers
Answer:
x = y+7
x = y -1
Step-by-step explanation:
Variable x is 7 more than variable y
is means equals
x = y+7
Variable x is also 1 less than y
x = y -1
Charley sold 12 fruit baskets fir the school fund raiser. Maria sold 15 and Paul sold 18. If each fruit basket cost $18, how much money did they raise altogether
Answers
Answer:
$810 total raised
Step-by-step explanation:
Charley:
12 * $18 = $216
Maria:
15 * $18 = $270
Paul:
18 * $18 = $324
Total:
$324 + $270 + $216 = $810
Answer:
pls appreciate my efforts by markinf my answer as the brainliest......
Step-by-step explanation:
Charley raised = 12 *18 =$216
Maria raised =15*18 = $270
Paul raised = 18*18 = $ 324
total amount raised = $ 810
What is the value of x? (Use only the digits 0 - 9 and the decimal point, if needed, to write the number.)
x + 12.66 = 18
Answers
Answer: 5.34
Step-by-step explanation: 18 - 12.66 = 5.34
Whats up with brainly and the answers loading is it only me? someone comment ways to fix or im screwed
Answers
Answer: it's not working on my laptop but it seems to be working on the phone right now
Answer:
can somebody help asap !!!
Step-by-step explanation:
*PLEASE ANSWER ASAP* What is the area of this polygon on a coordinate plane?
Answers
Answer:
A. 14 square units
Step-by-step explanation:
Hey there :)
Well let's find the area of each individual rectangles.
Let's start with the side rectangle.
It has dimensions of 5*1 = 5.
5 square units
Now the 3 rectangles left have dimensions of 3*1=3,
3*3 = 9.
5+9=14
14 square units
Answer:
A, 14 square units
Step-by-step explanation:
What I would do is separate them into 4 shapes like the picture below
Because all of the shapes are rectangles, you can use the formula
[tex]A=L*W[/tex]
For shape #1, the length is 1 and the width is 3. Plot the numbers
[tex]A=1*3[/tex]
Multiply 1 by 3 to get
[tex]A=3[/tex]
The area of shape #1 is 3
The length and width of shape #2 and 3 are the same as 1, so you can multiply the area of shape #1 by 3 to get
[tex]3*3[/tex]
[tex]9[/tex]
The area of shape #1, 2, and 3 are 9.
Next, you want to find the area of shape #4 which has a length of 5 and a width of 1.
Use the same formula to get
[tex]A=5*1[/tex]
Multiply 5 by 1 to get
[tex]A=5[/tex]
The area of shape #4 is 5
The way to find the surface area of the whole figure is to add the area of all the shapes individually, or do what I did and add 5, to 9
[tex]A=5+9[/tex]
This gives you your answer which is
[tex]A=14[/tex]
Hope this helps.
Feel free to ask any more questions if you are confused.
Have a great day! :)
Given: F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2
Find FG H(2)
0 121
27
071
Answers
24
Explanation
The format of the question is convoluted, I will assume you mean:
F(x) = 2x - 4
G(x) = 3x + 2
H(x) = x^2
And you want to find FGH(2) ?
1) To evaluate H(2), substitute
x = 2 into the function H(x) = x^2
H(2) = 2^2 = 4
2) To evaluate G(H(2)) substitute
x = 4 (since this is value obtained from H(2)) into the function
G(x) = 3x + 2
G(4) = 12 + 2 = 14
3) To evaluate F(G(4)) substitute x = 14 into the function F(x) = 2x - 4
F(14) = 28 - 4 = 24
Answer:
FG H(2) = F*G*H(2) = 0
Step-by-step explanation:
Your F(x) = 2x - 4; GX) = 3x + 2; Hpx)=x2 requires a bit of guesswork for the reader to understand it. I believe you meant:
F(x) = 2x - 4; G(X) = 3x + 2; H(x)=x2 Find FG H(2)
First find F(2): f(2) = 2(2) - 4 = 0
Because this multiplicand is zero, further multiplication will result in zero also. Thus, the final answer is zero (0).
What is the value of log,(5)1252
3
5
15
25
Answers
Leah wants to carpet a room that is 12 feet wide and 15 feet long. Carpeting is sold by the square yard. Find the length and width of the room in yards. Then find the number of square yards needed to carpet the room.
Answers
Answer:
length: 5 yd
width: 4 yd
area: 20 yd^2
Step-by-step explanation:
1 yd = 3 ft
15 ft * (1 yd)/(3 ft) = 5 yd
12 ft * (1 yd)/(3 ft) = 4 yd
A = LW
A = 5 yd * 4 yd = 20 yd^2
Answer:
20 yd²
Step-by-step explanation:
1 yd = 3 ft =>
=>w = 12ft×yd/3ft = 4 yd
=> l = 15ft×yd/3ft = 5 yd
A = l × w
= 5yd × 4yd
= 20 yd²
Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A. 5 B. 6 C. 8 D. 9 E. 10
Answers
Answer:
A. 5
Step-by-step explanation:
6d+15<50
subtract 15 from both sides
6d<50-15
6d<35
divide both sides by 6
d<35/6
d<5 5/6
So he can only rent it for 5 days. If he rented for 6, it would be $51, which is too much.
Solving the given inequality for d, we get...
6d + 15 < 50
6d + 15-15 < 50-15 <<-- subtract 15 from both sides
6d < 35
6d/6 < 35/6 <<--- divide both sides by 6
d < 5.83
Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}
The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
Any larger value of d is not allowed as it would make the total cost go over $50
Notice how I'm rounding down regardless how close 5.83 is to 6
Mr. Avogadro started with 5.14x10^22 atoms of Pa-234. Ten days later Mr. Avogadro calculated the original sample had only 6.43 X 10^21 atoms of Pa-234. What's the half life of Pa-234? PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
is 1
step by step explanation:
Yvette likes to increase the distance she runs by 1% each day. If yesterday Yvette ran 10.75km, how much further is she going to run today?
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
The multiplier for 1% would be 1.01
Multiply her distance from yesterday by this value
new distance = 10.75 x 1.01
new distance = 10.8575
I'm assuming you'd want the answer to 2 d.p (however, you can round accordingly if needed otherwise)
Subtract the two values
10.8575 - 10.75 = 0.1075
So, to 2 d.p your answer would be 0.11 km
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Hope this helps:)
Why Taraaaaaaa >:C Can somebody please help me?
Answers
Answer:
4 hours
Step-by-step explanation:
3/5 of 8 hours
3/5 * 8 = 4.8 hours
Then she lost 1/6 of the 4.8 hours
4.8 * 1/6
.8
4.8 - .8 = 4
She got 4 hours of sleep
what's four to the six power times four to the seventh power
Answers
Answer:
67,108,864 or 4^13
Step-by-step explanation:
4^6*4^7=4^13 you basically just add the exponents since the base is the same.
Since these two powers have the same base of 4, you can multiply
them together by simply adding their exponents to get 4¹³.
This idea is called the product rule.
A common mistake in this problem would be to multiply
the bases together and give an answer of 16¹³.
It's important to understand however that the 4's in this problem can't
be multiplied together because they're not coefficients, they're bases.
When applying your exponent rules, your base will never change.
The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations?
Answers
Answer:
[tex]3x + 13y = 14[/tex]
[tex]6x + 11y = -2[/tex]
Step-by-step explanation:
See Attachment for complete question
To determine which of the options has (-4,2) as its solution; we have to test each linear combination until we arrive at an answer;
Given that
[tex](x,y) = (-4,2)[/tex]
Testing Option A
[tex]3x + 13y = 14[/tex]
[tex]6x + 11y = -2[/tex]
Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]3x + 13y = 14[/tex]
[tex]3(-4) + 13(2) = 14[/tex]
Open Brackets
[tex]-12 + 26 = 14[/tex]
[tex]14 = 14[/tex]
Substitute [tex]x = -4[/tex] and [tex]y = 2[/tex] in [tex]6x + 11y = -2[/tex]
[tex]6(-4) + 11(2) = -2[/tex]
Open Brackets
[tex]-24 + 22 = 2[/tex]
[tex]2 = 2[/tex]
In both cases, the expression on the right hand side equates to that on the left hand side;
Hence, there's no need to check for other options.
HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.
Answers
Answer:
29
Step-by-step explanation:
To find the lower quartile you need to split it into 2 by finding the median
Set A: 73, 75, 79, 81, 84, 85
Set B: 47, 49, 51, 51, 55, 56
Now you have to find the median of each
A: 80
B: 51
Lastly, you subtract and get 29
Answer two questions about Equations A and B:
A.
3(2+2) = 18
B.
2 + 2 = 6
1) How can we get Equation B from Equation A?
Answers
Answer:
All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.
What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 6.7
B. 7.5
C. 3
D. 12
Answers
=================================================
Work Shown:
Use the geometric mean formula to find that BD = 6
BD = geometric mean of AD and DC
BD = sqrt(AD*DC)
BD = sqrt(12*3)
BD = 6
Then use the pythagorean theorem to find the missing side for triangle BCD
a^2+b^2 = c^2
(CD)^2 + (BD)^2 = (BC)^2
3^2 + 6^2 = m^2
m^2 = 45
m = sqrt(45)
m = 6.70820393249937 approximately
m = 6.7 after rounding to one decimal place
What is the sum of the series *picture attached*
Answers
Answer:
[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]
Step-by-step explanation:
Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]
Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]
[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]
[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]
[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]
So, Option C is true
Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)
Answers
Answer:
(4,-1)
Step-by-step explanation:
The required coordinate of J is (1, 4). Hence the option c is correct.
Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1).
Rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.
While rotating the rectangle about origin clock wise, the new coordinates forms of rectangle J K L M has points ( 4, 1), (1, 1), (negative 1, 1), (negative1 , 4).
Thus, the required coordinate of J is (1, 4).
Learn more about rectangles here:
https://brainly.com/question/16021628
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What is the measure of ACE in the diagram below?
A. 46
B. 104
C. 29
D. 58
Answers
Answer:
C
Step-by-step explanation:
The secant- secant angle ACE is half the difference of the measures of the intercepted arcs, that is
∠ ACE = [tex]\frac{1}{2}[/tex] (AE - BD ) = [tex]\frac{1}{2}[/tex] (104 - 46)° = [tex]\frac{1}{2}[/tex] × 58° = 29° → C
***HOPE THIS HELP YOU***
The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?
Answers
Answer: -8 degrees
Step-by-step explanation: 12-4 is 8 so the difference is -8