Answer:
f¹(x) = x - 3
To find the inverse of a function, just "trade" and y and solve for the "new" y. The graph of the inverse is the reflection of the original function over the line y = x.
Rewrite the function f(x) = x + 3
as the equation y = x + 3
Trade x and y.
x = y + 3
Solve for the "new" y.
= y + 3
3 - 3
Subtract 3 from both sides
y = x= 3
The symbol for the inverse is f-¹(x)
f¹(x) = x - 3
Step-by-step explanation:
brainlies me plss
[tex]f(x) = x -3 \\\\\text{Write f(x) as}~ y = x -3}\\\\\text{Now replace x and y,}\\\\x = y-3\\\\\text{Solve for y:}\\\\y = x+3 \\\\\implies f^{-1}(x) = x +3 ,~ \text{This is the inverse of given function.}[/tex]
2. Michael Evans works a basic week of 40 hours. During a certain week he works 52 hours. If his weekly wage is $100.80 and overtime is paid at time and a half, what is his gross wage for the week? 3. In an engineering factory, employees work 38 hour basic Week. Any overtime worked from Monday to Friday is paid at time and half whilst overtime worked on Saturday and Sunday is paid at double time. If the basie wage is $2.48 per hour, find the gross ways for a man who works 12 hour overtime from Nlonday to Friday, 4 hours on Saturday and . 4 hours on Sunday
Answer: 3 :3 :3
$8.88
Step-by-step explanation:
Can someone help me with this I have a headache and don't have the time or energy to use my brain
Answer:
Step-by-step explanation:
Convert 101100 2 to decimal
Answer:
The answer is 101100
Please help me :0
What is the order of this matrix?
============================================================
Explanation:
The order of a matrix is a way of describing its size. Specifically, the order is represented in the form [tex]m \times n[/tex], where,
m = number of rowsn = number of columnsThe rows are laid out horizontally, and the columns are vertical.
In this case, we have 5 rows and 3 columns. Therefore, the answer is 5 x 3. The order is important because a 5 x 3 matrix is different from a 3 x 5 matrix.
what is 9x7write the answer down
Answer:
63
Step-by-step explanation:
random sample has been taken from a normal population and two confidence intervals constructed using exactly the same data. The two CIs are (38.02, 61.98) and (39.95, 60.05). (a) What is the value of the sample mean
The sample mean of the random sample is 50
The margin of error (E) is the amount of error allowed in the random sample.
The confidence interval (CI) is given by:
CI = μ ± E = (μ - E, μ + E)
Given a confidence interval of (38.02, 61.98), hence:
μ - E = 38.02 (1)
μ + E = 61.98 (2)
Hence solving equations 1 and 2 simultaneously gives:
μ = 50, E = 11.98
Hence the sample mean of the random sample is 50
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What the difference between Infinity and undefined
Step-by-step explanation:
Infinity means that it has no end to something
And undefined means something can't be defined
Answer:
Undefined means, it is impossible to solve.
Infinity means, it is without bound.
i need help on this math problem
Answer:
[tex]\sqrt{81}[/tex] = 9
[tex]\sqrt{169}[/tex] = 13
Step-by-step explanation:
Let be an angle in quadrant I such that sin +10 Find the exact values of sec 0 and tan 0.
Answer:
just look at picture's That's the answer
Bidula has to buy some cups of tea at the rate of Rs. 10 and 3 packets of biscuits at the rate of Rs. 45 .How many maximum cups of tea can she buy with Rs. 332?
Answer:
19 cups
Step-by-step explanation:
Let c represent the number of cups of tea. The total cost will be ...
10c +3(45) ≤ 332
10c ≤ 197 . . . . . . . . . . . subtract 135
c ≤ 19.7
Bidula can buy up to 19 cups of tea with ₹332.
(1.2•10^9) divided by (3•10^5)
Answer:
4000
Step-by-step explanation: First multiply the first two equations and will give you 1200000000 divided by 300000. Now logically 12/3is 4 so u do the same in the equation and it gives you 4000. Pls give brainly if i was right
Answer:
4000Step-by-step explanation:
(1.2•10^9) divided by (3•10^5)
(1.2 * 10^9) : (3 * 10^5) =
(1.2 * 1000000000) : (3 * 100000) =
1200000000 : 300000 =
4000
The radius of a circle is 16 ft. Find its area in terms of \pi
help me please !!!!!!
KS3 YEAR 8 maths!
super confused ♀️♀️
Answer:
9:29pm
Step-by-step explanation:
what is the area of the triangle?
Casey is in Florida when a Zombie Apocalypse suddenly breaks out in his area. He needs to help his family and friends cross a sinkhole to escape the marauding herd. Help Casey calculate the amount of rope he will need to zipline his family and friends to safety … don’t mess this up!
(a) Choose a point on the graph (using whole numbers) and use this point to form a triangle, making the red line one side of this triangle. Calculate the three midsegments of the triangle you created, these will stabilize the zipline. Show all of your calculations below and draw in your work in the image above.
(B) Calculate the perimeter of the triangle and the lengths of each midsegment. Add these together so that Casey knows just how much rope he will need to create this lifeline to safety. Show all of your work below. Only round off at the end of the problem. Round to the nearest hundredth digit.
Pleaseeee help 50 points I don't know how to make you brainliest but include that with the answer and I will make you brainliest plzz
Attaching ropes to the midsegment of the triangle formed ensures that the
zipline can more safely cross the family and friends to safety.
The amount of rope needed to create a lifeline to safety is approximately 46.56Reasons:
The coordinates of the endpoints of the redline = A(4, 3), and B(-8, -2)
The point selected, P = (4, -3)
[tex]\displaystyle Mid \ point \ of AB, \ D = \left(\frac{4 + (-8)}{2}, \ \frac{3 + (-2)}{2} \right) = \left(-2, \, 0.5\right)[/tex]
[tex]\displaystyle Mid \ point \ of AP, \ E = \left(\frac{4 +4}{2}, \ \frac{3 + (-3}{2} \right) = \left(4, \ 0 \right)[/tex]
[tex]\displaystyle Mid \ point \ of\, BP, \ F = \left(\frac{-8 +4}{2}, \ \frac{-2+ (-3}{2} \right) = \left(-2, \ -2.5\right)[/tex]
The lengths of the midsegments are found as follows
Length of DE = √((4 - (-2))² + (0 - (0.5))²) = 0.5·√(145)
Length of DF = √(((-2) - (-2))² + ((-2.5) - (0.5))²) = 3
Length of EF = √(((-2) - 4)² + ((-2.5) -0)²) = 6.5
(b) The length of side AB = √((4 - (-8))² + (3 - (-2))²) = 13
The length of side BP = √((4 - (-8))² + (-3 - (-2))²) = √(145)
The length of side AP = √((4 - 4)² + (-3 - 3)²) = 6
The perimeter of the triangle ΔABP = 13 + 6 + √(145) = 19 + √(145)
The amount of rope needed to create a lifeline to safety is therefore;
19 + √(145) + 0.5·√(145) + 3 + 6.5 = 28.5 + 1.5·√(145) ≈ 46.56
The amount of rope needed to create a lifeline to safety = 46.56
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The scatterplot shows the heights and arm spans of 12 girls on a basketball
team. The line of best fit for the scatterplot is y = x + 2. What is the predicted
arm span for a girl who is 61 inches tall?
72
70
68
Arm span (inches)
66
60
60 62 64 66 68 70 72
Height (inches)
Answer:63
Step-by-step explanation:
Took the test
Using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
What is the Line of Best Fit?The line of best fit for a scatter plot is modelled as y = mx = 2, where m is the slope and b is the initial value.
Given the equation of the line of best fit as, y = x + 2, to find the predicted arm span, y, for a girl who is 61 in. tall (x), substitute x = 61 into y = x = 2.
y = 61 + 2
y = 63
Therefore, using the equation for the line of best fit of the scatterplot, the predicted arm span is: 63 inches.
Learn more about line of best fit on:
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In his free time. Gary spends 8 hours per week on the internet. and 11 hours per week playing video games. If Gary has 5 hours of free time per day, approximately what percent of his free time is spend on the internet and playing video games
54%
18%
38%
4%
Answer:
54%
Step-by-step explanation:
freetime total in 1 week
7=5*7=35
(videogames+internet)/totaltimeperweek=(8+11)/35=19/35≈.542857143≈54%
the answer is 54%
Which shows the expanded form of the number 54.98?
O a. 5x10+4x1+9x1+8 x 10
B. 5 x 10+ 4x1 +9 x 10+ 8 x 100
C 5x 10+4x1+9x to +8 100
10
D. 5 x 1000 + 4 x 100 + 9 x 10 + 8
What is the inequality shown?
-4<x>/=5
○ means either< or > but since the line is moving to the right it means that x is greater than -4 (<x)● means greater than or equal to since the line stoped at 5 it means x can be equal to 5 or less then 5
HELP ME PLEASE!!!!!!!!!!!
Answer:
SAS theorem >This is the correct
Answer:
SSS theoremStep-by-step explanation:
[tex] \huge\colorbox{pink}{hope \: its \: help}[/tex]
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A. 2 x (7.5 + 15)
B. 3 x (5 + 10)
C. 5 x (3 + 6)
D. 15 x (1 + 2)
Answer:
13 24 56 23 56 78 166 Yan Lang po thank
Find the missing value using the given information
(4,p), (p,-3), m=5/3
Answer:
p = 11/8
Step-by-step explanation:
We are trying to find the slope, so use the slope formula
m = ( y2-y1)/(x2-x1)
5/3 = ( -3 -p)/ ( p-4)
Using cross products
5(p-4) = 3(-3-p)
5p-20 = -9-3p
Add 3p to each side
5p+3p -20 = -9-3p+3p
8p-20 = -9
Add 20 to each side
8p-20+20 =-9+20
8p =11
Divide by 8
8p/8 = 11/8
p = 11/8
$112,500 is the price of 75 towels, how much does 1 cost?
Answer:
1500
Step-by-step explanation:
112500/75=answer
answer=1500
Answer: 1 towel cost 1,500
Step-by-step explanation: When you divide $112,500 by 75 you get 1,500.
Today only, a sofa is being sold at a 32% discount. The sale price is $289.
What was the price yesterday?
Answer:
425$Step-by-step explanation:
Today only, a sofa is being sold at a 32% discount. The sale price is $289.
What was the price yesterday?
289 is 68% (100% - 32% = 68%)
289 : 68 * 100 =
425
--------------------------
check
425 - 32% = 289
the answer is good
What is the inequality shown?
o
I
1
1
-9
-8 -7 -6 -5
-4 -3 -2 -1
I
0
| 1
1 2
1 1
3 4
T 1
5 6 7
00
8
9
Answer:
-4 < n ≤5
Step-by-step explanation:
The lower limit is -4. It has an open circle, so there is no equal sign
-4 < n
The upper limit is 5. It is a closed circle so there is an equals sign
-4 < n ≤5
Anyone able to help with this?
[tex]W = 23.7°[/tex]
Step-by-step explanation:
The formula given is the statement of Snell's law of refraction. We are given the following:
[tex]I_a = 1.0003[/tex]
[tex]I_w = 1.3[/tex]
[tex]A = 31.5°[/tex]
So we need to find the angle of refraction W. Starting with Snell's law,
[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]
Plugging in the given values, we get
[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]
Solving for the angle W, we then get
[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]
Zack bought 2 1/2 pounds of green grapes and 1/5 of a pound of red grapes. How much
more did the green grapes weigh than the red grapes?
Answer:23/10 pounds heavier
Step-by-step explanation:
first we transform the mixed fraction to a normal fraction
2 1/2 = 5/2
Now transform
5/2 = 25/10
1/5 = 2/10
25/10 - 2/10 = 23/10
So the green grapes weigh 23/10 pounds more than the red grapes.
Perimeter of a trapezoid is 39a-7. Three sides have the following length 9a, 5a+1, and 17a-6 what is the length of the fourth side
Answer:
4th side is 8a-2
Step-by-step explanation:
P = 39a-7 - ((17a-6) + (9a) + (5a+1))
P = 39a-7 - (31a-5)
P = 8a-2
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Third one down
Step-by-step explanation:
Please help if you can!
Answer:
-3
Step-by-step explanation:
that’s where the line intercepts with the y axis
Answer:
-3,0 is y intercept good luck