Answer:
[tex]f^{-1}(x) = \frac{x+8}{8}[/tex]
Domain of f(x): All real values.
Range of f(x): All real values.
Domain of f -1(x): All real values.
Range of f -1(x): All real values
Step-by-step explanation:
We are given the following function:
[tex]f(x) = 8x + 8[/tex]
Since it is a line, we have that both the domain is the range is the real set.
Inverse function:
The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.
Finding the inverse function:
Exchange x and y in the original function, and isolate y. So
Original
[tex]y = 8x + 8[/tex]
Exchanging:
[tex]x = 8y - 8[/tex]
Isolating y:
[tex]8y = x + 8[/tex]
[tex]y = \frac{x+8}{8}[/tex]
[tex]f^{-1}(x) = \frac{x+8}{8}[/tex]
hiii , does anyone know with work? thank you
Answer:
3√41
Step-by-step explanation:
The diagonal can be gotten using the pythagoras theorem
d² = l²+w²
d² = 12²+15²
d² = 144 + 225
d² = 369
d = √9*41
d = 3√41
Hence the diagonal is 3√41
Estimate a 15% tip on a dinner bill of $83.53 by first rounding the bill amount to the nearest ten dollars.
Answer:
the tip amount is $12
Step-by-step explanation:
The computation of the tip amount is shown below:
But before that rounded the dinner bill to the nearest ten dollars i.e. $80
Now the tip amount is
= Dinner bill × tip percentage
= $80 × 15%
= $12
Hence, the tip amount is $12
The question is: find the value of that makes || . State the converse that justifies your answer.
Answer:
ответ вводит в заблуждение
Question 15
Tessa made 14 out of 22 free throw attempts in the first half of practice and 22 out of 28 attempts in the second half of practice. What is her free throw average for the whole practice, written as a decimal? PLEASE HELP, I NEED IT QUICK!! 30 POINTS FOR IT
Answer:
0.71
Step-by-step explanation:
1st attempt = [tex]\frac{14}{22} = 63%[/tex]%
2nd attempt = [tex]\frac{22}{28} = 79%[/tex]%
To get the average of something, find the sum of the numbers and then divided the sum by the total number of values there are.
⇒ 63 + 79 = 142
⇒ 142 / 2 = 71%
⇒ 71% = .71
Frank is building 2 raised gardens. He needs 3 cubic yards of soil to fill the first garden and 2 1/2 times that amount to fill the second one. How much soil does Frank need to fill the second garden?
Answer:
7.5 cubic yards
Step-by-step explanation:
3* 5/2= 15/2= 7.5 cubic yards
if my answer helps please mark as brainliest.
need help answering this question
A distribution is given as X ~ U(0, 12). Find P(x > 6). (Enter an exact number as an integer, fraction, or decimal.)
Answer:
Step-by-step explanation:
The value of P(x>6) is 1/5.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that A distribution is given as X ~ U(0, 12).
We need to find the value of P(x > 6)
The probability density function of the uniform distribution is defined as:
f(x)=1/b-a, a<x<b
a=0 and b=12
f(x)=1/12 , 0<x<12
The required probability is P(x>6)
Now P(x>6)= [tex]\int\limits^2_6 {f(x)} \, dx[/tex]
P(x>6)=(12/12-6/12)
=1-1/2
=1/2=0.5
Hence, the value of P(x>6) is 1/5.
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If a guy named josh got 45 bucks for his b-day and already had 237 bucks. How much money does josh have all together.
Will give brainly!!!!!!
Answer:
That’s easy it is 282
Step-by-step explanation:
He will now have 282 bucks altogether.
Step-by-step explanation:
We already know that he has 237 bucks before his birthday, but now he has an additional 45 bucks that he got from his birthday. With this, you can create an equation that looks like this: 237+45. You then solve the equation by adding 45 to 237, which gets you 282 bucks altogether.
HELP ME PLEASE I NEED TO KNOW HOW TO SEE WHICH GRAPH HAS A GREATER B VALUE!!! Can someone also please explain how I can tell which ones has a greater b value
Answer:
hi
Step-by-step explanation:
a has the greater value
Answer:
They have the same B value, B value is the Y-intercept, where the graph starts, both B-values are equal to 1. I'm pretty sure that's correct
Write equivalent fractions for 3/7 and 1/3 using 21 as a common denominator
Answer:
Step-by-step explanation:
[tex]\frac{3}{7}=\frac{3*3}{7*3}=\frac{9}{21}\\\\\frac{1}{3}=\frac{1*7}{3*7}=\frac{7}{21}[/tex]
Find a difference equivalent to the product shown.
5(x-y)
answers (one is right.)
5x-5y
5x-y
x-5y
-5x-5y
Answer:
5x-5y
Step-by-step explanation:
You are using the distributive property
You can also think of it as multiplying 5 by x and 5 by y and then subtracting it just as it is subtracting in the original equation
Answer:
5x-y.
Step-by-step explanation:
so its 5 times x, minus 7. easy. 5x,-y. rephrase it. hhen a variable is next to a number, it means multiply.
Write the equation of a line parallel to the line 2x=3y
the image is your graph
Select the correct answer. What is the value of x in 2 (5x) = 14
Answer:
x= 7/5
Step-by-step explanation:
Use Cymath.com for math because it shows its work, and so you don't have to waste points! ^^
Answer:
x = 1.4
Step-by-step explanation:
2 (5x) = 14
10x = 14
x = 14 ÷ 10
x = 1.4
Checking...
10 (1.4) = 14
14 = 14
For the pair of similar solids, find the value of the variable.
A. 3 cm
B. 18 cm
C. 16 cm
D. 2 cm
Answer:
2cm..................
Mira's six test scores are given. What is the
positive difference between the mean of the
scores and the median of the scores?
86, 72, 92, 62, 99, 93
Answer:
Step-by-step explanation:
Which of the following statements is false?
a- log9(0)=0 because 9^0=0
b- log3(9)=2 because 3^2=9
c-log5(5)=1 because 5^1=5
d- log4(0) does not exist because 4^=0 for any x
Answer:
A
Step-by-step explanation:
Same reason as d
That's the answer.
Factor 3x^2 - 2x - 1
Answer:
(3x+1) (x-1)
Step-by-step explanation:
.................
The factored form of 3x² - 2x - 1 is (3x + 1)(x - 1).
To factor the quadratic expression 3x² - 2x - 1, we can look for two binomials that multiply together to give the original expression.
We need to find two binomials in the form (ax + b)(cx + d) that, when multiplied, result in 3x² - 2x - 1.
To factor this expression, we need to find two numbers that multiply to give 3 (the coefficient of x² term) and add up to -2 (the coefficient of the x term).
By trial and error or using factoring techniques, we find that the factors are (3x + 1) and (x - 1).
Therefore, the factored form of 3x² - 2x - 1 is:
(3x + 1)(x - 1).
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Which image below shows the result of an image that has been rotated 180° by the origin O?
Answer:
) A (3, 5)
(ii) B (-2, 7)
(iii) C (-5, -8)
(iv) D (9, -4)
Solution:
When rotated through 180° anticlockwise or clockwise about the origin, the new position of the above points is.
(i) The new position of the point A (3, 5) will be A' (-3, -5)
Answer:
i don't see what are you talking about . honestly
Hillary’s dance workout consists of 15 minutes of warm-up, 20 minutes of ballet workout and 25 minutes of group dance. What is the ratio of the number of minutes she does the warm-up to the total number of minutes of her entire workout?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
15+20+25=60
15/60=[tex]\frac{1}{4}[/tex]
The ratio of toy cars to toy airplanes in Drew's collection is 5:2. Which statements are true? Select all that apply.
Answer:
e for sure i dont know if any of the other is true
pls help quickly maath
Answer:
It should be A
Step-by-step explanation:
Since it is asking for the squares to circles, it is not option c. B is also incorrect because the ratio is not correct, which leaves the only answer to be A.
WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!
Answer: it is 1.25
hope i helped
Answer:
1.25
Step-by-step explanation:
yeah
If a 60-page magazine cost $1.20 to print, find the cost per page to print?
Answer:
2 cents per page
Step-by-step explanation:
1.2/60 = 0.02 dollars
==> 2 cents
What are all of the factors for 12 and 30? If you answer thank you for helping, I really appreciate it.
Answer:
12
2,3,4,6
30
12,3,5,6,10,15
a toy company is going to issue new ID codes to its employees.Each codes will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used. Assume that the digits can be repeated.. How many employee ID codes can be generated
Answer:
851,968
Step-by-step explanation:
26*8*8*8*8*8= 851,968
From the combination of codes, 851,968 employee ID codes can be generated.
Given,
Employee ID codes can be generated.
Each code will have one letter followed by five digits. The digits 2 and 6 will not be used. So, there are 26 letters and 8 digits that will be used.
The number of employee codes to be determined.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Required number of codes = 26 * 8 * 8 * 8 * 8 * 8
= 851,968
Thus, from the combination of codes, 851,968 employee ID codes can be generated.
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Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
left 4, down 9
left 4, up 23
right 4, down 9
right 4, up 23
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?
left 4, down 9
left 4, up 23
right 4, down 9<<<<<<< CORRECT
right 4, up 23
The translation should be right 4 units and down 9 units.
Which translation should we use?
First, we need to find the vertices of both functions.
for f(x) = x^2 the vertex is at (0, 0), as we already know.
For g(x) = -8x + x^2 + 7 the x-value of the vertex is at:
x = -(-8)/(2*1) = 4
Evaluating g(x) at x = 4 we get:
g(4) = -8*4 + 4*4 + 7 = -9
So the vertex is at (4, -9).
To go from (0, 0) to (4, -9) we need to move right 4 units and down 9 units, so the correct option is the third one.
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I NEED HELP ON THIS ASAP!! GIVING 75 POINTS TO WHOEVER CAN HELP ME WITH THIS!!!
Answer:
288pi
904.3
1648.5
33493.3
Step-by-step explanation:
1.
volume = 6^2 * 8 * pi = 288pi
= 904.32
2.
5^2*21*3.14 = 1648.5
3.
4/3 * 20^3 * 3.14 = 33493.3
There are 81 people protesting the destruction of the rain forests. There are 36 males, 23 of whom are students, and 18 female nonstudents. How many female students are protesting?
Answer:
27
Step-by-step explanation:
Given that the total number of people protesting is 81. These people are either male - Student or non student or Females (student or non students)
Given that there are 36 males then number of females
= 81 - 36
= 45
If there are 18 females non students then the number of females protesting that are students
= 45 - 18
= 27
If the probability of an event happening is 82/97, what are the odds against it happening?
Answer:
15/97?
Step-by-step explanation:
Just Minus the 82 and 97 to be the probability against it happening.
Sorry if I'm wrong
3/4 + 3/5 how do you solve it
Answer:
3/4 + 3/5 = 1 7/20
Step-by-step explanation:
5 x 4 = 20
3/4 = 15/20
3/5 = 12/20
15/20 + 12/20 = 27/20 = 1 7/20
Answer: 1 7/20 (one and seven-twentieths)
Step-by-step explanation:
1) 3/4 = 15/20 and 3/5 = 12/20
2) 15/20 + 12/20 = 27/20
3) 27/20 = 1 7/20
Good Luck!