If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
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Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
use the given function F(x)= 0.08x+4.02 to evaluate the values below
a) f (12.6) =
b) f (-1.09) =
I am really stuck it would mean the world if you could help :)
Step-by-step explanation:
Substituting value of x in the equation we get the answers.
The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question as:
F(x) = 0.08x + 4.02
We have to evaluate the values F(12.6) and F(-1.09) for given function.
As per the question, we have
F(x) = 0.08x + 4.02 ....(i)
For evaluate the value F(12.6),
Substitute the value of x = 12.6 in the given function,
F(12.6) = 0.08(12.6) + 4.02
F(12.6) = 1.008 + 4.02
F(12.6) = 5.028
For evaluate the value F(-1.09),
Substitute the value of x = -1.09 in the given function,
F(-1.09) = 0.08(-1.09) + 4.02
F(-1.09) = -0.0872 + 4.02
F(-1.09) = 3.9328
Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
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Determine whether (-9,-5) is a solution of 9x + 4y = 10.
...
Answer:
It is not a solution
Step-by-step explanation:
put in (-9,-5) in for x and y
9(-9)+4(-5)=10
-81-20=10
-101=10
This is false so (-9,-5) is not a solution to the equation 9x+4y=10
Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)
Please help thank you so much Math experts
Answer:
A.) 49.3
Step-by-step explanation:
To find the mean of a given set of data points, you need to add up all of the numbers given in the data set. So let's add these altogether:
43 + 55 + 51 + 62 + 64 + 38 + 35 + 45 + 51 = 444.
With that said, now we have to divide the number of how many numbers given into our so-far-answer of 444. There are 9 numbers in this data set, so we need to divide 9 into 444.
444 ÷ 9 = 49.33333...
The question asks us to round to the nearest tenth, which would be the first 3 in this situation. Normally, we would need a longer process for rounding, but since these are all 3's, we can do this faster. We can get rid of the other 3's and be left with the first letter of A.)'s answer.
I hope that this helps.
A khanacademy.org Differential equations: exponential model word problems You might need: Calculator A controversial story comes out in the school newspaper. The number of students who have not heard about the story decreases at a rate that is proportional at any time to the number of students who have not heard the story at that time. There were 900 students who had not heard the story initially, and the number of students is divided by 3 every 4 days. How many students have not heard the story after 7 days? Round to the nearest student. students Stuck?
Answer:
132 students
Step-by-step explanation:
Let S(t) model the number of students who have not heard the story after t days.
We are told that the rate of change of S is proportional to S:
\(\frac{dS}{dt} = kS\)
This sort of differential equation describes an exponential model, and its solution is
\(S(t) = C\) * \(e^{kt}\)
Let's find the values for C and k.
We are told that there were 900 students who had not heard the story initially. From this we can tell that C=900
We are also told that the number of students is divided by 3 every4 days. From this we can tell that \(k= \frac{ln(0.3)}{4}\)
We found that \(S(t) = 900e^{\frac{ln(0.3)}{4}t }\), The number of students who have not heard the story after 7 days is S(7):
\(S(7) = 900e^{\frac{ln(0.3)}{4}(7) }\) ≈ 132
How many of you go to Wilders Prepatory Academy Charter School
Answer: NOT ME HAHA
Evaluate the expression: –32 – (–52) – (15 – 33).
The result correct of this expression is 38
-
In a numeric expression, we first resolve the numbers that are in symbol, such as:
parentheses, square brackets and braces.The signs calculated in order are:
multiplication/division, addition/subtraction.\( \\ \)
The sign rules are- ( - ) = +
+ ( + ) = +
- ( + ) = -
+ ( - ) = -
\( \\ \)
Resolution\( \large \sf = - 32 - ( - 52) - (15 - 33)\)
\( \large \sf = - 32 + 52 - (15 - 33)\)
\( \large \sf = - 32 + 52 - ( - 18)\)
\( \large \sf = - 32 + 52 + 18\)
\( \large \sf = - 32 + 70\)
\( \pink{ \boxed{ \large \sf = 38}}\)
So, the answer correct is 38
Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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In a survey, people were asked whether they like baseball or whether they like hockey. Here are the results: Likes hockey Doesn’t like hockey Likes baseball 12 18 Doesn’t like baseball 14 6 What value is missing to convert the two-way table to a two-way relative frequency table? Likes hockey Doesn’t like hockey Likes baseball 0.24 0.36 Doesn’t like baseball 0.28
The missing value 'x' in the two-way relative frequency table is 0.36.
To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.
Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.
First, let's calculate the relative frequencies for each category:
Likes hockey: The total count in this row is 12 + 18 = 30.
Relative frequency of "Likes hockey" = 12/30 = 0.4
Relative frequency of "Doesn't like hockey" = 18/30 = 0.6
Likes baseball: The total count in this column is 12 + 14 = 26.
Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615
Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385
To ensure that the relative frequencies add up to 1, we can set up the following equations:
0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)
0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)
Simplifying the equations, we have:
x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36
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20 POINTS PLEASE HELP
At a supermarket, there are 118 customers. If 45 have purchased shirts, 59 have
purchased pants, and 40 have purchased neither, how many purchased both shirts and
pants?
Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.
What is a Venn Diagram?A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.
In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.
The total number of customers at a supermarket = 118
The number of customers who purchased shirts, n(A) = 45
The number of customers who purchased pants, n(B) = 59
The number of customers who purchased neither shirts nor pants = 40
Let the number of customers who purchased both shirts and pants = n(A ∩ B)
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78
Substituting values:
78 = 45 + 59 - n(A ∩ B)
Solving for n(A ∩ B), we get:
n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26
Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.
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Hi I’ve been struggling with these problems for sometime now and I’ve been unable to get help
We need to identify which property justifies the following statement:
\(5(x-3)=5x-15\)This statement represents the distributive property of multiplication. The term outside the parenthesis multiplies both terms inside the parenthesis. The correct answer is D.
Determine the values of x in the equation x2 = 64.
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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According to projections through the year 2030, the population y of the given state in year x is approximated byState A: - 5x + y = 11,700State B: - 144x + y = 9,000where x = 0 corresponds to the year 2000 and y is in thousands. In what year do the two states have the same population?The two states will have the same population in the year
The x variable represents the year in question. The year 2000 is represented by x = 0, 2001 would be repreented by x = 1, and so on.
The year in which both states would have the same population can be determined by the value of x which satisfies both equations.
We would now solve these system of equations as follows;
\(\begin{gathered} -5x+y=11700---(1) \\ -144x+y=9000---(2) \\ \text{Subtract equation (2) from equation (1);} \\ -5x-\lbrack-144x\rbrack=11700-9000 \\ -5x+144x=2700 \\ 139x=2700 \\ \text{Divide both sides by 139} \\ x=19.4244 \\ x\approx19\text{ (rounded to the nearest whole number)} \end{gathered}\)Note that x = 19 represents the year 2019
ANSWER:
The two states will have the same population in the year 2019
please help me im in deep need
Answer:
Its C
Step-by-step explanation:
because N and O would have been numerators but they are denominators
Que números multiplicados dan 30 y sumados dan 11
Answer:
5, 6
Step-by-step explanation:
Answer:
Los números son:
6 y 5
Step-by-step explanation:
Planteamiento:
a * b = 30
a + b = 11
Desarrollo:
De la segunda ecuación del planteamiento:
a = 11-b
Sustituyendo esta última ecuación en la primer ecuación del planteamiento:
(11-b)*b = 30
11*b + b*-b = 30
11b - b² - 30 = 0
-b² + 11b - 30 = 0
b = {-11±√((11²)-(4*-1*-30))} / (2*-1)
b = {-11±√(121-120)} /-2
b = {-11±√1} / -2
b = {-11±1} / -2
b₁ = {-11-1} / -2 = -12/-2 = 6
b₂ = {-11+1} / -2 = -10/-2 = 5
Comprobación:
6*5 = 30
6+5 = 11
Please help thank you
Answer:
1/144
Step-by-step explanation:
You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive
Help me with this question no explanation needed or just give it to me
Answer:
Step-by-step explanation:
No explanation is needed because there is no question.
Answer:
you got it
Step-by-step explanation:
no explanation needed
The coordinates of the vertices of a polygon are shown on the graph below.
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
It has three side unlike the others can't have three sides
In a sample of 800 adults, 214 think that most celebrities are good role models. Two us adults are selected from this sample without replacement. find the probability that both adults think most celebrities are good role models
Answer:
11449/160000
Step-by-step explanation:
The probability of selecting a single adult that thinks most celebrities are good role models is 214/800 = 107/400
The probability that both do is
(107/400)^2 =. 11449/160000
What is the truth value for the following conditional statement?
p: true
q: true
p → q
T T → F
T T → T
F T → T
T F → T
Based on the conditional statement given, the truth value can be found to be T T → T.
How do we find the truth value?
The truth value can be found by using the Boolean Table which is shown as:
p q p → q
T T T
T F F
F T T
F F T
From the table, we can then see that if both p and q are true, then p → q is true as well.
We will then have a truth value of T T → T.
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rewrite Log base 4 of 4 = 1
Answer:
\( log_{4}(4) = 1\)
Amanda jogged 7.75 laps around a track. Each lap is 1/4 mile. How many laps did Amanda jog ?
Answer:
31 laps
Step-by-step explanation:
Take the total distance and divide by the distance each lap is
7.75 ÷ .25
31
Amanda jogged 31 laps
Complete the table representing a linear function
Answer:
10 ; 10
Step-by-step explanation:
( 1 , 0 )
( 5 , 40 )
m = \(\frac{40-0}{5-1}\) = 10
y = 10x - 10
( 2 , 10 )
( 10 , 90 )
Finding the derivative of a function at a point x gives
A.) The slope of the secant line of the function at x
B.) A line parallel to the function
C.) The slope of the tangent line of the function at x
D.)None of the above
Answer:
C.)
Step-by-step explanation:
that is exactly the definition of the derivative.
the derivative is the limit of
(f(x+h) - f(x))/((x+h) - x) = (f(x+h) - f(x))/h
with h going to 0.
this is the limit of the standard rate of change concentrated on a single point = the slope of the tangent at that point.
Tanvir applies the distributive property to the left-hand side of the equation 1/3(3q+15)=101 Which equation shows the correct application of the distributive property?
1: q+15=101
2:3q+5=101
3:3q+15=101
4:q+5=101
When Tanvir applies the distributive property to the left-hand side of the equation, 1/3(3q+15)=101, the equation that shows the correct application is equation 4: q+5=101.
What is distributive property?The distributive property applies basic mathematical operations, especially in equations.
This property is that when a value is multiplied or divided by a number to a set that will be added or subtracted, the result is the same, notwithstanding if the operation is done before the addition or subtraction.
1/3(3q+15) = 101
(3q/3+15/3) = 101
= q + 5 = 101
q = 96
Check of Distributive Property:
1/3(3q+15) = 101
1/3(3 x 96+15) = 101
= 1 x 96 + 5 = 101
= 96 + 5 = 101
= 101 = 101
Or: 1/3(3q+15) = 101
1/3(3 x 96+15) = 101
= 1/3(288 + 15) = 101
= 1/3(303) = 101
= 101 = 101
Thus, the equation that correctly applies the distributive property is equation 4: q+5=101.
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An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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3 to 6 = 7 to help plz.
the answer is 10
3 to 6 and 7 to 10
it adds three both times