If f(3) = 2, find f^-1(2)
Help pls
Answer:
[tex]f^{-1}[/tex](2) is 3
Step-by-step explanation:
In the function f(x) = y, its inverse is f(y) = x
So to find the inverse of a function switch x and y
Example:
In f(1) = 2, x = 1 and y = 2
Its inverse is [tex]f^{-1}[/tex](y) = x
Then, [tex]f^{-1}[/tex](2) = 1
Let us use this rule to solve the question
∵ f(3) = 2
∴ x = 3 and y = 2
→ To find its inverse switch x and y
∵ [tex]f^{-1}[/tex](y) = x
∴ [tex]f^{-1}[/tex](2) = 3
Determine the type and number of solutions of 3x2 + 6x + 4 = 0.
3x2 + 6x + 4 = 0
This is a quadratic equation in one variable and has two solutions.
The leg of a right triangle is 2 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
2 units
6 units
Square root of 12 units
Square root of 20 units
Answer:
its 6 units
Step-by-step explanation:
Answer:
Square root of 20
I really hope i'm right sorry in advanced if i'm not
Chad bought 1 box of raisins. He gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. What fraction did he keep?
Write the answer in the simplest form
Answer:
He kept 7/12 of the box.
Step-by-step explanation:
We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.
1/6 = 2/12 | 1/4 = 3/12
then add.
2/12 + 3/12 = 5/12.
we subtract this from a whole, which is 12/12.
12/12 - 5/12 = 7/12
he keeps 7/12 of the box
hope this helped!
i need help, i don't get this problem
Divide. What is the remainder?
93 ÷ 4
there is no remainder
1
2
3
Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c
Answer:
2x^2-4x+1
Step-by-step explanation:
2(x-1)^2-1
2(x^2-2x+1)
2x^2-4x+2-1
2x^2-4x+1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]
[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
what is an equation in slope-intercept form of the line that passes through (6,10) and is parallel to the graph of y=1/3x-1 ?
Solve this equation for y.
3x - 5y = 12
Answer: y= 3/5x -12/5
Which choice represents the expression below as a single exponential
expression?
7^3•7^6
If you are adding them together, the answer would be 7^9
If you are solving the problem, the answer would be 40,353,607
The stem-and-leaf plot shows the ages of people at a family reunion.
Stem Leaf
0 1 3 3 5 6 8 9
1 1 2 3 5 9
2 0 1 2 9
3 0 0 1 2 5
4 4 5 8
5 0 1 6 7
6 1 3 5 5 7
7 0 2 5
Key: 3 | 5 = 35 years old
How many people at the family reunion are not adults (under the age of 18)?
There are
people at the family reunion who are not adults.
Question 2
How many people at the family reunion are over the age of 65?
There are
people over the age of 65.
Answer:
1) 11
2) 4
Step-by-step explanation:
1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.
2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.
While on vacation, Jorge and Jackie traveled to Bryce Canyon National Park in Utah. They were impressed by the different elevations at the viewpoints along the road. The graph describes the elevations for several viewpoints in terms of the time since they entered the park. The graph represents a function E(t). Part A:Describe why the graph represents a function. Part B:Identify the domain in range of the function.
Answer:
timeline
Step-by-step explanation:
the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a
The domain and range provides a definition for a graph
Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once
Part B. Domain: 0 ≤ t ≤ 30
Range: 7000 < f(t) ≤ 9,300
Reason:
Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function
Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs
Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point
Part B
Domain:
The domain of a function are the possible input values of the function
In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30
The domain of the function is 0 ≤ t ≤ 30
Range:
The range of a function are the possible output values of the function
The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;
The range of the function: 7000 < f(t) ≤ 9,300
Learn more here:
https://brainly.com/question/24508506
https://brainly.com/question/14489958
Frank bought 6 bags of dog food and 7 bags of cat food for $74.50. Daisy bought 3 bags of dog food and 9 bags of cat food for $ 67.50 . How much does it cost for each bag of dog and cat food ?
Draw 3 rows of 10 oranges.
Answer:
what?
how do i draw on here
Step-by-step explanation:
answer pls hurry need this asap
Answer:
y=-6x-8
Step-by-step explanation:
well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6
I need to find the slope.
Answer:
The slope is 3/2
The cashier counts $2500in $100 bills. She exchanged all the $100 bills for $10 bills. How many $10 bills does she receive?
Answer:
250
Step-by-step explanation:
Solve for x (2x-8) (9x-10)
Answer
x+3=17
Step-by-step explanation:
Answer: 18x2 -92x+ 80
Step-by-step explanation:
-24 = -8(5x-7) im confused
Answer:
x=2
Step-by-step explanation:
In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.
-24 = -40x + 56 now you can solve it start by subtracting 56 on both sides
-80 = -40x now divide -40 on both sides
2=x
I hope this helps :)
have a nice day
Which investment data is best modeled by an exponential function?
Answer:
Answer is C.
Step-by-step explanation:
Please like and mark brainliest, thanks :)
Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C
Exponential graphExponential functions are functions that increases geometrically. The standard exponential function is expressed as y = ab^x
The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C
Learn more on exponential graph here: https://brainly.com/question/2456547
#SPJ2
You randomly selected one card from a 52-card desk. Find the probability of selecting a black nine or black three
24 - 6(2x-4) = 8x - 32
Answer:
X = 4
Step-by-step explanation:
24 - 12x + 24 = 8x - 32
48 - 12x = 8x - 32
+12x. +12x
48 = 20x - 32
+32. +32
80 = 20x
divide both sides by 20
x = 4
3) In a study of 600 community college students, 200 of them indicated that they are part-time students. What percent of the students are part-time students?
Answer: 33.3333333...%
Step-by-step explanation: 200/600=1/3
1/3 =33.3333333...%
Thirty-two different video games showing drug use were observed. The duration times of drug use (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 82 sec, what does df denote, and what is its value? What does df denote?
A. The sample size
B. The test statistic
C. The sample standard deviation
D. The number of degrees of freedom
The value of df is _________ Type an integer or a decimal. Do not round )
Answer:
D. The number of degrees of freedom
The value of df is 31
Step-by-step explanation:
Degrees of freedom (DF) denotes the amount of information provided by the data you can "consume" to estimate unknown population parameters' values and calculate the variability of those estimates.
Increasing the sample size provides more information about the population, which increases the degrees of freedom present in the data.
Given that:
The sample size in the study (n) = 32
The degree of freedom df = n - 1
The degree of freedom df = 32 - 1
The degree of freedom df = 31
Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
m= 2
b= -2
-2x+2
Step-by-step explanation:
Hope that helps!
Which of the following expressions is equivalent to the one below? 7(x + 7)
A.
7 + (x + 7)
B.
7x + 49
C.
7x + 7
D.
x + 49
HELPPPPP ASAAPPPP PLEASEEEEEE
Answer:
Step-by-step explanation:
The standard form equation is y = mx + k where m is the slope and k is the y-intercept.
In this problem, it is first asking you for the slope of y = 2x + k. Therefore, the slope would be 2. In the next blank, it is asking for the slope of y = -1/2x + k. In that case, it would have a slope of -1/2.
When you multiply these slopes together, you'll notice that the you'll get -1. Whenever the slopes of 2 equations multiplied together is equal to -1, then those 2 equations are perpendicular to each other.
Finally, it is asking if the statement that says the lines are perpendicular is true. Like mentioned above, because the slopes multiply to -1, they are perpendicular equations making the statement always true.
Answers: 2, -1/2, -1, always.
What is the unit rate if the candy is $7.80 for 2 pounds?
Answer:
= 3.9 candy per pound
Step-by-step explanation:
This is a fraction equal to
7.8 candy ÷ 2 pounds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7.8 candy ÷ 2
________
2 pounds ÷ 2
=
3.9 candy
_______
1 pound
=
3.9 candy
_______
pound
= 3.9 candy per pound
4. REINFORCE A recipe for lemonade call for 3 lemons for every 2 cups of water.
Create a table of equivalent ratios. Find at least one ratio where one of the quan
a fraction or decimal.
Lemons
Cups of water
a.
b.
c.
d.
e.
Answer:
PLZ MARK BRAINLIEST!
The answer is below...Can you farther explain on the part "Find at least one ratio where one of the quan
a fraction or decimal."
Step-by-step explanation:
LEMONS . CUPS
3 : 2 . 3/2
6 : 4 . 6/4
9 : 6 9/6
12 : 8 . 12/8
15 : 10 . 15/10
-3/-11 + 5/9 find the sum