What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
The inverse of the function f(x) is h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
To find the inverse of a function do these steps
Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)Let us do these steps to solve the equation
∵ f(x) = [tex]\frac{1}{4}[/tex]x - 12
→ Replace f(x) by y
∴ y = [tex]\frac{1}{4}[/tex]x - 12
→ Switch x and y
∴ x = [tex]\frac{1}{4}[/tex]y - 12
→ Add 12 to both sides
∵ x + 12 = [tex]\frac{1}{4}[/tex]y - 12 + 12
∴ x + 12 = [tex]\frac{1}{4}[/tex]y
→ Multiply each term by 4
∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)
∴ 4x + 48 = y
→ Switch the two sides
∴ y = 4x + 48
→ Replace y by h(x)
∴ h(x) = 4x + 48
∴ The inverse of the function f(x) is h(x) = 4x + 48
Answer:
h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
i just did it
I WILL GIVE BRAINLIEST IF CORRECT!!!!!!!!
Mrs. Kunannan checked her class rosters at the beginning of the year. The ratio of girls to boys in her class is 3 to 7. If she has 50 total students in her class, how many students are boys?
Answer:
35
Step-by-step explanation:
Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =
Answer:
I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.
The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.
To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.
Given the step function:
g(x) =
-4, x < -1
-1, -1 ≤ x < 2
3, 2 ≤ x < 4
5, x ≥ 4
Let's evaluate the step function for each input:
g(-2):
Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.
g(2):
Since 2 is less than or equal to 4, the condition for the second interval is satisfied. Therefore, g(2) = 3.
g(5):
Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.
Hence, we have:
g(-2) = -4
g(2) = 3
g(5) = 5
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The cost of a car rental is $30per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
Step-by-step explanation:
Cost ≤ per day amount + daily mileage amount. * miles
75 ≥ 30 + daily mileage amount * miles
That's as far as I can take you. Two other equations are impossible without the daily mileage amount.
I can make one up. Suppose it is 75 cents a mile
75 ≥ 30 + 0.75 * x Subtract 30 from both sides
75 - 30 ≥ 0.75*x
40 ≥ 0.75*x Divide by 0.75
40/0.75 ≥ x
53.33 miles = x
Anything more and you are going over budget. Anything less is fine.
This is enough to get you started without knowing what the rate per mile is.
Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8
Answer:
n-8
Step-by-step explanation:
difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.
Lamar is considering two loans.
Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3
Which loan will have the lowest total payback?
Loan A will have the lowest total payback because the amount of interest paid is less than the amount of interest paid for loan B.
Loan A will have the lowest total payback because the total of the principal and the interest paid for loan A is less than the same total for loan B.
Loan B will have the lowest total payback because the interest is less than the interest for loan A.
Loan B will have the lowest total payback because the total of the principal and the interest paid for loan B is less than the same total for loan A.
Answer:
4
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
40 POINTS- Are a logistic equation and a logistic regression model the same thing? If not, what's the difference?
I have a logistic equation and need to make a logistic regression model from it but I'm not sure how to. Any help is appreciated :)
Answer: They are diffrent
Step-by-step explanation: The logistic equation was first published by Pierre Verhulst in 1845. This differential equation can be coupled with the initial condition P(0) = P0 to form an initial-value problem for P(t). Suppose that the initial population is small relative to the carrying capacity. Then P K is small, possibly close to zero.
The logistic regression coefficients are the coefficients b 0, b 1, b 2,... b k of the regression equation: An independent variable with a regression coefficient not significantly different from 0 (P>0.05) can be removed from the regression model (press function key F7 to repeat the logistic regression procedure).
By the way, this is copied from the internet.
Solve the equation by completing the square.
6x^2-12x-16=2
When are two lines parallel?
A. when the slopes are positive
B. when the slopes are equal
C. when the slopes are opposite
D. when the product of the slopes is –1
Answer:
B
Step-by-step explanation:
help pleaseeeeeeeseee
Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2
Step-by-step explanation:
find the slope of the line that passes through (8,6) and (4,1).
Answer:
[tex] \frac{5}{4} [/tex]
Step-by-step explanation:
Slope [tex] = \frac{y2 - y1}{x2 - x1} [/tex]where y2=1 , y1=6 , x2=4 , x1=8.What value does the digit 3 represent after 2,734 is multiplied by 1,000?
Answer:30,000
Step-by-step explanation:
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Help me boys and girls
I'm sure you already have the answers by now, and thanks for the points! I need it...
thanks for the points i hope you don't mind i will venmo
Mark buys a wooden board that is feet long. The cost of the board is $1.50 per 5 1/4 foot, including tax. What is the total cost, in dollars, of Mark’s board
HELPPPPPP URGENT HELP NEEDED!!!!! 1ST RESPONSE WITHJ EXPLANATION GETS BRAINLIEST!!!
Write the equation of a line going through (-3,1) and (-2,4) in point slope form using the slope you got ( I got -3 for slope) and the first point given.
Answer:
y = -3x + 10
Step-by-step explanation:
y = mx + b
plug in numbers to the equation
1 = (-3)(-3) + b
multiply the slope -3 and -3
1 = (9) + b
subtract 9 from both sides
-8 = b
Now plug in the slope and b
y = -3x - 8
Answer:
The equation I got was y= 3x + 10
Step-by-step explanation:
All you need to do is use the formula y= mx + b.
The average person laughs 15 times per day.
Help pls guys!!!asap
Answer:
The answer is D
Step-by-step explanation:
This problem may look complex but it isn't; the variables in the "x" column represent what would be substituted for x, and y would be what the equation would equal AFTER substituting the x variable into the equation
So for example, using d's table, I would substitute -4 for x: y = -3(-4) + 2, the answer would be 14, which is in the y column. I will do the same thing using the next variable in the x column, y = -3(-2) + 2, that would equal 8, which is also in the y column, this would not serve true in any other tables.
Solve (2x – 1)2 = 9.
Question 19 options:
A)
x = –2, 1
B)
x = 2, 1
C)
x = 2, –1
D)
x = –2, –1
6th grade math i mark as brainliest
Find the slope of the line through each pair of points (5, 18), (15, -17)
Answer:
-3.5
Step-by-step explanation:
Slope of the line
[tex] = \frac{ - 17 - 18}{15 - 5} = \frac{ - 35}{10} = - 3.5 \\ [/tex]
6 of 12
Write in index form
(-4) × (-4) × (-4) x (-4) × (-4) x (-4)
Given:
The expression is
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
To find:
The index form of given expression.
Solution:
Index form is the exponent form, it means, the number is represented in power of a number.
We have,
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)[/tex]
Here, we have 6 times -4. So, we get -4 as base and 6 as index or exponent.
[tex](-4)\times (-4)\times (-4)\times (-4)\times (-4)\times (-4)=(-4)^6[/tex]
Therefore, the index form of given expression is [tex](-4)^6[/tex].
El administrador de una cafetería sabe que vende diariamente 50 litros de jugo mixto. Para elaborar este jugo se emplean dos preparados: uno de jugo de naranja, que contiene un 5% de jugo natural y otro preparado de jugo de toronja, que contiene 25% de jugo natural. Si se desea que el jugo mixto contenga un 10% de jugo natural ¿Cuántos litros de cada preparado se deben emplear?
Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
50 L * 10/100 = 5 LAhora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos un sistema de dos ecuaciones y dos incognitas.
Expresamos x en términos de y:
x + y = 50x = 50 - yReemplazamos x en la segunda ecuación:
(50-y)*5/100 + y*25/100 = 5Y despejamos y:
2.5 - 0.05y + 0.25y = 50.20y = 2.5y = 12.5Usando ese valor de y, calculamos x:
x + 12.5 = 50x = 37.5Tell whether the angles are adjacent or vertical. Then find the value of x. x =?
Answer:
The triangle of the 360 squared by the square
Which of the following is equivalent to (8-5) ÷ 2 to the third power?
A. 3/8
B. 19/8
C. 27/8
D. 1/125
The required value is 27/8, which is determined when we compute the expression (8-5) ÷ 2 raised to the third power. Thus, the option (C) is correct.
To find the equivalent expression to (8-5) ÷ 2 raised to the third power, we first simplify the expression inside the parentheses:
(8-5) ÷ 2 = 3 ÷ 2.
Next, we raise this simplified expression to the third power:
(3 ÷ 2)³
To evaluate this, we cube both the numerator and denominator:
(3^3) ÷ (2³) = 27 ÷ 8.
Therefore, the expression (8-5) ÷ 2 to the third power is equivalent to 27/8.
Hence, the correct answer is option C: 27/8.
This means that 27/8 is the value we get when we compute the expression (8-5) ÷ 2 raised to the third power.
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on his shelves trenton has 15 biogrophies,15 science fiction books,7 refrence books,and 11 mystery books. find the ratio of biographies to the total number of books
A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
A.
61
B.
65
C.
63
D.
68
Answer:
C.) 63
Step-by-step explanation:
You know what you insisted on me answering, so I'll answer here.
35 ÷ 5 = 7
7 x 9 = 63
35/5 = 7
7 * 9 = 63
Therefore, there are 63 (C) old houses in the city.
Please hurryy
Find the slope of a line that goes through these two points: (4, -7) and (3,
-8)
Answer:
1
Step-by-step explanation:
x - 35 > 15 I cant figure this out pls help me 5 pts
Answer:
x can be anything higher than 45. For example, x can be 50. That would be 20 (or x) is greater than (>) 15.
Step-by-step explanation:
Hope this helps. If you found it useful, brainliest would be great.
the table above shows the number of miles four different cars traveled and the amount of gasoline each car consumed. which car has the best mileage?
PLEASE HELP
Answer:
A. Pontiac
Step-by-step explanation:
Camry's mileage = Miles travelled / gallons of fuel used
= 196 / 11
= 17.82
Pontiacs mileage = Miles travelled / gallons of fuel used
= 220 / 13
= 16.92
Bluck's mileage = Miles travelled / gallons of fuel used
= 356 / 15
= 22.25
Toyotas mileage = Miles travelled / gallons of fuel used
= 583 / 21
= 27.76
The car with the best mileage is Pontiac