Answer:
The inverse of a given function
d) [tex]g(x) = \frac{1}{4} x - 3[/tex]
Step-by-step explanation:
Explanation:-
Given that f(x) = 4x + 12
let y = 4 x + 12
4 x = y - 12
[tex]x = \frac{y-12}{4}[/tex]
[tex]x = \frac{1}{4} y - 3[/tex]
we know that y = f(x)
⇒ x = f⁻¹(y)
[tex](f^{-1} y) = \frac{1}{4} y - 3[/tex]
Put replace 'y' in 'x'
[tex](f^{-1} x) = \frac{1}{4} x - 3[/tex]
Final answer:-
The inverse of a given function
[tex]g(x) = \frac{1}{4} x - 3[/tex]
Answer:
D
Step-by-step explanation:
Right on edge
8 + 3 + 4) = 8 + (4+3)
what property is this
Help pls ill give u branliest 24 pts
Simon organized his 36 toys into equal-sized piles. Which list shows all of the possible numbers of toys in each pile?
Answer:
Give more information then I can help you
Step-by-step explanation:
Use the distributive property to solve this equation:
4x/5 - x = x/10 - 9/2
tabitha had 1/2 loaf a bread if she slices the bread into 9 equal pieces what fraction of the total of bread
Answer:
1/18
Step-by-step explanation:
1/2 divided by 9 = 1/2 * 1/9 = 1/18
Write a function using function notation to describe each situation. Find a reasonably domain and range for each function. A newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertize.
Answer:
The answer is below
Step-by-step explanation:
The domain of a function is the set of all independent variables for the function while the range of a function is the set of all possible dependent variables.
Let x represent the number of newspaper lines and f(x) be the charges for advertisement. x is the independent variable and f(x) is the dependent variable.
Since the newspaper charges $3 per line for the first 4 lines plus a $20 fee to advertise, the function is given as:
f(x) = 3x + 20 for 0 < x < 4
But for more than four lines, the charges is given as:
f(x) = 12 + 20 = 32 4 < x < ∞
Therefore, the domain and range of the function is:
Domain = (0, ∞)
Range = (20, 32}
Aliesha has a 55-inch rope. Mike has a rope that is
17 inches longer. What is the length of Mike's rope?
C is the circle with the equation x^2 + y^2=1
Answer:
a) The equation of the tangent to the circle
x + √3y = 2
b) [tex]a = \frac{-1}{\sqrt{3} } , b = \frac{2}{\sqrt{3} }[/tex]
Step-by-step explanation:
Step(i):-
Given the equation of the circle x² +y² =1
Tangent equation of the circle x² +y² =a² is xx₁ +yy₁ - a² =0
The tangent equation of the given circle
xx₁ +yy₁ - 1² =0
This equation passes through the point ([tex](\frac{1}{2} , \frac{\sqrt{3} }{2} )[/tex]
[tex]x(\frac{1}{2} ) +y(\frac{\sqrt{3} }{2} ) =1[/tex]
⇒ x + √3y = 2
The equation of the tangent to the circle
x + √3y = 2
Step(ii):-
Slope - intercept form y = ax +b
√3y = - x + 2
[tex]y = \frac{-x}{\sqrt{3} } + \frac{2}{\sqrt{3} }[/tex]
where
[tex]a = \frac{-1}{\sqrt{3} } and b = \frac{2}{\sqrt{3} }[/tex]
If FN = 29, what is the value of r?
4r-3
r+7
F
LL
H
N
A. 4
O
B. 5
O
C. 6
D. 7
O
Answer:
B
This is the confirm answer i did this in my exam today
The value of [r] will be 5 units.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is a line segment as shown in the image.
We can write the equation as -
(4r - 3) + (r + 7) = 29
4r + r - 3 + 7 = 29
5r + 4 = 29
5r = 25
r = 5
Therefore, the value of [r] will be 5 units.
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It cost $13.50 to but 3 used video games how much will it cost to buy 1
Answer:
4.50
Step-by-step explanation:
thats really easy bro just divide $13.50 by 3 and you get your answer
Answer:
1 =$4.50
Step-by-step explanation:
since all 3 cost $13.50 you divide 13.50 by 3 to find your total
I need this answer pls
QUESTION 12
Solve the equation -8x+4y=24 for y.
Answer:
2x+6
Step-by-step explanation:
4y=8x+24
y=2x+6
Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, returning it to the box, and then picking a blue marble?
1/12
1/30
1/36
1/11
Answer:
1/12
Step-by-step explanation:
you have 1/6 chance at drawing it once (one yellow marble, six total), so 1/12 to draw it twice.
The probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow.
We have to find the probability of picking a yellow marble, returning it to the box, and then picking a blue marble.
The probability of picking a yellow marble, returning it to the box, and then picking a blue marble is obtained as,
=1/6 × 1/6
=1/36
Thus the probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.
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seth runs every day he jogs 6 miles a day onday through friday every saturday he jogs 8 miles and every sunday 5 miles how many miles in all will seth run in three weeks.
Show your work
Answer:129
Step-by-step explanation:You have 6 miles a day Monday through Friday,add that up to get 30 and multiply by 3 to get 90. Saturday is 8 so multiply that by 3 to get 24. Sunday is 5 miles so do times 3 to get 15 and add them all up
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total miles covered in three weeks by Seth is 129 miles.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Seth jogs 6 miles a day from Monday to Friday. Therefore, the total of miles for which Seth runs on weekdays is,
Total miles in weekdays = 6 miles × 5 days
= 30 miles
Also, Seth jogs 8 miles on every Saturday and 5 miles in every Sunday. Therefore, the total miles covered on week off days is,
Total miles on Saturday and Sunday = 8 miles + 5 miles
= 13 miles
Now, the total miles covered in a week is,
Total miles in a week = 30 miles + 13 miles = 43 miles
Further, the total miles covered in 3 weeks is,
Total miles in three weeks = 3 × 43 miles = 129 miles
Hence, the total miles covered in three weeks by Seth is 129 miles.
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I need help please thank you so much
Answer:
1/225 x (5x+3y) square
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
The interest charged is $7.49.
After 29 days, Travis paid a total of $607.49
Step-by-step explanation:
Travis obtained a cash advance for $600.
The interest rate is 0.04305% per day.
The simple interest rate formula is given by:
[tex]I=Prt[/tex]
Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).
Our initial amount P is $600.
Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.
Since Travis repaid the loan after 29 days, our t is 29.
Hence, our interest is:
[tex]I=600(0.0004305)(29)=7.4907[/tex]
So, the interest charged is about $7.49.
So, after 29 days, Travis paid a total of the original $600 plus an interest of $7.49 for a total of $607.49
Answer:
The interest charged is $7.49.
After 29 days, Travis paid a total of $607.49
Step-by-step explanation:
Travis obtained a cash advance for $600.
The interest rate is 0.04305% per day.
The simple interest rate formula is given by:
→ I=Prt
Where I is the interest, P is the initial amount, r is the rate, and t is the time (in this case in days).
Our initial amount P is $600.
Our interest rate r is 0.04305% or (moving the decimal two places to the left) 0.0004305.
Since Travis repaid the loan after 29 days, our t is 29.
Hence, our interest is:
→ I=600(0.0004305)(29)=7.4907
So, the interest charged is about $7.49.So, the interest charged is about $7.49.So, after 29 days, Travis paid a total of the original 600 plus an interest of 7.49 for a total of $607.492(3)^n-1
what is the
fifth term
Answer:
The formula for an arithmetic series is shown below, where n = 1, 2, 3 ... f(n + 1) = f(n) + 8 If f(1) = 5, what are the fourth, fifth, and sixth terms
Step-by-step explanation:
Please I need this ASAP! A couple needs to get a loan of $5,000 and has to choose between three options. • Option A: 2 1/4% compounded quarterly (every 3 monins) o Option B: 3% compounded every 4 months o Option C: 4 1/2% compounded semi-annually If they make no payments for 5 years, which option will give them the least amount owed after 5 years? Use a mathematical model for each option to explain your choice.
Therefore, option A will result in the least amount owed after 5 years.
What is percent?Percent is a way of expressing a number as a fraction of 100. The symbol used for percent is "%". For example, 50% is equivalent to 50/100 or 0.5. Percentages are commonly used to express rates, ratios, and changes in quantity over time.
Here,
To determine which option will result in the least amount owed after 5 years, we need to calculate the total amount owed for each option at the end of the 5-year period. We can use the formula A=P(1+r/n)^(nt) to calculate the total amount owed, where A is the final amount owed, P is the principal (in this case $5,000), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.
Option A: 2 1/4% compounded quarterly (every 3 months)
The annual interest rate is 2.25%. Since interest is compounded quarterly, n=4. The time period is 5 years, so t=5. Plugging these values into the formula, we get:
A = [tex]5000(1+0.0225/4)^{(4*5)}[/tex]
= $5,827.05
Option B: 3% compounded every 4 months
The annual interest rate is also 3%, but interest is compounded every 4 months. To calculate the effective interest rate per year, we need to convert the compounding period to years. Since there are 3 compounding periods per year (4 months each), the effective annual interest rate is:
(1+0.03/3)³ - 1 = 0.0304 or 3.04%
Using the formula with these values, we get:
A = 5000(1+0.0304)⁵
= $6,079.28
Option C: 4 1/2% compounded semi-annually
The annual interest rate is 4.5%. Since interest is compounded semi-annually (twice per year), n=2. Plugging in the values, we get:
A = [tex]5000(1+0.045/2)x^{(2*5) }[/tex]
= $6,200.92
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ANSWER QUICKLY
In the following diagram, ABC ~ GHI, AC = 15, GI = 10, AZ = 9 and GY = x.
The Value of x is ___ units
Answer:
[tex]The \: Value \: of \: x \: is \: \boxed{ 6 \: units}[/tex]
What is the nth term rule of the linear sequence below
5, 8, 11, 14, 17, ...
Tn=
Answer:
The 12th term is 38
Step-by-step explanation:
Step one:
given the sequence 5, 8, 11, 14, 17, ...
We are required to find the nth term
the formula to find the nth term is given as
Tn = a1 + (n - 1 ) d
a1= the first term
n= the number of terms
d= the common difference
d = 8-5= 3 or 11-8= 3
Step two:
Now say we want to find the 12th term of the sequence n=12
substitute
T12= 5+(12-1)3
T12= 5+(11)3
T12= 5+33
T12= 38
The above formula is used to find the general (or nth) term of an arithmetic sequence.
Dan invests £11125 into his bank account. He receives 3.3% per year simple interest. How much will Dan have after 4 years?
Answer:
£11564.54
Step-by-step explanation:
find the value of x for which
З(2^x-3) = 384
Answer:
x=log2(131)
Step-by-step explanation:
3(2^x-3)=384
x=7.03342
i don't know this question but i have made it by photomath app.
you can get it from playstore
y = 23^x
Which table gives three values of x and their corresponding values of y for the given exponential equation.
Answer:
I need to see the equation
A grocery stores sells 3 different kinds of trail mix. Trail mix A is $6 for 3/4 pound. Trail mix B is $8.50 for 1 pound. Trail mix C is $2.25 for 4 ounces. If there are 16 ounces per pound, which of the following statements is correct? (The one that is cheapest per pound is the best deal.) (1 Point)
Answer:
Trail mix a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A = $8 per pound
B = $8.50 per pound
C = $9 per pound
Four students ran for Student Council President. The table lists the percent of votes each student received. Student Name Percent of Votes Alvaro 24% Bianca 30% Leticia 17% Gabriela 29% If 150 students voted, how many students voted for Bianca?
Answer:45
Step-by-step explanation:
150 x .30 = 45.00
If AC = 48, write and solve an equation for x
Answer:
x = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
AB and BC must add up to AC
mAB + mBC = mAC
(2x - 4) + (3x + 2) = 48
Step 2: Solve for x
Combine like terms: 5x - 2 = 48Add 2 on both sides: 5x = 50Divide 5 on both sides: x = 10Paula is making candles for her school's craft fair. She uses 12.8 ounces of beeswax for each candle. If she uses 358.4 ounces of beeswax in all, how many candles does Paula make?
Find the LCD of the given rational equation: -3/(x + 2) + (5x)/(x - 1) = (x + 2)/(x ^ 2 - 3x + 2)
Answer: (x+2)(x-1)(x-2)
Step-by-step explanation: I am sure that it is right.
Answer:
C. (x+2)(x-1)(x-2)
Step-by-step explanation:
A variety pack of juice boxes contains 25% fruit punch flavor. If 3 of the juice boxes are fruit punch flavored, how many total juice boxes are in the variety pack?
Answer:
12
Step-by-step explanation:
I will explain it's because if 25/100 percent is fruit punch and if 3 of them are fruit punch so it will be 12 juices that means 3 x4
Which of the following values are in the domain of the function graphed
below? Check all that apply.
A. -6
B. -1
C. 3
D. O
E. -2
F. 1
Find the perimeter of triangle ABC with vertices A(6, 3), B(6, - 2) , and C(- 4, 3) .
Answer:
26.2 units
Step-by-step explanation:
We are given the points/vertices
A(6, 3),
B(6, - 2) , and
C(- 4, 3)
Step two
Let us find the distances between the given points/vertices
A-B =A(6, 3) to B(6,-2)
d=√((x2-x1)²+(y2-y1)²)
Substitute
d=√((6-6)²+(-2-3)²)
d=√(-2-3)²)
d=√(-5)²)
d=5 units
B-C=B(6, - 2) to C(-4, 3)
d=√((x2-x1)²+(y2-y1)²)
Substitute
d=√((-4-6)²+(3+2)²)
d=√(-10)²+(5)²)
d=√100+25
d=√125
d=11.2 units
C-A=C(-4, 3) to A(6, 3)
d=√((x2-x1)²+(y2-y1)²)
Substitute
d=√((6+4)²+(3-3)²)
d=√(10)²
d=√100
d=10 units
Hence the perimeter is 5+11.2+10
P=26.2 units
