The total cost for attending the rodeo carnival can be found using the function f(x) = 2.25x + 18, where x is the number of food tickets purchased. If a family
purchases between 4 and 8 food tickets, what is the domain and range of this situation?
Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation:
Two times 3X times Y times 4Z times X times Y times Z
Answer:
24*(X^2)*(Z^2)*(Y)
Step-by-step explanation:
2*(3X)*(4Z)*(X)*(Y)*(Z)
2*(3X^2)*(4Z)*(Y)*(Z) [Combine like terms (X)]
2*(3X^2)*(4Z^2)*(Y) [Combine like terms (Z)]
24*(X^2)*(Z^2)*(Y) [Combine like terms (2*3*4)]
Mr. and Mrs. Ozawa are driving their family to a vacation spot 496 miles away. They want to get there in 8 hours. What is the average speed they need to drive?
The average speed Mr and Mrs Ozawa should drive is 62 miles per hour.
What is the difference between average and instantaneous speed?The average speed is calculated for a period of time while instantaneous speed is calculated at certain instant of time.
For instantaneous speed and average speed are equal for an object moving with constant speed.
The total distance travelled is given as 496 miles.
And, the total time taken is 8 hours.
Average speed can be calculated by taking the ratio of total distance and time as follows,
Total distance ÷ Total time
⇒ 496 ÷ 8
⇒ 62
Hence, the average speed is given as 496 miles per hour.
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Solve for b.
2/3+5=20-b
Need help Now please
on High School geometry a is altitude, if it doesn’t show on the picture
Answer:
1. Altitude
2. Median
3. Angle bisector
4. Perpendicular bisector
Anyone please solve and explain part b
Answer:
f(2) = -6
f inverse of 1/2 is 17/2
Step-by-step explanation:
We are given a function [tex]\displaystyle \large{f(x) = \frac{6}{2x-5}}[/tex]
To solve for part (a), we have to substitute x = 2 in f(x).
[tex]\displaystyle \large{f(2)=\frac{6}{2(2)-5} \\\displaystyle \large{f(2)=\frac{6}{4-5}=\frac{6}{-1}=-6[/tex]
Therefore, f(2) is -6.
Now we solve for part (b), we see the notation which is a minor different similar to f(x). We see that there is exponent of -1 between f and 1/2. The part (b) indicates that the function is an inverse of f(x).
[tex]\displaystyle \large{y=f^{-1}(x) \longrightarrow x=f(y)}[/tex]
To solve for part (b), first we solve for x in the function. Let f(x) = y.
[tex]\displaystyle \large{y=\frac{6}{2x-5}}[/tex]
Multiply both sides by 2x-5.
[tex]\displaystyle \large{y(2x-5)=\frac{6}{2x-5}(2x-5)}\\\displaystyle \large{y(2x-5)=6}[/tex]
Divide both sides by y-term.
[tex]\displaystyle \large{\frac{y(2x-5)}{y}=\frac{6}{y}}\\\displaystyle \large{2x-5=\frac{6}{y}}\\\displaystyle \large{2x=\frac{6}{y}+5}\\\displaystyle \large{x=\frac{6}{2y}+\frac{5}{2}}\\\displaystyle \large{x=\frac{3}{y}+\frac{5}{2}}[/tex]
Then swap x and y which we receive [tex]\displaystyle \large{y=\frac{3}{x}+\frac{5}{2}}[/tex]
Therefore, [tex]\displaystyle \large{f(x)=\frac{6}{2x-5} \longrightarrow f^{-1}(x)=\frac{3}{x}+\frac{5}{2}}[/tex]
Thus, [tex]\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{3}{\frac{1}{2}}+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=6+\frac{5}{2}}\\\displaystyle \large{f^{-1}(\frac{1}{2})=\frac{17}{2}}[/tex]
____________________
Let me know if you have any questions in comment.
How many combined points do lee high school and rye high school have lee high school has 85.9 points scored in two track meets and peters high school has 15.5 points scored in two track meets and rye high school has 23.4 points scored in two track meets what is the combined total points for all three highschools? Lee high school and rye high school have _ combined points
Answer:
124.8 points (Total)
109.3 points (Lee High School & Rye High School)
Step-by-step explanation:
Points by Lee High School = 85.9 pointsPoints by Peters High School = 15.5 pointsPoints by Rye High School = 23.4 pointsTotal
85.9 + 15.5 + 23.4101.4 + 23.4124.8 pointsLee HS and Rye HS
85.9 + 23.4109.3 pointsMay someone help me please!
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist
Write the inequality represented by the graph below.
Answer:
y > -x + 3
Step-by-step explanation:
find the slope and y-intercept so you can create a linear equation:
y = mx + b ; m = slope and b = y-intercept
slope (m) = (3-0) / (0-3)
m = 3/-3 or -1
we can see the y-intercept by looking at the graph, it is 3
y > -x + 3
The table shows the distance between Greenville and nearby towns. The distance between Astaville and
Greenville is 14 miles less than the distance between Greenville and Jonesborough,
Distance between Greenville and
Nearby Towns(miles)
Jonesborough
24
Willfower 21
Maybem 30
Part 1 out of 2
Enter two equations that state the relationship of the distances between the three towns. Use x as the
variable
an equivalent expression to x-2y+3
Answer:
[tex]y=\frac{-x-3}{-2}[/tex]
Step-by-step explanation:
1. The first thing you should do is put it equal to 0:
[tex]x-2y+3=0[/tex]
2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:
[tex]x-2y+3=0[/tex]
-3 -3
[tex]x-2y=-3[/tex]
3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:
[tex]x-2y=-3[/tex]
-x -x
[tex]-2y=-x-3[/tex]
4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.
[tex]\frac{-2y}{-2} =\frac{-x-3}{-2}[/tex]
5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:
[tex]y=\frac{-x-3}{-2}[/tex]
pls help on my maths question
Answer:
Somewhat illegible but looks like the equation should be:
S = u t + 1/2 a t^2
100 = 20 + 1/2 * a * 4 where t = 2
a* 4 = 160
a = 40
Solve for b
32 = 12 + 5/6b
Answer:
b=24, please give Brainliest if this helped you
Step-by-step explanation:
Find the roots 3x^3-13x^2-26x-24
Thank you
Answer:
31781715561888155919761999
5. You purchase a bicycle with a retail (pre-tax) price of $760. The local sales tax rate is
7.6%. What is the final cost?
Answer:
Final cost is 817.76
Step-by-step explanation:
First find the amount of the tax
760 * 7.6%
760 * .076
75.76
Add this to the cost of the bike
760+57.76
817.76
what's the answer? and how did you get it??
Answer:
97
Step-by-step explanation:
A straight horizonal line is 180 degrees, so you subtract 83 from 180 to get 97, which is the measure of angle JKL
Find 3 other points for this equation ( please help!! ) not bots.
Answer:
(0,6), (1,7), (2,8)
Step-by-step explanation:
9. Change the given equation to the form y = mx + b. Give the values of b and m.
x + 4y = 16
B=
M=
1.(−9)÷ ?=5
2.?÷(−2)=−6.41
Sketch the graph of each line
The standard equation of a line is y = mx+ b
where:
m is the slope of the lineb is the y-intercept of the lineThe y-intercept is the point where the line cuts the y-axis
For the equation y = -2x -4
For the equation, the line will cut the y-intercept at y = -4 with a negative slope of -2.For the equation y = -5/2x
For the equation, the line will cut the y-intercept at y = 0 with a negative slope of -5/2.Find the graphs attached.
Learn more on graphs here: https://brainly.com/question/25020119
Can someone help me with 45 ?
Answer:
h⁰ = 84⁰
f⁰ = 132⁰
g⁰ = 28⁰
Step-by-step explanation:
As we know that sum of all the angles in a triangle is 180⁰, so,
h⁰ + 48⁰ + 48⁰ = 180⁰
h⁰ = 84⁰
Now, we can find f⁰ by Linear Pair theorem, which states that the angles sum will equal to 180⁰.
48⁰ + f⁰ = 180⁰
f⁰ = 132⁰
Again, g⁰ can be founded the same way as h⁰.
20⁰ + 132⁰ + g⁰ = 180⁰
g⁰ = 28⁰
HOPE IT HELPS :)
The relationship between y and x is 9/3 which table represents this relationship and why?
Answer:
First one
Step-by-step explanation:
For every 1 in x the y goes up by 3
HELP ME PLEASE, I need help and don’t understand at all !
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A nursery has 15 bags of topsoil. Each planter holds 1/8 of a bag.
How many planters can be filled with the topsoil?
Enter your answer in the box.
|__| planters
MUST HAVE:
*Show work*
Answer:
120 planters can be filled with topsoil.
Step-by-step explanation:
Since each planter can hold 1/8th of a bag of topsoil, this means that one bag of topsoil can fill up 8 planters.
15 x 8 = 120, so this means that 120 planters can be filled with topsoil.
:)
what number set does -7 belong to
Answer:
Integers
Step-by-step explanation:
Integers include both positive and negative numbers. This is the simplest answer. This set doesn't include any fractions or decimals. Integers are a subset of rational numbers, which are a subset of real numbers, which are a subset of complex numbers.
0.081 to simplest form
81/1000
hope this helps!
Given the system of equations, what is the x-coordinate of the solution?
y = 3 - x 1/2
3x + 4y = 1
-11
22
-17/2
Answer:
i think x = -11
Step-by-step explanation:
x = -11
y = -17/2
Answer:
x = -11
Step-by-step explanation:
15 more than the quotient of a number x and 12.
Answer:
(x/12)+15
Step-by-step explanation:
FACTORIZE AND Split the middle term: 72 + b - b^2
Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)