Answer:
what happened are you OK
Mackenzie purchased a ticket to the local music festival for $25. The ticket
includes entry and access to up to 3 events at the festival. Each additional
event costs $6. The total cost for attending x events is given by the
functions T(x) and E(x).
T(x) = 6(x-3) + 25, where x>3
E(X) = 25, where 0 sxs3
After a small search, I've found that we want to find the inverses of both functions. We will find that E(x) does not have an inverse function, and the inverse function of T(x) is h(x) = x/6 - 1/6
Here we have a piecewise function:
T(x) = 6(x-3) + 25 if x > 3
E(x) = 25 if 0 ≤ x ≤ 3
First, remember that two functions f(x) and g(x) are inverses if:
f(g(x)) = x
g(f(x)) = x
From that definition we can see that E(x) does not have an inverse, because for any function g(x), we will have:
E(g(x)) = 25
So E(x) can't meet the condition.
Now let's analyze the function T(x)
T(x) = 6(x-3) + 25
We can rewrite it as:
T(x) = 6x - 6×3 + 25
T(x) = 6x + 1
Note that T(x) is a linear equation, so the inverse will also be a linear equation. Let's assume that the inverse is h(x) = ax + b
We will have:
T(h(x)) = 6×h(x) + 1 = 6(ax + b) + 1
Now, if these are inverses, we have:
6(ax + b) + 1 = x
6ax + 6b + 1 = x
Then we must have:
6b + 1 = 0
6ax = x
From the first equation, we can get:
6b + 1 = 0
6b = -1
b = -1/6
From the second equation we have:
6ax = x
6a = 1
a = 1/6
Then:
h(x) = x/6 - 1/6
And this is the inverse function of T(x)
If you want to learn more, you can read:
https://brainly.com/question/10300045
evaluate (3x)(5y) for x=-1, y=2
Answer:
-30 or 2 i dunno.
Step-by-step explanation:
[tex](3x)(5y) = (3 \times - 1)(5 \times 2) \\ - 3 \times 10 = - 30 \\ \\ or \: An \: other \: way \\ \\ (3x)(5y) = 15xy \\ 15( - 1)(2) = - 30[/tex]
I hope I helped you^_^
Translate and solve: Three-fourths of p is 18.
hi <3
just form a quick equation:
3/4p = 18
divide both sides by 3/4 to get your answer:
p = 24
hope this helps :)
How do you solve this problem?
Sorry can't help
can't see the whole question
The midpoint of a segment can be found using the formulas for a directed line segment, x = (x2 – x1) + x1 and y = (y2 – y1) + y1. When using these formulas to find a midpoint, which is true?
The midpoint of a segment can be found using the formula as follows:
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
How to find the mid point of a segment?The midpoint is the middle point of a line segment.
In other words, the midpoint of a segment is the point on that line segment that divides the segment into two congruent segments.
The mid point of a segment can be represented mathematically as follows:
Hence,
mid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
learn more on midpoint here:https://brainly.com/question/17192794
#SPJ1
3 hundreds + 7 hundreds in standard form
HELP PLEASE
Find the length of AB
Step-by-step explanation:
hopefully it makes sense and is visible
:)
if demand function is Qd=150+10p and supply function is Qs=300-2p, find the equilibrium price.
Answer:
[tex] qd = qs[/tex]
150+10p=300-2p
10p+2p=300-150
Step-by-step explanation:
12p=150
P=150÷12
P=12.5
The equilibrium price is 12.5 or 13
1=v/7-2 solve and right the equation of how u got that answer
Answer:
v = 21
Step-by-step explanation:
1 = v/7 - 2
~Add 2 to both sides
3 = 1/7v
~Multiply 7 to both sides
21 = v
Best of Luck!
help with this problem plz
Answer:
22
Step-by-step explanation:
All thats need to do in this problem is add both line lengths to find the length of FH.
8 + 14 = 22
Best of Luck!
Simplify the expression. 8c2 x –3c7
Answer:
the solution is (-2^3 · 3C^9)Step-by-step explanation:
Step 1(8 • (c2)) • (0 - 3c7)Step 223c2 • -3c7Step 3c2 multiplied by c7 = c(2 + 7) = c936 + 14 = 2(18+▯)
What factor is missing from the equation
Bernadette is a goalie and blocks the goal 20 out of 32 times. What is the experimental probability that Bernadette will block the goal on the next kick? Write your answer as a fraction, decimal, and percent.
Answer:
5/8 or 0.625 or 62.5%.
Step-by-step explanation:
20/32 Divide top and bottom by 4:-
= 5/8.
Please help ASAP pleaseeee no links or fake answers
URGENT. I NEED TO DO IT
Answer:
[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]
Answer:
2nd option and last option
Step-by-step explanation:
the first option is an equation: it has a solution.
the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.
the third option is an equation since it has the equal sign, and thus, has a solution.
the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)
lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.
evaluate the expression when b=5
Answer:
9. [tex]35^{2}[/tex] or 1225
12. [tex]15^{2}[/tex] or 225
Step-by-step explanation:
Put 5 instead of b
9. [tex](7b)^{2}[/tex]
= [tex](7 * 5)^{2}[/tex]
= [tex]35^{2}[/tex] or 1225
12. [tex](3b)^{2}[/tex]
= [tex]( 3 * 5)^{2}[/tex]
= [tex]15^{2}[/tex] or 225
WRITE Math Consider 7 X 10 x 10 x 10 x 10.
Write a pattern to find the value of the expression.
Answer:
I dont know if I'm wrong but I think its
Step-by-step explanation:
7×10=70
70×10=700
700×10=7000
7000×10=70000
I MIGHT BE WRONG AND IF I AM IM SORRY
what is 63 divided by 1000
Answer:
0.063
Step-by-step explanation:
13. (x + 5) +(4.x - 7)
+
Answer:
[tex]5x - 2[/tex]
Step-by-step explanation:
[tex](x + 5) + (4x - 7)[/tex]
[tex]x + 5 + (4x - 7)[/tex]
[tex]x + 5 + 4x - 7[/tex]
[tex]5x + 5 - 7[/tex]
[tex]5x - 2[/tex]
Any mathematics genius around. To solve this question.. am giving the brainliest
Which answer shows three ways to write 2/3 as a ratio?
Answer:
2/3 can be wrtten in three ways
Step-by-step explanation:
1: 6/9
2. 4/6
3.20/30
HELPP its hard this is too hard for Shay ( my name)
Answer:
ok
Step-by-step explanation:
yeet
4. Triangle SRT is shown.
Session 1
104
9+
8+
77
6+
5+
S
4-
3+
T
2+
1+
R
0
2
3
4
6
7 8
9 10
Choose the correct equation or phrase to fill in each blank in the
paragraph. For each blank, fill in the bubble before the equation or
phrase that is correct.
The vertices of ASRT are S (1,4), R (2, 2) and T (1, 3). A reflection across
the line
[x = 4 x = 6 © y = -x + 5 y = -x + 6)
and then across the line
[ y = 6 y = 8 y = -x + 10
y = -x + 12) is the same as a translation of 4 units to the right and
4 units up because the lines are
[ congruent parallel
perpendicular similar).
0
Answer:
jeopardise is the shape for a new one and a half way back home from work answer to your friend request I think we will have a better deal than the other and it will probably be worth a few more weeks and more for free if marbles cost me a fortune in the proportion I have any more goal 6 to be do the amount best money we you any of our country on gara cha are in 7th July yu 28th yu38 and I will also have to pay for free diamond app and culture of your responsibility and to get the money back for the establishment that you obeserved want for your birthday so I the money for the money in my house telephoto and the money is going out for free ff and we have not book yet and I don't know what to 2nd look for at all of these and 3IBB on gar 2
Please help me with this Geometry problem
What are the solutions of the equation? X^2-16/25=0
x= 4/25 and x =-4/25
x = 8/25and x =-8/25
x = 16/25and x = -16/25
X =4/5 and x=-4/5
Answer:
x=4/5 ,x=-4/5
Step-by-step explanation:
Equation:
x²-16/25=0
x²=16/25
x=+-√16/25
x=+-4/5
Note:if you need to ask any question please let me know.
HELP ME HELP ME
What is the slope of the line?
-2y-2 pls solve
pls hard for me
Answer:
−2(y+1)
Step-by-step explanation:
factor ..................
Multiply (2a-5)(4a-7) Simplify your answer
[tex](2a - 5)(4a - 7)[/tex]
[tex]2a(4a - 7) - 5(4a - 7)[/tex]
[tex]8 {a}^{2} - 14a - 20a + 35[/tex]
[tex]8 {a}^{2} - 34a + 35[/tex]
Step-by-step explanation:
( 2a - 5 ) ( 4a - 7 )
2a ( 4a - 7) - 5 ( 4a - 7 )
8a² - 14a - 20a + 35
8a² -34a + 35
Solve the following numerical problems. a. If a bus travels 6 km in 10 minutes, what distance does it travel in 1 secon
Answer:
10 meters
Step-by-step explanation:
An Olympic diver jumps off of a platform that is 10 meters high. The diver goes 2 meters underwater after a dive. How far is it from the starting point at the top of the platform to the depth under water?
Answer:
12 meters far.
Step-by-step explanation:
The question translates to 10+2. The word problem states that the height of the platform is 10 meters. That means we can say that he'd have already traveled 10 meters down when he dived. And the problem also states that the diver goes two meters under the water, meaning that he had traveled 2 meters, in addition to the 10 meters. And so, we add the 10 and 2 to get 12 meters in total.