What is the inverse of function f?
A.
B.
C.
D.
[tex]f^{-1}(x) = 3-7x\\\\[/tex]
=====================================================
Work Shown:
[tex]f(x) = \frac{3-x}{7}\\\\y = \frac{3-x}{7}\\\\x = \frac{3-y}{7}\\\\7x = 3-y\\\\7x+y = 3\\\\y = 3-7x\\\\f^{-1}(x) = 3-7x\\\\[/tex]
The idea is to swap each x and y, then solve for y to find the inverse.
can someone please help me with Arithmetic Sequences
Answer:
287
Step-by-step explanation:
Sum of A Finite Arithmetic Sequnece is
[tex] \frac{a _{1} + a _{n} }{2} n[/tex]
Where a1 is first term
an is final term
N is the number of terms.
We know a1 is 1
An is 40 but we don't know n.
To find n, we use the definition of a Arithmetic Sequence
[tex]a _{n} = a + (n - 1)d[/tex]
where d is the common difference. Let use the final term, 40 as a example.
Here the common difference is 3 so we have
[tex]40= 1 + (n - 1)3[/tex]
[tex]39 = 3(n - 1)[/tex]
[tex]13 = n - 1[/tex]
[tex]14 = n[/tex]
So we have 14 terms in this finite series.
Now we compute
[tex] \frac{1 + 40 }{2}(14) = \frac{41}{2} (14) = 41 \times 7 = 287[/tex]
So the answer is 287
Please help will mark
A scientist uses the equation shown below to predict the future population of a species. In the equation, y represents the estimated population and trepresents the number of years.
y=150•4^t
Which number is closest to the value of y when t=3/2
Answer:
1200 i think
Step-by-step explanation:
i used a calculator since its hard for me to do mental math
question 2
(sorry i replied late i was doing some of my school work)
so you make A be equal to 5000 since you want to know when his account will be that much money sooo
5000 = 2000(1.07t)
you divide 2000 from both sides
5000/2000 = 1.07t
5/2 = 1.07t
now you have to isolate t to solve for it
soo divide 1.07 to both sides
5/2 / 1.07 = t
t is equal to about 2.34 or 2 years (depends on what it tells you to round to) in the calc t is 2.336448598
so in maybe 2 years he'll have 5000 dollars
19. The trailer of an 18-wheeler measures 53 ft x 15 ft x 10 ft. How much freight will it hold?
O
A. 7950 ft
OB. 1200 ft
O C. 203 ft
O D. 78 ft
Answer:
A. 7950 sq. ft
Step-by-step explanation:
Volume of trailer = volume of a cuboid
Volume = l × w × h
Volume = 53 × 15 × 10 = 7950
North High School just put on
their Spring musica. The theater
department sold tickets for $5 for
adults and $2 for students. If they
sold 574 fickets for $2,120, how
many of each ticket was sold?
5x + 2y = 2120
x + y = 574
2y = 2120 - 5x
2y = 1148 - 2x
1148 - 2x = 2120 - 5x
-972 = -3x
x = 324
574 - 324 = y
y = 250
324 adult tickets sold, 250 student tickets sold
When Juan got home from school, he worked on his homework for 45 minutes. Then, he took a break and had a snack for 35 minutes, and after that went to baseball practice for 1 hour and 55 minutes. He finished baseball practice at 6:05 p.m. What time did he get home from school? of
Answer:
2:50 p.m.
Step-by-step explanation:
After he got home, his activities were:
homework: 45 minutes
break & snack: 35 minutes
baseball practice: 1 hour 55 minutes
1 hour = 60 minutes
Total time of activities:
45 minutes + 35 minutes + 60 minutes + 55 minutes = 195 minutes
195 minutes = 180 minutes + 15 minutes = 3 hours 15 minutes
Now we subtract 3 hours 15 minutes for 6:05 p.m.
6:05
- 3:15
----------
We need to borrow 1 hour from 6 hours. 1 hour is 60 minutes. 6 hours becomes 5 hours. We add the 1 hour as 60 minutes to the 5 minutes.
6:05 5:65
- 3:15 --------> - 3:15
----------- ----------
2:50
Answer: 2:50 p.m.
Help need answers asap
Answer:
x = 25
y = 6
Step-by-step explanation:
< B = < M
2x - 20 = 30
2x = 50
x = 25
AB = LM
7y - 8 = 2y + 22
5y = 30
y = 6
please help!!! ASAPPP 18 pts + brainlest
Answer:
2,544.42
Step-by-step explanation:
HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME
Jonathan needs to make 5 bowl of pasta.if he uses 145mL of sauce.how many milliliters of sauce will he use for each bowl of pasta
Answer:
145/5 = 29
Step-by-step explanation:
I am not sure of this answer if this is correct please mark me as brainliest
What is the volume of a cylinder, in cubic cm, with a height of 3cm and a base diameter of 10cm? Round to the nearest tenths place.
Area=30
Calculate area of the rectangle:30
[tex]\frac{1}{3} + \frac{1}{3}[/tex]
42=3x+6
what’s x in this equation
Answer:
X = 12
Step-by-step explanation:
Input 12 for X
[tex]3*(12)+6 = 42[/tex]
Answer:
x = 12
Step-by-step explanation:
The value of x is 12. (Refer attachment)
Beth withdrew $35 from her checking account. in which column should she record the $35 withdrawal? a checking account has columns check number, debits, deposits, balance. check number debit deposit balance
In the debit column, She records the $35 withdrawal. Debit is balanced in basic accounting by credits,
What is debit?On a balance sheet of a company, a debit is an accounting entry that results in an increase in assets or a decrease in penalties.
Debits are balanced in basic accounting by credits, which function in the reverse manner.
If anyone withdraws the money from the account. The withdrawal will record in the debit column.
Hence In the debit column should record the $35 withdrawal.
To learn more about the debit refer to the link;
https://brainly.com/question/14279491
Answer: Debit
Step-by-step explanation: took the test (:
Graph f(x) = x and g(x) = 5x + 1. Describe the transformations from the graph off to
the graph of g.
Answer:
the G graph runs straight through the middle while the F does not
Please help. I’ll mark you as brainiest and give 20 points
Answer:
i and iii are correct
Step-by-step explanation:
ur welcome:)
Factor the expression below. 12x3−18
Answer:
6(2x³-3)
Step-by-step explanation:
To factor the expression: 12x³−18:
We rewrite 12x³ as 6×2x³
And rewrite -18 as -6×3
6×2x³-6×3
Take out the common factor of 6:
6(2x³-3)
This is our answer
Brainliest please!
Para las celebraciones del barrio de Santiago se junto cierta cantidad de dinero que se distribuirá de la siguiente forma:?
Answer:
4,767
Step-by-step explanation:
The distance around a meter crater is 9755 ft. Find the diameter of the crater. Use 22/7
Answer:
[tex]\frac{68285}{44}[/tex] or [tex]1551.93181818...[/tex]
Step-by-step explanation:
[tex]\frac{9755}{2(\frac{22}{7})}\\\\[/tex]
Answers :
the Pythagorean theorem
angle-angle similarity theorem
triangle sum theorem
interior angle theorem
Answer:
angle-angle similarity theorem
The largest major arc is:
MHJ
JMG
GNM
HLI
Answer:
the correct answer is HLI
At a bowling alley, there is a flat fee of
$
5.00
to rent shoes. In addition, it costs
$
1.25
for each game bowled.
Which equation shows the total cost (
c
) for the number of games (
g
) one bowls?
Answer:
I don't see any answer options, but the total cost should be:
c = $5.00 + $1.25g
Step-by-step explanation:
Assuming that the cost is for one person playing g games, and that person needs to rent 1 pair of shoes, the cost should be:
c = $5.00 + $1.25g
good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
someone answer part B.
Not letting me add answer
Refer to the attachmentApply the distributive property to factor out the greatest common factor.
22c+33d =
Answer:
Step-by-step explanation:
First find the GCF of 22 and 33
22 = 2 * 11
33 = 3 *11
GCF = 11
Distributive property:a*(b+c)=(a*b) + (a*c)
22c + 33d = 11 * 2c + 11 * 3d
= 11*(2c + 3d)
Owen has a mask collection of 300 masks. He keeps 63 of the masks on his wall. What percentage of Owen's mask collection does he keep on his wall?
Using the percentage concept, it is found that he keeps 21% of his mask collection on the wall.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, the parameters are a = 63 and b = 300, hence the percentage is given by:
[tex]P = \frac{63}{300} \times 100\% = 21\%[/tex]
More can be learned about the percentage concept at https://brainly.com/question/10491646
Someone pls help?????????????????????
Answer:
10 more couches were sold.
Step-by-step explanation:
On Tuesday, they sold 15 couches, while on Wednesday only 5 were sold.
15-5=10 Couches
1 + = 24 + 5 what is the answer please help
Answer:I think it would be 28
Step-by-step explanation:
I think you mean 1+x=24+5, so that's what i'm answering
1 + x = 24 + 5
1 + x = 29
-1. -1
x= 28
6 Xavier earns $12.50 for each lawn he mows. If he mowed 8 lawns last week, how
much money did he earn? Show your work.
Answer:
12.50x2.50x8=w
Step-by-step explanation:
12.50×8=100
Answer:
$100
Step-by-step explanation:
12.50 multiplied by 8.
SORRY BUT I HAVE ANOTHER PROBLEM!!!!! WILL GIVE BRAINLIEST & 50 POINTS
For all [tex]x \neq -3, \frac{x^2-6x +9}{6x-18} =[/tex]
F. [tex]\frac{x+3}{x-3}[/tex]
G. [tex]\frac{x-3}{6}[/tex]
H. [tex]\frac{1}{x-3}[/tex]
J. [tex]x-3[/tex]
K. [tex]\frac{x}{3}[/tex]
Answer:
The correct option is G.Hope this help!!
Just factor out
[tex]\\ \rm\hookrightarrow \dfrac{x^2-6x+9}{6x-18}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{x^2-3x-3x+9}{6(x-3)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{x(x-3)-3(x-3)}{6(x-3)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{(x-3)(x-3)}{6(x-3)}[/tex]
[tex]\\ \rm\hookrightarrow \dfrac{x-3}{6}[/tex]
Find the distance covered by a car in 3x hours is 27x³ + 9x² - 3x Find the rate of the car. Show your solution.
Answer:
distance = 27x³ + 9x² - 3x , time = 3x ,
rate =?
[tex]distance = rate \times time \\ \\ rate = \frac{distance}{time} \\ \\ r = \frac{d}{t} \\ \\ r = \frac{27 {x}^{3} + 9 {x}^{2} - 3x}{3x} \\ \\ r = \frac{3x(9 {x}^{2} + 3x - 1) }{3x} \\ \\ r = 9 {x}^{2} + 3x - 1[/tex]
So; The rate of the car equal (9x²+3x-1)
60 POINTS!!
Match the steps to solve the following equation using distributive property. 4 (2x - 6) = 24
Answer:
1) 8x - 24 = 24
2) 8x - 24 + 24 = 24 + 24
3) 8x = 48
4) x = 6
Step-by-step explanation:
Bolded are the answer choices:
4(2x - 6) = 24
First, distribute 4 to all terms within the parenthesis:
4(2x - 6) = 24
(4 * 2x) - (4 * 6)
(8x) - (24) = 24
8x - 24 = 24.
Next, add 24 to both sides of the equations:
8x - 24 (+24) = 24 (+24)
8x = 24 + 24
8x = 48
8x - 24 + 24 = 24 + 24
Then, divide 8 from both sides of the equation:
(8x)/8 = (48)/8
x = 48/8 = 6
8x = 48
x = 6
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