Answer:
[tex] {f}^{ - 1} (x)= - \frac{4}{3} x + 8[/tex]
Step-by-step explanation:
[tex]f(x) = - \frac{3}{4} x + 6[/tex]
[tex]y = - \frac{3}{4} x + 6[/tex]
[tex]x = - \frac{3}{4} y + 6[/tex]
[tex] - \frac{3}{4} y + 6 = x[/tex]
[tex] - 3y + 24 = 4x[/tex]
[tex] - 3y = 4x - 24[/tex]
[tex]\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}[/tex]
Find the 14th term of the geometric sequence 5, -10, 20, ...5,−10,20,
Answer:
40,960
Step-by-step explanation:
To find the multiplier, set up an equation like this:
[tex]5x=-10[/tex]
The above equation will allow us to find what number, when multiplied with 5 will result in -10. If we divide both sides of the equation by 5, we'll find that the number, x, is -2:
[tex]x=-2[/tex]
We need to find the 14th term. To do this, simply multiply the lattermost number in the sequence by our multiplier, -2.
[tex]20*(-2)=40[/tex]
Since 5 is the first term in the sequence, -10 is the second term in the sequence, and 20 is the third term in the sequence, 40 is the fourth term. Now we just need to find the next ten so that we can find the 14th term. To do that, repeat the process of multiplying the lattermost number by -2 ten more times:
[tex]40*-2=-80\\-80*-2=160\\160*-2=-320\\-320*-2=640\\640*-2=-1280\\-1280*-2=2560\\2560*-2=-5120\\-5120*-2=10240\\10240*-2=-20480\\-20480*-2=40960[/tex]
Therefore, the 14th term is 40,960.
Answer:
-40,960
Step-by-step explanation:
you have to add the negative because there partners in crime
Kayla found the difference of 32 and 18. What is the difference?
Step-by-step explanation:
Just Subtract
32-18
14 Answer
Answer:
Answer is 14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
The teacher plans to buy pillowcases for his students. Each student needs 55 cm of material and there are 83 students. how many does the teacher need to buy for his students ???
Answer:
4565 cm
Step-by-step explanation:
55 * 83
what is the anwser to this on the number line 7 - 6y > 19
Answer:
y < -2
Step-by-step explanation:
7 - 6y > 19
Subtract 7 from each side
7-7 - 6y > 19-7
-6y > 12
Divide each side by -6. remembering to flip the inequality
-6y/-6 < 12/-6
y < -2
To keep it simple i am confused about this problem what can i do?
*show work
*will give brainlist
Answer:
11. 10, 20,30,40,50,60,70
12. 35, 45,55,65,75,85,95
Step-by-step explanation:
10 dollars per week for 7 weeks in equivalent to 10x7 which equals $70.
If you already had $25 you would do 10x7+25. Using PEMDAS you would multiply first (10x7=70) then add 25 (70+25=95)
[tex](x^2+3)^{-1/3} -2/3x^2(x^2+3)^{-4/3}[/tex]
Factor the expression completely.
Answer:
[tex] \frac{ {x}^{2} + 9 }{3 \sqrt[3]{ {x}^{2} } + 3( {x}^{2} + 3)} [/tex]
Step-by-step explanation:
attached
helpppp quick please!! explanation and answers! thanks:)
Answer:
DO NOT CHEAT
Step-by-step explanation:
IT'S HARAM >:(
In this diagram, BAC~EDF. If the area of BAC=15 in2, what is the area of EDF? 4, 5.
Enter a decimal rounded to the tenths.
Answer:
9.6 square inches.
Step-by-step explanation:
We are given that ΔBAC is similar to ΔEDF, and that the area of ΔBAC is 15 inches. And we want to determine the area of ΔDEF.
First, find the scale factor k from ΔBAC to ΔDEF:
[tex]\displaystyle 5 k = 4[/tex]
Solve for the scale factor k:
[tex]\displaystyle k = \frac{4}{5}[/tex]
Recall that to scale areas, we square the scale factor.
In other words, since the scale factor for sides from ΔBAC to ΔDEF is 4/5, the scale factor for its area will be (4/5)² or 16/25.
Hence, the area of ΔEDF is:
[tex]\displaystyle \Delta EDF = \frac{16}{25}\left(15\right) = 9.6\text{ in}^2[/tex]
In conclusion, the area of ΔEDF is 9.6 square inches.
Perform the indicated operations. Write the answer in standard form, a+bi.
-5-7i / 13+4i
Answer:
[tex]thank \: you[/tex]
The number of viewers of a television station in 2003 was 640000.
(a) In 2004, the station had 716800 viewers. Calculate the percentage increase in the number of viewers from 2003 to 2004.
Each year, the television station invites it's viewers to vote for their favourite actors and actresses.
(b) In 2005, the number of viewers was 896000. Of those viewers, 108000 voted.
(i) Calculate the percentage of viewers who voted in 2005, giving your answer correct to the nearest whole number.
(ii) The number of viewers who voted in 2005 was 20% more than that in 2004. Calculate the number of viewers who voted in 2004.
__________
__________
__________
State your answers with the method of how you got your answers.
Answer:
see the attachment hope it helps you
Step-by-step explanation:
Friends is an American television sitcom created by David Crane and Marta Kauffman, which aired on NBC from September 22, 1994, to May 6, 2004, lasting ten seasons.[1] With an ensemble cast starring Jennifer Aniston, Courteney Cox, Lisa Kudrow, Matt LeBlanc, Matthew Perry and David Schwimmer, the show revolves around six friends in their 20s and 30s who live in Manhattan, New York City. The series was produced by Bright/Kauffman/Crane Productions, in association with Warner Bros. Television. The original executive producers were Kevin S. Bright, Kauffman, and Crane.
Angle A is three times the size of angle B.
The sum of the angle measures is 128 degrees.
What is the measure of angle A?
O 32 degrees
O 90 degrees
O 96 degrees
O 30 degrees
First, let's declare our variables
B = x+2
A = 3(x+2)
Now, let's create our expression.
A + B = 128
Plug in the values for A and B
x+2 + 3(x+2) = 128
We need to solve for x. Start off by simplifying the left side.
x+2 + 3x + 6 = 128
Combine like terms.
4x + 8 = 128
Subtract 8 from both sides.
4x = 120
Divide both sides by 4
x = 30
B = x+2 = 30 + 2 = 32 degrees
A = 3(x+2) = 3(30+2) = 3(32) = 96 degrees
Order the number from least to greatest
1. root of seven, 2, root of 8/2
2. root of 220, -10, root of 100, 11.5
Help geometry need help
someone help me please
Answer:
8
if u look closely,triangle abc has 4 identical triangle def in it.
-124 = -7(5x+ 6)- 6x how do I solve this
Answer:
Step-by-step explanation:
-124 = -7(5x+ 6)- 6x Remove the brackets
-124 = -35x - 42 - 6x Combine like terms
-124 = -41x - 42 Add 42 to both sides
-124+42 = - 41x Combine
-82 = - 41x
-82/-41 = x
x = 2
Riley's monthly bank statement showed the following deposits and withdrawals:
-−$105.11, -−$33.75, $113.62, $119.42, $29.64
If Riley's balance in the account was $35.27 at the beginning of the month, what was the account balance at the end of the month?
Answer:
$159.09
Step-by-step explanation:
Math
पाठका सहायताले तलका उखानहरूको अर्थ लेख्नुहोस् : (क) सपनामा खोले खाएको भनेको यही हो
Answer:
pura na hune kaam hunxa vanera jabarjasti garnu. maybe
Factorise : a²+b²-c²+2ab
Answer:
Step-by-step explanation:
a²+b²-c²+2ab
=a²+b²+2ab-c²
=(a+b)²-c²
=(a+b+c)(a+b-c)
Need help with number 5 ASAP.
Answer:
A) ahead 1 space
Step-by-step explanation:
2-3 = -1
-1-2 = -3
-3+4= 1
how do you solve x/4+7=-2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
How do you solve x/4+7 = -2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \frac{x }{4} + 7 = - 2 \\ [/tex]
Multiply both sides of the equation by 4.[tex] \large \sf \: x+28=-8 [/tex]
Subtract 28 from both sides.[tex] \large \sf \: x=-8-28 [/tex]
Subtract 28 from -8 to get -36.[tex] \large \boxed{ \bf \: x=-36 }[/tex]
10. In a 2 hour Mathematics paper, there are
20 questions to be answered by Yao. After
1 hour he had answered 5 questions.
b) What fraction of the time had gone?
Answer:
1/2
Step-by-step explanation:
1 hour=60 minutes
2 hours=120 minutes
60/120=1/2
hope you got it
If you have any problem just ask me
If you think this is the best answer please mark me as brainliest
After 1 hour, Yao had completed 25% (1/4) of the 2-hour Mathematics paper.
In order to understand the fraction of time Yao had spent on the Mathematics paper after 1 hour, let's break down the problem. Yao was given a 2-hour Mathematics paper to complete, and he answered 5 questions in the first hour.
Now, let's calculate the fraction of time that had passed. To do this, we can set up a ratio of the time Yao had spent to the total time available. The time Yao spent is 1 hour, and the total time available is 2 hours. So the fraction of time that had gone can be represented as:
= Time spent / Total time
= 1 hour / 2 hours
= 1/2
Therefore, after 1 hour, Yao had completed half of the allotted time. However, we are asked to express this fraction in terms of questions answered. Yao had answered 5 questions out of a total of 20 questions.
To express the fraction of time in terms of questions answered, we can set up another ratio. The questions Yao answered is 5, and the total number of questions is 20. So the fraction of time that had gone can be represented as:
= Questions answered / Total questions
= 5 questions / 20 questions
= 1/4
Hence, after 1 hour, Yao had completed 1/4 of the total questions in the Mathematics paper. This means he still had 3/4 (or 75%) of the questions to complete in the remaining hour.
To know more about Fraction here
https://brainly.com/question/10354322
#SPJ2
A man is three times as old as his son in 10 years time their combined ages will be 68 how old is each person now person now
Answer:
The dad is 36 and the son is 12
Janet deducted $5 on Monday and another $6 on Tuesday from her savings account. How much money did Janet deduct?
Find the measure of ABD.
Answer:
ABD=26°.
SEE THE IMAGE FOR SOLUTION
Car A costs $10,000 to buy and costs an average of $0.25 per mile to maintain. Car B costs $15,000 to buy and costs an average of $0.15 per mile to maintain. After how many miles would the total cost for each car be the same?
Answer: respuesta A EN 40000 millas
en EN 1000000B
Step-by-step explanation
1+sinx+cosx/1+sinx-cosx=1+cosx/sinx help pls by proving
Answer:
Below.
Step-by-step explanation:
I'll write sin x as s and cos x as c so we have:
(1 + s +c)/(1 + s - c) = (1 + c)/s
Cross multiplying:
s + s^2 + cs = 1 + s - c + c + cs - c^2
s + s^2 + cs = 1 + s + cs - c^2
s^2 + c^2 + s - s + cs - cs = 1
s^2 + c^2 = 1.
- that is sin^2 x + cos^2 x = 1 which is a known identity.
Therefore the original identity is proved.
Kendra bought 235 donuts for $120. Her profit was $35 once she had sold 100 donuts. Which equation below represents Kendra’s profit P(n), as a function of the number sold, n?
P(n)=0.85n-120
P(n)=-0.85n+120
P(n)=0.35n
P(n)=1.55n-120
One of the two equal factors of a number is a _______?
Answer:
A square root
Step-by-step explanation:
A square root is one of two equal factors of a number.
Which inequality is true?
C, because π ≈ 3,14 so 9π = 9 · 3,14 = 28,26 > 27
Subtract -2x^2-4x+2 from -6x+2
Answer:
2x(x-1)
Step-by-step explanation:
-6x+2-(-2x^2-4x+2)
-6x+2+2x^2+4x-2
2x^2-6x+4x+2-2
2x^2-2x
2x(x-1)
Answer:
2x² - 2x
Step-by-step explanation:
- 6x + 2 - (- 2x² - 4x + 2) ← distribute parenthesis by - 1
= - 6x + 2 + 2x² + 4x - 2 ← collect like terms
= 2x² - 2x
