3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtrcted by 6
Answer:
x = -0.5
Step-by-step explanation:
Here we have the sentence:
"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"
The first part:
"3 to the power 2x+3 is subtracted by 9..."
This can be written as:
[tex]3^{2x + 3} - 9[/tex]
"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"
[tex]3^{2x + 3} - 9 = 2*9^{x + 1} - 6[/tex]
Let's solve this for x.
First, we can add 9 in both sides:
[tex]3^{2x + 3} = 2*9^{x + 1} - 6 + 9 = 2*9^{x + 1} + 3[/tex]
We also know the relations:
[tex]a^n*a^b = a^{n + b}[/tex]
and
[tex](a^n)^m = a^{n*m}[/tex]
We can write the left part as:
[tex]3^{2x + 3} = 3^{2x}*3^3 = (3^2)^x*3^3 = 9^x*27[/tex]
And the right side as:
[tex]2*9^{x + 1} + 3 = 2*9^x*9 + 3 = 18*9^x + 3[/tex]
Then the equation becomes:
[tex]27*9^x = 18*9^x + 3[/tex]
Now let's move both terms with 9^x to the left side:
[tex]27*9^x - 18*9^x = 3\\[/tex]
[tex](27 - 18)*9^x = 3[/tex]
[tex]9*9^x = 3[/tex]
[tex]9^x = 3/9 = 1/3[/tex]
Now remember that:
Ln(a^b) = b*Ln(a)
Then if we apply the Ln( ) function to both sides, we get:
[tex]Ln(9^x) = Ln(1/3)[/tex]
[tex]x*Ln(9) = Ln(1/3)[/tex]
[tex]x = \frac{Ln(1/3)}{Ln(9)} = -0.5[/tex]
What is this?
F(x) = (1/3)^x
Answer:
top right is the answer
Step-by-step explanation:
Drag each question to the correct location on the table.
Classify the questions as statistical or not statistical.
Marjorie paid $72.00 for 6 CD's. If the CD's are all the same price, what is the price of 1 CD? A) $12.00 B) $9.00 C) $8.00 D) $6.00
Answer:
A
Step-by-step explanation:
CD's Price
6 -------> $72.00
1 -------> x
[tex]x=\frac{72*1}{6}\\\\x=$12[/tex]
Andrea is selling scooters. This equation shows how Andrea's revenue () depends on the number of scooters sold (x). y = 4x How much revenue does Andrea get for each scooter?
Answer:
Andrea get for each scooter?
Step-by-step explanation:
Devon ends up paying extra 28% in intrest, if the ps5 is 500 how much did he pay in intrest?
Answer:
780
Step-by-step explanation:
i think sorry if it is wrong
Last year 500 people attended a concert this year 900 people attended what was the percent increase in attendance from last year to this year
Answer:
80
Step-by-step explanation:
500 to 900? = 80.
Max surveyed 100 of the 200 7th graders that attend his school to help determine new lunch choices in the lunch room. He has come up with these findings.
Which statement is supported by the information in his graphs?
A
It can be inferred that on the days that students are offered pizza and salad, 70% of students are pleased with the offerings.
B
It can be inferred that about the same number of students get a salad as the number of students that like cheeseburgers and tacos combined.
C
It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
D
It can be inferred that if the lunchroom offered cheeseburgers and tacos on the same day, every student would get a tray that day.
Answer:
It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
Step-by-step explanation:
From barchart, we can observe that ; the both pizza and chicken nugget have the highest number of 7th grade students who prefer them. Hence, with these numbers, most students will be pleased if these are the food options served each day.
please help, will mark brainliest :)
Answer:
The answer to this question is the second choice.
Step-by-step explanation:
The lowest elevation in Nevada is about 65
meters below sea level. The lowest elevation in
Florida is about 2/5the value of the lowest
elevation in Nevada. Which value best represents
the lowest elevation, in meters, in Florida?
Answer:
-26 meters
Step-by-step explanation:
first do 65/5 because it is asking how much less florida´s elevation is than nevada´s. and because it is a fraction you do it divided by 5.
65/5=13
so now because the fraction was 2/5 do 13+13
you get 26. so florida´s lowest point is -26 meters.
anyone know this equation ????
Answer:
c (-2,1)
Step-by-step explanation:
use y= and substitute into 2nd equation which will give you x. Then take x value and substitute into first equation which will give you y value and theres your answer
275^2 please answer this question
Answer:
75,625
Step-by-step explanation:
SOMEONE HELP ME PLZ
.
The average marks of 10 students is 41. If the average marks of the top 6 and bottom 5 rankers are 45 and 36 respectively, how much did the
5th ranker score?
a. 41
b. 42
c. 43
d. 40
no spam please
what number is missing ? 54÷ ? =6
Answer:
9
Step-by-step explanation:
9x6=54
Answer:
? = 9
Step-by-step explanation:
Solve the system of equations and choose the correct answer from the list of options.
x + y = 1
y = x −5
Label the ordered pair as (x, y). (4 points)
a
(0, 0)
b
(3, −2)
c
(−2, 3)
d
(−3, 0)
Answer:
b
Step-by-step explanation:
substitute y in x
x+x-5=1
2x=6
x=3
y=3-5
y= -2
Multiply (x - 4)(x - 3)
PLZZZ get it RIGHT, SHOW YOUR WORK,AND NO LINKS PLZ!
Answer:
b
Step-by-step explanation:
(x - 4) (x - 3)
x^2 - 3x - 4x + 12 (you distribute x in (x-4) to each of the terms x and -3 and multiply them. x*x is x^2 and x*(-3) is -3x. Then, you distribute -4 in (x-4) to each of the terms x and -3 and multiply them. -4*x is -4x and -4*-3 is 12)
x^2 - 7x + 12 (B)
Answer:
B
Step-by-step explanation:
x²-3x-4x+12
x²-7x+12
3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together, the classes sold 79 items and earned $118.17 for their school
Answer:
324.6
Step-by-step explanation:
because Together, the classes sold 79 items and earned $118.17 for their school
Shaughn has 36 bottles of soda.
Each bottle holds 20 ounces of soda.
Shaughn will use 15-ounce paper cups to serve the soda.
How many paper cups will he need to hold all of the
Answer:
I think u left out the word sorry dude cant help u
The diameter of a circle is 14 ft. Find its area to the nearest tenth.
Answer:
615.8
Step-by-step explanation:
A=πr2=π·142≈615.75216
Answer:
Solution given:.
diameter=14ft
radius [r]=14/2=7ft
Now
Area of circle =πr²=π×7²=154ft²
What is ;
i^82
(Show work)
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
pls help thank you!!!
Answer:
6 , 3 should be the midpoint
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer:
(x+9)(x+10)
Step-by-step explanation:
9*10=90
9+10=19
Answer:
(x+9)(x+10)
Step-by-step explanation:
Explanation in Image,
Btw the links are Viruses, DO NOT DOWNLOAD ANYTHING FROM THEM
they are bots going around brainly trying to make people download viruses from them, I hate them too btw, I feel you.
help.
step by step please
no links i will report :)
Answer: 2 1/13
Step-by-step explanation: keep change flip. keep 9/13 and then change, so you multiply 9/13x3/1 which is equal to 27/13 which is 2 1/3
Solve: -6 = b/18⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
b=-108
Step-by-step explanation:
answer:
-108 = b
step-by-step explanation:
-6 = b/18
do the inverse to get the variable by itselfwe will have to multiply 18 to both sides(X18) -6 = b/18 (X18) — multiplying b/18 and 18 crosses out the 18's
-108 = b
Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up
against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)
Answer:
Step-by-step explanation:
P = 2b + a = 100
A = b * a
a = 100 - 2b
A = b(100 - 2b) = 100b - 2b^2
dA/db = 100 - 4b
100 - 4b = 0
b = 25
a = 50
A group of mothers answered yes or no to the survey questions below.
Do you have 3 or more children?
Do you own a minivan?
The same mothers responded to both questions. The results are shown in the first table.
Of the 43 mothers with 3 or more children 26 of them own a minivan.
Complete the two way frequency table to represent the correct mothers for each cell of the table.
Answer:
To draw a two way table for the own a mini van table as it says 26 own a minivan for people with 3 or more children is subtraction from the given full total 37;
37 - 26 = 11 and finding two or more children is 51- ?= ? see below ans 51- 11 = 40 for those that don't own a mini van.
Then its quick addition to find 40+17 = 57
See given answers in question already easy to answer in bold before doing the sums.
one or 2 children | 3 or more children Total
Do own a mini van 11 26 = 37
Do not own a mini van 40 17 = 57
Total 51 43 = 94
Please help!!! Confused.
Answer:
[tex] {x}^{2} + 11x + 30[/tex]
Step-by-step explanation:
Area is length x width
The length is
[tex](x + 6)[/tex]
The width is
[tex](x + 5)[/tex]
Multiply both using FOIL Method
[tex](x + 6)(x + 5)[/tex]
[tex] {x}^{2} [/tex]
[tex]6 \times x = 6x[/tex]
[tex]5 \times x = 5x[/tex]
[tex]6 \times 5 = 30[/tex]
Write in standform form
[tex] {x}^{2} + 6x + 5x + 30[/tex]
[tex] {x}^{2} + 11x + 30[/tex]
Help pls! Giving brainliest
Answer:
the 2nd one
Step-by-step explanation:
PLEASE HELP ASAP GIVING 100 POINTS
1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain
2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.
Answer:
this is so easy like just put variables a in b
Step-by-step explanation:
hope you get it
The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)