Answer:
Step-by-step explanation:
log(5) + log(X) = log(5x)
log( 5x) - log(x - 6) = log (5x/(x - 6))
antilog(log(5x/(x - 6)) = antilog(1)
5x / (x - 6) = 10 multiply both sides by x - 6
5x = 10(x - 6) remove the brackets
5x = 10x - 60 Subtract 10 x from both sides
5x - 10x = - 60
-5x = - 60 Divide by 5
x = 12
can someone help with this please????
Given:
The given function is:
[tex]f(x)=11x-11[/tex]
To find:
The value of [tex](f\circ f^{-1})(-11)[/tex].
Solution:
We have,
[tex]f(x)=11x-11[/tex]
First we have to find the inverse of this function.
Putting f(x)=y, we get
[tex]y=11x-11[/tex]
Interchange x and y.
[tex]x=11y-11[/tex]
Isolate the variable y.
[tex]x+11=11y[/tex]
[tex]\dfrac{x+11}{11}=y[/tex]
[tex]y=\dfrac{x+11}{11}[/tex]
Putting [tex]y=f^{-1}(x)[/tex], we get
[tex]f^{-1}(x)=\dfrac{x+11}{11}[/tex]
Now,
[tex](f\circ f^{-1})(-11)=f(f^{-1}(-11))[/tex]
[tex](f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)[/tex] [tex]\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right][/tex]
[tex](f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)[/tex]
[tex](f\circ f^{-1})(-11)=f\left(0\right)[/tex]
The given function is [tex]f(x)=11x-11[/tex].
[tex](f\circ f^{-1})(-11)=11(0)-11[/tex]
[tex](f\circ f^{-1})(-11)=-11[/tex]
Therefore, the value of [tex](f\circ f^{-1})(-11)[/tex] is [tex]-11[/tex]. Hence the correct option is A.
Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) is a rhombus
Answer:
The quadrilateral is a rhombus
Step-by-step explanation:
Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus
A rhombus is a quadrilateral with all its sides equal to each other.
We prove this using the formula
√(x2 - x1)² + (y2 - y1)²
When given vertices (x1, y1) and (x2, y2)
For sides PL
P(-2, 3) L( 2, 6)
√(2 - (-2))² + (6 - 3)²
= √4² + 3²
= √16 + 9
= √25
= 5 units
For sides LU
L( 2, 6) U (7,6)
√(7 - 2)² + (6 - 6)²
= √5²
= √25
= 5 units
For side US
L( 2, 6) U (7,6)
= √(7 - 2)² + (6 - 6)²
= √5² + 0²
= √25
= 5 units
P(-2, 3), S(3, 3)
= √(3 - (-2))² + (3 - 3)²
= √5² + 0²
= √25
= 5 units
From the above calculation,
PL = LU = US = PS = 5 units
Hence, the above quadrilateral is a rhombus
At a carnival in a small town, the entry fee was $8 per person, and the cost for each ride ticket was $2. The inequality below was used to determine if the town met its goal of earning more than $1,650 each day the carnival was open. 8p + 2r > 1,650 The following variables were used: p = the number of people who attended the carnival r = the number of ride tickets sold• On Friday, 150 people attended the carnival. A total of 275 ride tickets were sold. • On Saturday, 110 people attended the carnival. A total of 340 ride tickets were sold. • On Sunday, 130 people attended the carnival. A total of 305 ride tickets were sold.For each day the carnival was open, state whether or not the town met its goal. Show all the steps you took to find your answers using the provided inequality. Respond in the space provided.
Answer:
$1000
Step-by-step explanation:
please click the heart and rate excellent and brainleist to ❤☺️☻♨️♨️☻☺️❤
HI HELP THANK YOU LOVE U SM BAES
the answer is b 1/2 <3
Pls? Help? No links pls lol
(2, -3) is the answer
Russell has already taken 540 quizzes during past quarters, and he expects to have 5 quizzes
during each week of this quarter. After attending 5 weeks of school this quarter, how many
quizzes will Russell have taken in total? Write and solve an equation to find the answer.
quizzes
Help please it’s IXL
Answer:
565
Step-by-step explanation:
5x5=25
540+25=565
Kayla owns a food truck that sells tacos and burritos. She sells each taco for $3 and each burrito for $7.25. Yesterday Kayla made a total of $595 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
5/6 + 7/9
help me pls
Solve the equation. 6x−7=2x+13
Answer:
6x - 7 = 2x + 13
6x - 2x = 13 + 7
4x = 20
x = 20/4
x = 5
Hope it helps!
hey im asking this question so u can get points lol
what color is the sky??
Step-by-step explanation:
it appears blue to the human eye.
(10x-23) how do i find x with 106 as an arc
Using the congruence of triangles, the value of x comes to be 15°
What is a circle?A circle is a locus of a point that moves in a plane such that its distance from a fixed point remains constant.
Connect A to D
So, ∠BAC=53°
From the congruence of triangles
∠BAD=∠CAD =53/2 = 26.5°
Also, ∠BAD=∠ABD (since AD=BD=radius)
So, ∠BDA + ∠BAD + ∠ABD=180°
10x-23 + 26.5+26.5 = 180
10x+30=180
10x=150
x=15°
Hence, Using the congruence of triangles, the value of x comes to be 15°
To get more about circles visit:
https://brainly.com/question/24375372
add h and 6, then subtract 2 from the result
Answer:
Step-by-step explanation:
(h + 6) - 2 Here we find the sum of h and 6, and from that sum we subtract 2.
This simplifies to h + 4.
Answer:
h+4
Step-by-step explanation:
h+6-2=h+4
Order these numbers from least to greatest. 9.207, 9.4, 9.2712, 9.27
Answer:
9.207, 9.27, 9.2712, 9.4
Step-by-step explanation:
Which expression represents the volume of the prism?
Answer:
Option A 1/2x³ is your answer
Answer:
Step-by-step explanation:
At summer camp, the cook asks 6 campers to help with slicing watermelons. Each camper slices 4 ½ watermelons. How many melons do the campers slice?
Answer:
27 melons
Step-by-step explanation:
Number of melons sliced = Number of melons sliced by each camper * number of campers
= 4 1/2 * 6
[tex]= \frac{9}{2}*6\\\\=9*3\\\\= 27[/tex]
Answer:
Solution :-No. of campers = 6
Melon slice by 1 camper = 4½
Total melons sliced = 4 ½ × 6
Total melons sliced = 9/2 × 6
Total melons sliced = 9 × 3
Melons sliced = 27★
[tex] \\ [/tex]
Need help on this please!! ASAP!!
Answer:
The value of n is -14
Step-by-step explanation:
x3 × x-17
x3-17
x-14
[tex]{ \large{ \sf{ \red{ \star \: \: { \boxed{ \sf{(x {}^{a} )(x {}^{b} ) = x {}^{a + b} }}}}}}}[/tex]
Given:[tex]{ \large{ \sf{ \red{ \rightarrow(x {}^{3} )(x {}^{ - 17} ) = x {}^{n} }}}}[/tex]
[tex]{ \large{ \red{ \sf{ \rightarrow{x {}^{3 - 17} = x {}^{n} }}}}}[/tex]
[tex]{ \large{ \sf{ \red{ \rightarrow{x {}^{ - 14} = x {}^{n} }}}}}[/tex]
[tex]{ \large{ \blue{ \therefore{ \underline{ \underline{ \sf{n = - 14} \: \: Ans.}}}}}}[/tex]
find w to find the measure of the exterior angle
Answer:
by using exterior angle property I.e. sum of opposite interior angles are equal to the exterior angle
w = 50 + 50
= 100
If a rescue vessel has enough provisions for 10 people to survive for 6 days, how long will
12 people survive on the vessel?
Paul had a job during his summer vacation he earned 11.25 dollars per hour he worked 20 hours per week for 6 weeks. How much money did he earn?
Please help!!! look at attached image below i need an answer asap
Answer:
30
Step-by-step explanation:
180-53-97
I WILL GIVE BRAINLEST
Jenny is a full-time college student at the local university. She is debating whether to purchase renter's insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter's insurance is important. Also, give your recommendation on how much renter's insurance she should purchase and why.
I WILL GIVE BRAINLYEST
Jenny is a full-time college student at the local university. She is debating whether to purchase renter’s insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter’s insurance is important. Also, give your recommendation on how much renter’s insurance she should purchase and why.a. Answers will vary. Jenny should purchase at least$11,050 worth of coverage to ensure that all of her belongings are covered.
i HOPE IT'S HELPFour friends have
boba tea. They cost
$8 total for four. They
Leave a 15% tip. What
is the total they spent?
they leave a tip of $1.20, the total would be $9.20
Answer:
$9.2
Step-by-step explanation:
Four friends spend 8 dollars. However, they also leave a 15% tip. So, you will have to multiply .15 by 8. However that is not it. After, you have to add the product of that with 8. Which will give you 9.2.
A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).
The diameter of the sphere is ___ inches.
Answer:
diameter = 36 in.
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
diameter = 36 in.
help pls D:
9. The table represents some points on a linear
function. Which situation can be modeled by this
function?
X
3
5
7
11
Y
228
380
532
836
A. The cost of buying number of concert tickets for
$76 each.
B. The number of pages y that can be read in 76
minutes.
C. The number of gallons of fuel xthat can be used to
travel 228 miles.
D. The amount of money spent from a savings
account with y dollars.
Answer:
A
Step-by-step explanation:
To the nearest hundredth what is the value of x?
Answer:
take a photo, go math way click the photo thing and then ask your question
Step-by-step explanation:
Answer:
62.25
Step-by-step explanation:
An angle measure 8 less than the measure of its supplementary angle what is the measure of each angle
Answer:
94° and 86°
Step-by-step explanation:
'x-8' = smaller angle
'x' = larger angle
x - 8 + x = 180
2x = 188
x = 94
94 - 8 = 86
What exponent is equivalent to 1/8?
Answer:
Since from the laws of exponents we have that x−n=1xn , it implies that we may write 18=8−1 . 18=123=2−3.
Step-by-step explanation:
what is 9999999999999999999999999999999 X .906 X 828288282 right answers only no g00gle if you comment without a actual right answer i will report you
Answer:
there are a total of 31 9's in the beginning and breaking my head open doing this math from writing on paper we get about 7.50e+39
Step-by-step explanation:
PLEASE HELP ME can someone explain and give the answer
Answer:
[tex] {eb}^{2} = {ab}^{2} + {ea}^{2} \\ {ab}^{2} = {eb}^{2} - {ea}^{2} \\ {ab}^{2} = {20}^{2} - {12}^{2} \\ ab = 16 \\ \\ {db}^{2} = {bc}^{2} + {dc}^{2} \\ {bc}^{2} = {db}^{2} - {dc}^{2} \\ {bc}^{2} = {20}^{2} - {16}^{2} \\ bc = 12 \\ \\ so \: ac = ab + bc \\ ac = 28[/tex]
Solve the following system of equations by elimination: 2x + y = -1 3x - y = -9
Answer:
x = -2, y = 3
Step-by-step explanation:
2x + y = -1
3x - y = -9
2x + y + 3x - y = -1-9
5x = -10
x = -2
2(-2) + y =-1
-4 + y = -1
y = 3