Answer:
f Superscript negative 1 Baseline (x) = StartFraction x squared minus 6 Over 3 EndFraction, x ≥ –2
Step-by-step explanation:
answer is A on edge
The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].
Here,
A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]
We have to find the inverse of given function.
What is Inverse function?
An inverse function is a function that undoes the action of the another function.
Now,
A function is given as, [tex]f(x) = \sqrt{3x + 6}[/tex]
To find inverse function,
Replace f(x) by y in the equation,
[tex]y = \sqrt{3x + 6}[/tex]
[tex]y^{2} = 3x + 6\\y^{2} -6 = 3x \\x = \frac{y^{2} - 6\\}{3}[/tex]
Replace every x by a y and solve for y, we get;
[tex]y = \frac{x^{2} - 6\\}{3}[/tex]
Replace y by [tex]f^{-1} (x)[/tex], we get,
[tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex]
Hence, The inverse of a function [tex]f(x) = \sqrt{3x + 6}[/tex] is [tex]f^{-1} (x) = \frac{x^{2}-6 }{3}[/tex].
Learn more about the Inverse function visit:
https://brainly.com/question/11735394
#SPJ2
Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches above the vertex and the height of the spotlight is 10 inches, what is the width of the spotlight? Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches above the vertex and the height of the spotlight is 10 inches, what is the width of the spotlight?
Answer:
The width of the spotlight is 20 inches
Step-by-step explanation:
The location of the bulb = 2.5 inches above the vertex
The height of the spotlight = 10 inches
The width of the spotlight =
The
The height of
The equation of a parabola is given as follows;
(x - h)² = 4p(y - k)
Focus, (h, k + p) = (0, 2.5)
y = k - p
k + p = 2.5
Vertex = (h, k) = (0, 0), therefore, k = 0
p = 2.5
We have;
(x - 0)² = 4p(y - 0)
x² = 4×2.5 × y = 10·y
Therefore, given that y = 10, we have;
x² = 10 × 10 = 100
x = √100 = ±10
The coordinates of the two end points are;
(-10, 10), and (10, 10)
Therefore, the width of the spotlight = the distance between the end points
Given that the y-values are the same, we have
Distance = 10 - (-10) = 10 + 10 = 20 inches
∴ The width of the spotlight = 20 inches.
What is 9/2÷3/4?
It has to be 20 things long so....siahdifhifhidhfi
Sorry about that tho...
Answer:
[See Below]
Step-by-step explanation:
[tex]Hey~There![/tex]
____________________
➜ Turn each fraction into a decimal:
[tex]\frac{9}{2} =4.5[/tex][tex]\frac{3}{4} =0.75[/tex]➜ Now divide:
[tex]4.5[/tex] ÷ [tex]0.75=6[/tex]____________________
So based on the work above we can conclude that your answer is:
Fraction Form: [tex]\frac{\bold6}{\bold1}[/tex]Exact Form: [tex]\bold6[/tex]____________________
[tex]Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane[/tex] ヅ
In the following figure (AB) ∥(CD). Suppose that m∠1=32°. What is m∠6? Explain your reasoning
Answer:
148
Step-by-step explanation:
angle 1=3
angle3=7=32 degrees
angle6+angle7= 180
angle 6=180-32
angle 6= 148 degrees
The measure of m<6 is 148.
What are properties of parallel lines?Properties of Parallel Lines
Parallel lines are the set of lines that lie on the same plane but never intersect each other, even if you extend them infinitely.
The pairs of corresponding angles are equal.The pairs of vertically opposite angles are equal.The pairs of alternate interior angles are equal.The pairs of alternate exterior angles are equal.The pair of interior angles on the same side of the transversal is supplementary.Given:
m∠1=32°
Now, using vertical opposite angle
m<1 = m<3 = 32
Now, using same- side interior transversal
m<3 + m<6 = 180
32 + m<6 = 180
m<6 = 180-32
m<6 = 148
Hence, the measure of angle 6 is 148.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ2
An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 30 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 110 students?
Answer:
the teachers would have 24 students per teacher. 10 students per tutor. There would need to be 11 tutors
Step-by-step explanation:
each tutor would have 10 students then if you do 11 times 10 you get 110
I NEED HELP ASAP!!!!
Answer:
bring the 2 1/2 infront of the positive 2 but in between the 2 and three. bring the 3/8 behind the negitive one but on the third smallest line. bring the -7/8 behind the positive 1 but on the 7th smallest line. bring the -2 1/2 between the negitive three and two.
Step-by-step explanation:
What is the runner’s speed?
minutes per mile
Answer:
The runner's speed is "10" minutes per mile
Step-by-step explanation:
EDGE 2020
ZoneZ Faze on YT
Jared is reading a 300-page book he borrowed from the library. So far, he has only read 85 pages. He has 5 more days to read the book until he returns it to the library. How many pages must he read on average per day in order to finish the book before he returns it to the library?
Write an equation that represents the problem. Define any variables.
Solve the equation. Show all work.
Explain what the solution represents.
Answer: 43
Step-by-step explanation: subtract 300 by the amount he has already read. That gives you 215. Divide 215 by the amount of days he has left. That gives you 43.
Answer:
It should take him about 4 days
What does-12x-41=-221
Answer:
-15
Step-by-step explanation:
+41 to -221=180
-12x=180
then divide the -12
-15
Somebody please help!
Answer:
11g
Step-by-step explanation:
150+18x__<__420 check inequality Algebraically
Answer:
3ws45es56ersderts
Step-by-step explanation:
The graph of the line y = 4 is a
A) vertical line with a slope of zero.
B) horizontal line with a slope of zero.
C) vertical line with an undefined slope.
D) horizontal line with an undefined slope.
E) horizontal line with a slope of one.
please answer asap! i’ll mark you brainliest
Answer: y = ⅘x + 48
The x intercept is: -60
The y intercept is: 48
How long will it take Pablo to bike 64 miles if he is biking at a speed of 8 mph?
Answer:
It will take 8 hours to go 64 miles.
Step-by-step explanation:
x / y = z
x = 64 (Miles you need to go.)
y = 8 ( Miles per hour.)
z = How long it will take.
64/8 = z
64/8 = 8
It will take 8 hours to go 64 miles.
Can I please get help with the answer
Answer:
27
Step-by-step explanation:
5e-8+2e-1= 180
7e-9= 180
7e=189
e= 27°
help me Asap The length of the rectangle is 3 less than twice the width. If the area is 9
square ft, the length and width of the rectangle.
Answer:
length-5
width-2
Step-by-step explanation:
[tex]6w - 6 = 9[/tex]
Answer:
its 3 by 3
Step-by-step explanation:
3x2=6
6-3=3
A linear equation has ONE solution when the variable equals zero. Explain if this is a true or false statement and why?
GET BRAINLYY EXPLAIN
Answer: True.
Step-by-step explanation:
The statement is:
"A linear equation has ONE solution when the variable equals zero."
First, a generic linear equation can be written as:
y = a*x + b
Where a and b are known values.
If the variable equals zero, we have:
y = a*0 + b = b
y = b.
Then it has only one solution if x = 0.
So the statement is true, but it is also true for any value in the variable.
So if we rewrite it as (for example):
"A linear equation has one solution when the variable equals 4"
y = a*4 + b.
Because a and b are known, this equation also does have only one solution.
Answer:true
Step-by-step explanation:
John increased the amount of water he drinks everyday from 20 fl oz to 48 fl oz. By what percent did John increased the water he drinks?
Answer:
140%
Step-by-step explanation:
Percentage change in any variable is given by
percentage change = (new value - old value)/ old value * 100
_________________________________________________
Given
Earlier amount of drinking water = 20 fl oz
New amount of drinking water = 48 fl oz
Percentage increase in drinking of water = (48-20)/20 * 100 = 28/20 * 100
Percentage increase in drinking of water = 28*5 = 140 %
Thus, there is 140% percentage increase in water by John.
A bowl weighs 11/40
lb. Express this as a decimal.
Answer:
Decimal: 0.275 Percentage: 27.5
Step-by-step explanation:
А ___is just another way of saying what we want to count
by on our graph.
Answer:
An axis
Step-by-step explanation:
They give information about the states
What is 9/8 as a decimal
Answer: 1.125
Step-by-step explanation: Hopefully this helps!
Need help due today!!!!
Answer:
sorry bout my handwriting but yea :)
Step-by-step explanation:
Answer:
oi k
Step-by-step explanation:
PLEASE ANSWER THIS ASAPPPPPP
Answer:
That is very difficult
Step-by-step explanation:
I hope you got help
RSTis congruent to RUT. If angle S is (5x-11) degrees and angle U is (4x+9)
degrees, find the value of x.
Answer:The answer is x=20
Step-by-step explanation:
HELPP PLEASEEE ??????
Answer:
NM
MQ
<PMQ
<QMP
M
Step-by-step explanation:
I am sorry there is really no way to explain this other than to look at the picture
A perfect score on a test with 25 questions is 100. Each question is worth the same number of points
Fred got a score of 92 on the test Enter a division sentence using negative numbers where the quotient
represents the number of questions Fred answered incorrectly on the test
Answer:
8
Step-by-step explanation:
its 8 because if you do the math correctly witch would be b×h×92-48÷7
How do I solve a problem like this?
I solved it like: 3x-10+2x+20=45 and got x=9 but I was wrong. Can you help me understand what I did wrong? Thank you!
HELP- on a map of North Carolina, Raleigh and Asheville are about 8 inches apart. if the scale is 1 inches = 12 miles, how far apart are the cities? write a proportion and solve
Answer:
96
Step-by-step explanation:
12x8
I’ll mark brainliest!
Help please :)
Answer:
i think it is b ... not sure
Step-by-step explanation:
F= z-g/n
solve for z
x/10.7 =7
try finding the value of x.
the answer is not 1.52857142857
Answer:74.9
Step-by-step explanation: