Answer:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Step-by-step explanation:
We are given that
[tex]r(x)=\frac{11}{(x-4)^2}[/tex]
We have to find the domain of restriction on r(x) and corresponding inverse function.
Let
[tex]y=r(x)=\frac{11}{(x-4)^2}[/tex]
[tex](x-4)^2=\frac{11}{y}[/tex]
[tex]x-4=\sqrt{\frac{11}{y}}[/tex]
[tex]x=\sqrt{\frac{11}{y}}+4[/tex]
[tex]r^{-1}(y)=\sqrt{\frac{11}{y}}+4[/tex]
Now, replace x by y and y by x then, we get
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
The function is not defined at x=4
But,
The inverse function defines for all positive real values.
Therefore, domain of r(x)=x>4 and inverse function
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
Option:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
b
Elena rode her bike 2 miles in 10 minutes. she rode it at a constant speed.
1. how many minutes did it take elena to go ONE mile?
2. how many minutes did it take for elena to travel 24 miles?
Answer:
1 5 minutes
Step-by-step explanation:
2 120 minutes
A student must have an average (the mean) on five tests that is greater than or equal to 80% but less than 90% to receive a final grade of B. Devon's grades on the first four tests were 77%, 63%, 90%, and 78%. What range of grades on the fifth test would give him a B in the course? (Assume that 100% is the highest grade possible.)
Answer:
92%-100% for B
Step-by-step explanation:
Answer: 92%-100% for B
Step-by-step explanation:
need to solve for x
4x - 2 = 2x + 1
! Angle Measurement of Polygons !
~Help my brainless self-~
Answer:
b) 123
Step-by-step explanation:
The product of 4 , and a number increased by 7 , is -36.
Answer:
your awnser should be. 4(x + 7 ) = -36
heyeyeyey yall! How are yall?
Answer:
im good hbu
Step-by-step explanation:
Answer:
im good :)
Step-by-step explanation:
Find the slope of the line on the graph below
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
The slope is [tex]\frac{6}{5}[/tex] because rise/run. You rise up on the graph 6 units, and run 5 units to the right (if the graph went to the left), then your slope would be negative.
Another way to double check this is using the slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
(-3, -3) is x1, y1. & (2, 3) is x2, y2.
So, plugging that into the formula, we get:
[tex]\frac{3-(-3)}{2-(-3)}[/tex] = [tex]\frac{6}{5}[/tex].
Hope that this helped. Have a good day! ☺
*Refresh page, if you cannot see the answer. If it still does not work, the answer is 6/5*
Simplify 8(x - 4)
8x - 4
8x - 32
x - 32
x - 4
Answer:
8x-32
Step-by-step explanation:
multiply 8 with both terms
please mark this answer as brainlist
A rectangle has a perimeter of 46 inches. The length of the rectangle is 7 inches. What is the rectangle width?
Answer:
W=16
Step-by-step explanation:
46=2(L+W)
46=2(7)+2(W)
46-14=2W
32/2=2W/2
W=16
A rectangular prism and its dimensions are shown in the diagram.
1
6.5 in.
3.2 in.
8.2 in.
Answer:
148.2
Step-by-step explanation:
LA= PH
P= 8.2+8.2+3.2+3.2=22.8 in
H= 6.5 in
PH= 22.8(6.5)= 148.2 in
Use the bar graph to answer the question.
What was the third most favorite communication method chosen?
Question 2 options:
A.cell phone call
B.e-mail
C.instant message
D.cell phone text
Answer:
A
Step-by-step explanation:
the graph shows It's the 3rd tallest
help me with this pls
Answer:
I'm not sure I'm too lazy to do it lol
Step-by-step explanation:
A scuba diver dives 243 feet into the ocean and then swims up 156
feet. What integer represents her final position relative to where
she started?
Answer:
Her final position would stop at -87.
Step-by-step explanation:
As she dove 243 feet into the ocean, that means she went down. Therefore she's currently at -243, however she swam up 156 feet ending her up at -87. If that was kinda complicated, then use -243+156 and you'll get -87.
Find the lateral surface area of the tissue
box.
4 in
7 in.
5 in.
Answer:
should be 48. hope that helps
This question is 15 points and please help me! Each answer is different. Please put it in order and don't scam this is my last points thanks so much!
Answer:
What are all the opions
Step-by-step explanation:
Also I think its
1. communtive, asscotive
2. Disvision Property
3. to the left side ( I think)
Hope this helps and sorry about your points ;-;
Three years ago, claire borrowed money from her father to pay for a class trip. She agreed to pay him 6% simple annual interest on the loan. Now she owes him 90$ in interest, plus the principal amount. How much did Clare borrow? The answer is 500, but how did you get that answer correctly? Step by step can u show me?
Answer:
Below
Step-by-step explanation:
6% simple annual interest on the loan for 3 years so 6x3=18
So the interest of the whole amount is 18%, so now you got to find what of 18% is 90
This looks like (initial amount)x(number)%=(final amount)
x=initial amount
number%=18
final amount=90
All percentages are just number%/100. So we have either 18/100, or .18 depending on how you want to work it.
So now we do 90÷0.18 which gives you the answer 500
2(4x+1)<3(2x-3) solve the inequality
Answer:
x < - 11/2
Step-by-step explanation:
8x + 2 < 6x - 9
8x + 2 - 6x < -9
2x + 2 < -9
2x < - 9 - 2
2x < - 11
x < - 11/2
which expression below me is equivalent to -3x+5(x+2)?
A.2x+2
B.-x+2
C.2x+10
D.-8x+10
Answer:
C)
Step-by-step explanation:
First use distributive property: a(b +c) =a*b +a*c
-3x + 5(x +2) = -3x + 5*x +5*2
= -3x + 5x + 10 {Combine like terms}
= 2x + 10
(-3x) and 5x are like terms
UGENT! Please help due in 10 minutes :c I tried but I just..never got it..
Answer:
#19:the rule is every-time use the number and times it by 80%
#20:using a calculator, i got 16. i think it is wrong, but that is what i got.
‼️‼️Pls Help this is due soon and I will give brainliest to first answer‼️‼️
Which problem will graph as shown
A) -17 < 3 - 5x
B) 17 > 3 - 5x
C) 17 ≥ 3 - 5x
D) 17 ≤ 3 - 5x
Answer:
The answer is A!
What is the measure of angle R?
Answer:
65
Step-by-step explanation:
The inside of a triangle is 180 degrees and the other two angles are the same so 50+65+65 =180. The answer is 65
A small black cloth bag holds two red counters, two green counters, two
blue counters, and two black counters. All are the same size. Without
looking into the bag, what is the probability of drawing a red counter then
a black counter from the bag without replacement? *
Answer:
1/14
Step-by-step explanation:
P(red, then black) = [tex]\frac{2}{8}[/tex] · [tex]\frac{2}{7}[/tex] = [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex] (simplifed form)
(Please help!!)
The length (l) of a tet angular box is 5 centimeters more than twice its width (w).
Write an equation to represent the length of the rectangular box.
anybody knows what to do ...
Answer:
put them in goo gle they are chemicals they shoulf bting up a picture
Step-by-step explanation:
pls help me this was due a long time ago. (will mark) ❤️
Answer:
between 2009 and 2012
Step-by-step explanation:
(2009-2012): 604-258= 346
(2008-2011): 457-435= 22
find the value of each expression for n = 2.
Answer:
1. 22
2. 22
3. 28
Step-by-step explanation:
Substitue the n in each expression with two, then solve the problem for the value
PLS HELP ASAP
6x - 8 = 40 pls evaluate
Answer:
X = 8
Step-by-step explanation:
6 x 8 = 48 - 8 = 40 so 8 is your answer
PLZ HELP ME ASAP PLZ
Answer:
14
Step-by-step explanation:
5×2²-2-4
5×4-2-4
20-2-4
18-4
14
Answer:
Rewrite the absolute value equation as four equations without absolute value bars.
5z−2=z+65−2=−(z+6)−(5z-2)=z+6−(5z−2)=−(z+6)
After simplifying, there are only two unique equations to be solved.
5z−2=z+65z−2=−(z+6)
Solve
5z−2=z+6 for z.
Tap for more steps...
z=2
Solve
5z−2=−(z+6)for z.
Tap for more steps...
z=−23
List all of the solutions.
z=2,−23
The result can be shown in multiple forms.
Exact Form:
z=2,−23
Decimal Form:
z=2,−0.6
Step-by-step explanation:
it is 0.6
Which one is longer?
Aslinky that is 26 inches long
Bslinky that is 2 feet long
C they are equal
Answer: A.
Step-by-step explanation:
Slinky A is 26 inches there are 24 inches in two feet so slinky B isn’t longer. Then they are obviously not equal because we figured out they have different lengths
Enter the number that makes the equation true
Answer:
80
Step-by-step explanation:
First of all, before you do anything to compute the answer, you can see that there is (–13/100) on both sides of the equation. You can cancel them out, since they're the same thing.
Now, you're left with:
[tex]0.8 = \frac{}{100}[/tex]
This is also read as 0.8 is the same thing as [how many] hundredths.
You should know that 0.8 = eight tenths.
So if you move the decimal point right once, you'll get:
0.80
Which is also eighty hundredths.
Your answer would be:
[tex]0.8 = \frac{80}{100}[/tex]
which is 80.
To check your answer, you can also do:
80/100
Because the fraction bar can also be read as "divided by."
You will get 0.8.