Answer:
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
Step-by-step explanation:
[tex]f(x)=x^2-16[/tex]
To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.
[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]
Now, you can swap the variables again and write the function.
[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]
can somebody help me/tell me how to do these?
Hi! I'll try to help
It gives you two equations, one for "x" and one for "y"
All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.
y=4x
3x-y=1
Since we know that "y" is the same as 4x, you can rewrite the equation as
3x-4x=1
Next, all you have to do is combine like terms as solve "3x-4x" which is -x
Let's rewrite the equation, then:
-x=1
You can simplify it to
x=-1
by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive
Write an equation of the line that passes through (-1,3) and is parallel to the line y = -3x + 2.
Answer:
y = - 3x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 2 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, 3 ) into the partial equation
3 = 3 + c ⇒ c = 3 - 3 = 0
y = - 3x ← equation of parallel line
Answer:
y = -3x
Step-by-step explanation:
find the measure of each variable
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
5/6 x 9/5...............................................................help asap
Step-by-step explanation:
5/6 ×9/5
Multiply the denominators and the numerators separately; that is:
5×9 and 6×5
45 and 30
=45/30
=3/2(simplified)
Answer:
1.5
Step-by-step explanation:
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answer:
k=-6-6=-12
Im pretty sure that's the answer
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answer:
Five Gallons Of Water
Step-by-step explanation:
If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it
if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?
Answer:
Step-by-step explanation:
How to Estimate Aquarium Water Volume
You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.
You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.
Tank Volume Formulas
See the volume formulas for various aquarium fish tank styles below.
Rectangular Tank Formula
tank volume = l × w × h
l = tank length
w = tank width
h = tank height
Anyone able to help
Just question 6 please
Answer:
C)
Step-by-step explanation:
Have a great day
Which is the graph of y = [x]-2?
Answer:
Step-by-step explanation:
number 1
factorise this (x-6)(x+2)
Answer:
Its already in factored form.
Step-by-step explanation:
Answer:
x^2 - 4x - 12
Step-by-step explanation:
Using FOIL (first, outside, inside, last), multiply each term in the order:
you should get ---> x^2 + 2x - 6x - 12
now, add like terms
you should get ---> x^2 - 4x - 12
how does 9 + 9 = 6 ?
Answer:
it does not, it equals 18
Step-by-step explanation:
9+9=18 - true
9+9=6 - false
What temperature does the thermometer show?
Answer:
-2°C is the answer
Step-by-step explanation:
Hope this helps:)
[tex](\sqrt[3]{5})^{2}[/tex]
Answer:
[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]
Step-by-step explanation:
[tex](\sqrt[3]{5})^2[/tex]
[tex](5^{\frac{1}{3}})^2[/tex]
[tex]5^{\frac{1}{3}*2}[/tex]
[tex]5^\frac{2}{3}[/tex]
Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]
9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `
What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?
Answer:
center: (-5,6)
Radius: 7
Step-by-step explanation:
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
please help me im only looking for real answers
if you put a link to an inappropriate site i WILL report it
Answer: y=3/2x
Step-by-step explanation:
First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.
An equation in slope intercept form is as follows:
y=mx+b
To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.
We can use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope, m.
[tex]\frac{3-6}{2-4}[/tex] = [tex]\frac{3}{2}[/tex]
Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.
PLEASE HELP ASAP!!
Complete this item.
For the following figure, can you conclude that l || m? Select true or false.
Answer:
true
Step-by-step explanation:
Line l and line m are parallel to each other which means the statement is true.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The statement is True !
In the given figure, the two lines are parallel to one another ~ because pair of corresponding angles are equal.
Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest
Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Step-by-step explanation:
when finding the percentage of a number, multiply the number by the percentage's decimal form.
here's an example: 20% of 300
20% is 20/100 which is 0.20
now we just multiply
0.20×300=60
now for 32% of 150
32%--->32/100---->0.32
0.32×150=48
there you go! hope that helped
11/19% of a quantity is equal to what fraction of the quantity?
Answer:
57/10,000
Step-by-step explanation:
9/11% = 0.57% = 0.0057
57/10,000
Find the value of x
please helppppp!!!!
Answer:
x = 3
Step-by-step explanation:
The two marked angles form a linear pair, so are supplementary. Their sum is 180°.
(3x +136)° +(5x +20)° = 180°
8x +156 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 24 . . . . . . . . . . . . . . subtract 156
x = 3 . . . . . . . . . . . . . . divide by 8
_____
Additional comment
We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).
A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.
B no ........................
truncate 4087.2 to the tens
Answer:
4080
Step-by-step explanation:
When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...
4080
_____
When a number is truncated, there is no rounding.
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
On her multiple choice math test, 1720 of Lydia's answers are correct. What is the ratio of correct to incorrect answers for Lydia on her test?
Answer: [tex]\frac{17}3}[/tex] or 17:3
Step-by-step explanation:
Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:
[tex]\frac{17}3}[/tex] or 17:3
Since this ratio is already in simplest terms, this is the final answer.
4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.
Answer:
2000 families read the newspaper in the Nepali language.
1800 families read it in the English language.
3800 families read the newspaper in both.
Step-by-step explanation:
#1. individual
convert % to decimal ( x ÷ 100 )
0.5 x 4000 = 2000
0.45 x 4000 = 1800
#2. together
2000 + 1800 = 3800
OR
50 + 45 = 95
95 ÷ 100 = 0.95
0.95 x 4000 = 3800
If 3
persons can weave 168 shawls in 14 days, how many shawls will be
woven by 8 persons days?
Answer:Given that 3 persons can weave 168 shawls in 14 days. Then, Shawls are woven in 1 day by the 3 men = 168/14 = 12. Shawls are woven in 1 day ...
Step-by-step explanation:
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Answer:
Y=X/3+3
Step-by-step explanation:
M= Y2-Y1/X2-X1
= 5-6/6-9
= -1/-3
= 1/3
sub x=6, y=5, M=1/3 into Y=MX+C
5=6/3+C
5=2+C
5-2= 2+C-2
3=C
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
The answer would be -8 1/6.