Answer: Choice C
Domain: x < -2
Range: y > 1
=================================
Explanation:
When going from the original function [tex]f(x)[/tex] to its corresponding inverse [tex]f^{-1}(x)[/tex], or vice versa, the roles of x and y swap places. The inverse undoes whatever the original function does.
This swap means that the domain and range also swap as well. The original domain x > 1 becomes the range y > 1 for the inverse. The range y < -2 in the original becomes x < -2 which is the domain of the inverse.
The domain and range of the inverse functions are:
domain: x < - 2range: y > 1.What are the domain and range of the inverse function?We know that two functions are inverses if:
f( g(x)) = x
g( f(x)) = x
So, the domain of f(x) is the range of g(x), and the range of f(x) is the domain of g(x).
Then the domain and range of the inverse function are:
domain: x < - 2range: y > 1.If you want to learn more about domain and range:
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1. find the area of a semi circle of diameter 14cm
2.find the area of a circle of radius 1cm
3.find the areaof a circular lawn whose diameter is 10cm
#1
d=14cmr=14/2=7cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(7)^2[/tex]
[tex]\\ \sf\longmapsto Area\approx 154cm^2[/tex]
#2
r=1cm[tex]\\ \sf\longmapsto Area=\pi r^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(1)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14cm^2[/tex]
#3
d=10cmr=5cm[tex]\\ \sf\longmapsto Area=3.14(5)^2[/tex]
[tex]\\ \sf\longmapsto Area=3.14(25)[/tex]
[tex]\\ \sf\longmapsto Area=78.5cm^2[/tex]
Answer:
1. Diameter of a semicircles =14cm
Radius or semicircle =7cm
*Area if circle =pi radius 2
=22/7 × 7×7cm 2
=154cm 2
But semicircle is half if a circle so,
Area of a semicircle =1/2 ×154cm2
=77cm2
2. Radius of the circle =1cm
Area of the circle=pi radius 2
=3.14×1×1
=3.14cm2
3.Diameter of a circular lawn=10m
Radius of the circular lawn =5m
Area of the circular lawn =pi radius2
=3.14×5m×5m
=78.5m2
Hope this helps:)is the product of two irrational numbers always gonna be irrational
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
a group of 5 nurses comtain 3 women and 2 men. a second nurse is chosen at random form the four remaining nurses. given that the first nurse was a woman, what is the probability that the second nurse is also a woman
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
PLS HURRY, LOTS OF POINTS
If point N is the centroid of HIJ, IM = 18, KN = 4, and HL = 15, find NM.
Answers:
12, 6, 8, or 2
The centroid of a triangle divides the triangle in 1/3 and 2/3.
The length of NM is 6 units
The given parameters are:
IM = 18
KN = 4
HL = 15
The centroid of the triangle divides line IM to NM and NI, where NM < NI
So, we have:
[tex]\mathbf{NM = \frac 13 \times IM}[/tex]
This gives
[tex]\mathbf{NM = \frac 13 \times 18}[/tex]
Expand
[tex]\mathbf{NM = 6}[/tex]
Hence, the length of NM is 6 units
Read more about centroids at:
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In AHIJ, the measure of ZJ=90°, the measure of ZI=62°, and IJ = 57 feet. Find the
length of JH to the nearest tenth of a foot.
Answer:
[tex]x = 107.2[/tex]
Step-by-step explanation:
[tex]57 = ih \cos(62) \\ ih = \frac{57}{ \cos(62) } \\ \\ x = ih \sin(62) \\ x = \frac{57}{ \cos(62) } \times \sin(62) \\ x = 107.2[/tex]
Answer:
Step-by-step explanation:
The graph had prove the adjacent length of angle ZI, which is 57. And asks the opposite side of angle ZI, we use tan. to solve for x.
tan (62) = opposite side / adjacent side
tan (62) = x / 57
tan (62) x 57 = x
x = 107.2
PLS HELP!!! WILL GIVE BRAINLIEST AND 5 STARS
Answer:
she had to sy difference of 35 and 16
sum of 10 and 9
sum of 14 and 2
Step-by-step explanation:
Whoever can answer A and B first gets brainliest, 5 stars, and a thanks.
(Please list them A to B, thx!)
kiki forgot to add the 0 in the second number in the adding part, and 2 times 8 = 16 not 19
Answer:
Here is the answer for A and B
Step-by-step explanation:
A: Kiki's mistake was not adding zero in the second set of multiplying.
1 1
2 4 4
B: 1,498
x 25
------------------
7 , 4 9 0
2 9 , 9 6 0 add your zero that was kiki mistake. she did not add the zero
The Answer is: 37,450
When doing curls, John is careful to extend through the full range of motion and quickly lock his elbows to make sure that he does not drop the weight. This is an example of __________. A. A good technique because he moves quickly B. A bad technique because he moves through the range of motion C. A good technique because he is paying attention to form D. A bad technique because he quickly locks a joint Please select the best answer from the choices provided. A B C D.
Answer:
d
Step-by-step explanation:
Answer: D. A bad technique because he quickly locks a joint!
Step-by-step explanation: On Edge!
help pls ill give you brainliest :))
Answer:
D) 14.2
Step-by-step explanation:
HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
Write the equation in point-slope form of the line that passes through the given point with the given slope.
m= -1
The equation of the line is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
Answer:
[tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Slope m = -1
Point [tex]\displaystyle (-\frac{1}{5} ,\ 5)[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - 5 = -(x - -\frac{1}{5})[/tex][Order of Operations] Simplify: [tex]\displaystyle y - 5 = -(x + \frac{1}{5})[/tex]Compare the properties of each exponential function over the interval(0,4)
Answer:
sdgsehseh
Step-by-step explanation:
sehsdhsehsdhs
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
4 less than the product of 2 and a number equals 5 is written how in an equation?.
Answer:
2+x-4=5
Step-by-step explanation:
Answer:
2+x-4=5
Step-by-step explanation
:) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
1. Jamie bought 4 pounds of sugar for $2.56. What is the cost of sugar per pound?
a) $0.64 per pound
b) $1.64 per pound
c) $1.50 per pound
d) $0.75 per pound
Answer:
Answer:It is A
Step-by-step explanation: 2.56÷4
Hope that helps!!
What is the average rate of change of the function from x=1 to x=3?
Answer:
3
Step-by-step explanation:
A bicycle rental company charges a $12 fee plus $3 per hour. Which equation represents this linear relationship
Answer:
y =3x + 12
Step-by-step explanation:
Put these in order starting with the smallest.
Answer:
Step-by-step explanation:
[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27
[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3
[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25
[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]
Answer:
[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
Step-by-step explanation:
[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]
You invest $10,000 into two accounts. One account earns 5% annually and the other earns 8% annually. If the total interest earned from both accounts in a year is $590, how much is invested in each account?
Answer:
$7,000 in the 5% account
$3,000 in the 8% account
Step-by-step explanation:
Let x be the amount invested at 5% the remainer is at 8%
.05x + .08(10000 - x) = 590
Distribute
.05x + 800 - .08x = 590
Combine like terms
-.03x = -210
Divide both sides by-.03
x = 7000 in the 5% account
1000 - x = 3000 in the 8% account
What is the solution to this equation?
3(a - 4) + 1 = 9 - a
O a = 3
a = 5
O a = 6
O a = 10
Answer:
B. a = 5
Step-by-step explanation:
3(a - 4) + 1 = 9 - a
Distribute the 3 into the parenthesis.
3a - 12 + 1 = 9 - a
Add -12 and 1.
3a - 11 = 9 - a
Add a to both sides.
4a - 11 = 9
Add 11 to both sides.
4a = 20
Divide both sides by 4.
a = 5.
Proof:
3(a - 4) + 1 = 9 - a
Substitute variable.
3(5 - 4) + 1 = 9 - 5
Subtract inside parenthesis.
3(1) + 1 = 9 - 5
Multiply 3 and 1.
3 + 1 = 9 - 5
Add 3 and 1.
4 = 9 - 5
Subtract 5 from 9.
4 = 4.
Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole.
Relative to ground level, what is the elevation of the hole after placing the bush in the hole?
Enter your answer as a simplified mixed number in the box.
Answer: IMA LET YOU KNOW THIS THAT ITS ACTUALY -3 8/10
Step-by-step explanation:
________|45 ÷ 15=3|__________________________|5/6 AND 3/4: 5 + 3= 8, 6 + 4= 10|If Parin digs a hole at a rate of 5/6 feet every 15 minutes. After digging for 45 minutes, Parin places a bush in the hole that fills exactly 3/4 feet of the hole. Then the elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Parin digs a hole at a rate of 5/6 feet every 15 minutes.
In 45 minutes, Parin digs a hole of 5/6×45/15
5/6×3
5/2
The total depth of the digging = 5/2
Now, 3/4 feet dig is filled by bush, so the remaining elevation of the depth, = 5/2- 3/4
five by two minus three by four.
5/2-3/4
Take LCM of 2 and 4
(10-3)/4
7/4
the elevation of the hole after placing the bush in the hole is 7/4.
Now we can write in mixed fraction [tex]1\frac{3}{4}[/tex]
Hence elevation of the hole after placing the bush in the hole is [tex]1\frac{3}{4}[/tex]
To learn more on Equation:
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PLEASE HELP ME
WILL MARK BRAINLIEST
Answer:
Line AB is a chord.
Line AB is the tangent line.
Step-by-step explanation:
Line AB chord.
Why do the graphs of basic exponential functions all have the point (0,1) in common?
Explain your answer using a few complete sentences.
Answer:
b/c any real number to the power of zero is one
Step-by-step explanation:
let a be any real number then
a^0=1
A new health drink has 120% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20mg. How many milligrams of the vitamin are in the drink?
PLS HELP!! The question is in the photo!! I’m being timed pls hurry!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS!!!
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Step-by-step explanation:
Step 2 : Subtraction property of equality
Step 3: simplification
Step 4 : Subtraction property of equality
Step 5: Simplification
Step 6: Multiplication property of equality.
Step 7 : simplification
Raj had 1/2 gallon of orange juice. He used 8/9 of the juice to make punch. Raj used this expression to find the amount of juice he used to make punch. 1/2 x 8/9
how much orange juice did Raj use to make punch? the fraction need to be in the simplest form.
Answer:
4/9
Hope i helped
What is 926 - 628 estimated using compatible numbers
Answer:
298
Step-by-step explanation:
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
