Answers
Answer:
a) Yes
b) for reference, draw the line y = x, and reflect it over that, this reflection will be your inverse. Or switch the x and y values of each point of the function.
Here is a photo of the original function in black, it's inverse in red, and the line of reflection y = x in blue:
c) No, because it fails the vertical line test, when you draw a vertical line across the inverse function, it hits it more than once.
d) Domain of the original function: -6 ≤ x ≤ 6 ; x(the domain) is greater than or equal to -6 and less than or equal to 6.
e) Domain of inverse function: 0 ≤ x ≤ 4 ; x(the domain) is greater than or equal to 0 and less than or equal to 4.
f) Range of the original function: 0 ≤ y ≤ 4 ; y(the range) is greater than or equal to 0 and less than or equal to 4.
e2) Range of the inverse function: -6 ≤ y ≤ 6 ; y(the range) is greater than or equal to -6 and less than or equal to 6.
f2) x-intercept of original function: -6
g) y-intercept of the inverse function: -6
h) x-intercept of the inverse function: 4
i) y-intercept of the original function: 4
j) (2,2) or any point where the x, and y are the same within the function, or the point where the function intersects y = x.
Related Questions
Find the slope of the line that goes through the points (9,-13) and (7,3).
Answers
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
(3 - (-13) ) / ( 7 - 9) = (3 +13) / -2 = 16/-2 = - 16/2 = -8
slope is -8
Answer:
-8
Step-by-step explanation:
The slope formula is as follows:
m = y2 - y1 / x2 - x2
You would first plug in the points into the formula, and this is what you would get:
m = 3 - (-13) / 7 - 9
From there, because of additive inverse, the negative signs would become + signs.
m = 3 + 13 / 7 - 9
You would now add/subtract.
m = 16 / -2
And lastly, you would simplify.
m = 8/-1
8/-1 is the same thing as a slope of -8.
Maurice can pack 100 cans in 20 minutes Is this a faster or slower rate than packing 160 cans in 40 minutes?
Answers
Answer:
Slower
Step-by-step explanation:
If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes
Please answer this, I’m a bit confused...
Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the diagonal distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance, and how much longer did he run?
Answers
Answer: The distance across a rectangular field is longer distance.
So, Perimeter of rectangle would be 120 yards.
Diagonal of square would be 56.56 yards.
Calcula x para que sean ciertas las igualdades siguientes:
a. 3x = 243
b. 53 = x
c. x 2 = 64
d. 2x = 128
e. 9x = 729
f. 10x =10.000
Ayuda
Answers
b. no entiendo la pregunta
c. 32
d. 64
e. 81
f. 1000
Write 178/48
as a percent.
Answers
Answer:
370.83%
Step-by-step explanation:
Divide them, and then multiply by a hundred.
I need help. I don’t understand it. Thanks!
Answers
Answer:
Yessss
Step-by-step explanation:
7(x + 4) = -21 what is x in this problem?
Answers
Sorry I can’t explain it! My device is really slow right now!
Answer:
-7
Step-by-step explanation:
7x+28=-21
7x=-49
x=-7
Write the equation 2x - 3y= 6 in slope-intercept form.
y=2/3 x+3
y=2/3 x-2
Y=3/2 x+3
Answers
Divide all numbers by -3
y=2/3x-2
Two negatives divided by each other makes a positive!
A rectangle has a perimeter of 100 inches, and
one side has length x. Express the area of the
rectangle as a function of x.
Use the function in part a to find the dimensions of the rectangle with permitter 100 inches and the largest possible area
Answers
Answer:
a. A = 50x - x² b. length = 25 inches and width = 25 inches and the maximum area is 625 in²
Step-by-step explanation:
a. The perimeter of a rectangle P = 2(L + W) where L = length and W = width. Now, given that P = 100 inches and W = x, substituting these into the equation, we have
P = 2(L + W)
100 = 2(L + x)
dividing both sides by 2, we have
100/2 = L + x
50 = L + x
making L subject of the formula, we have
L = 50 - x
Now, the are of a rectangle A = LW. Substituting the values of L and W, we have
A = LW
A = (50 - x)x
A = 50x - x²
b. To find the largest possible area of rectangle with perimeter 100 inches, we differentiate A and equate it to zero to find the value of x that maximizes A.
So, dA/dx = d(50x - x²)/dx
dA/dx = d50x/dx - dx²/dx
dA/dx = 50 - 2x
dA/dx = 0 ⇒ 50 - 2x = 0
50 = 2x
dividing both sides by 2, we have
x = 50/2
x = 25
To find it this gives maximum value for A, we differentiate A twice.
d²A/dx² = d(50 - 2x)/dx
d²A/dx² = d50/dx - d2x/dx
d²A/dx² = -2
Since d²A/dx² = -2 < 0, so x = 25 gives maximum value for the area, A.
Since W = x = 25 in and L = 50 - x. So, L = 50 - 25 = 25 in
So, the maximum area A = LW = Lx = 25 in × 25 in = 625 in²
The dimension with perimeter 100 inches that give maximum area are length = 25 inches and width = 25 inches and the maximum area is 625 in²
Write an algebraic equation that models the following statement.
Twice the sum of 'x' and '4' is six less than the quotient of 'q' and '9'.
Answers
The slash represents a division sign.
What is the value of x in the triangle?
Answers
Answer:
Step-by-step explanation:
Q
Answer:
B
Step-by-step explanation:
Since there are 2 congruent angles then the triangle is right isosceles.
The 2 legs of the triangle are therefore congruent ( both x )
Use Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + x² = (3[tex]\sqrt{2}[/tex] )² , then
2x² = 18 ( divide both sides by 2 )
x² = 9 ( take the square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3 → B
Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the coordinates of L are (-5,1)
Answers
Answer: y=-2x-9
Step-by-step explanation:
If ANGL is a square, then NG and LG are adjacent sides.
Adjacent sides are perpendicular. [Each angle is 90°]
The equation of line NG is [tex]Y=\dfrac12 X-6[/tex].
By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)
slope =[tex]\dfrac12[/tex]
Let slope of LG be n, then
[tex]n\times \dfrac{1}{2}=-1[/tex] [Product of slopes of two perpendicular line =-1]
[tex]\Rightarrow n=-2[/tex]
Equation of a line passes through (a,b) and have slope m is given by :-
[tex](y-b)=m(x-a)[/tex]
Equation of LG :
[tex](y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9[/tex] [In intercept form]
How do i find lines AC, BD, and EC?
Answers
Answer:
All equal 11
AC=11
BD=11
EC=11
Step-by-step explanation:
The shape is a square and all sides of a square have the same length. The marks ‘II’ means that they are all parallel.
Solve for
9
19
17
None of the above
Other:
Answers
Answer:
none of the above,
Step-by-step explanation:
The answer would be seven because the angle they're looking for is complementary, meaning that the angles would have to equal 90 degrees.
1. add up angles given
2. subtract what you get from that by 90
Hello I am to lazy I am also really bored so waz up
Answers
First, we would need to create an equation for this problem. Let x represent the unknown number of hours.
4(6 + x) = 48
Next, you would simplify the equation.
24 + 4x = 48
Now, you would combine like terms.
4x = 24
Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.
x = 6
I hope this helps!
Answers x=6
Step-by-step explanation:
Symplify the expession 71 2/3% helppp
Answers
Answer:
0.71(6)
Step-by-step explanation:
the ending of "6" is forever.
Apply the distributive property to create an equivalent expression.
(6m -7) x 4 can someone pls answer fastt.
Answers
Answer:
24m-28
Step-by-step explanation:
We have to multiply each term inside the parenthesis by 4, so we get the result
Solve and Graph the System of Linear Equations
1) 3 X + 2 Y = 4
X + 2 Y = -4
Answers
Answer:
y=-4
x=-12
Step-by-step explanation:
Set up the system
Then you have to cancel out a variable
Then you solve for the remaining variable
Then plug in to find other variable
I'm sorry if that's confusing:/
Larry shaded this area model to show an expression.
A model with 6 rows of 5 orange squares and 6 rows of 7 blue squares.
Which expressions did Larry model?
Check all that apply.
5(7)
30 + 42
6 + (5)(7)
6(5 + 7)
(6)(5) + (6)(7)
Answers
Answer:
The answers are B,D,E
Step-by-step explanation:
Answer:
bde
Step-by-step explanation:
How do you figure this out? I am having a hard time. The variables x and y are related to proportionally. When x = 8, y = 20. Find y when x = 80.
When x = 80, y
Answers
Answer:
200
Step-by-step explanation:
(80×20)/8
y is equal to 200
Suppose you deposited $400 in a savings account 3 years ago. The simple interest rate is 3.3%. The
interest that you earned in those 3 years is $39.60. Which of the following is/are true?
1 = 3
r=3.3%
p = 400
t = 39.60
Help me please
Answers
Answer:
Step-by-step explanation:
Given parameters:
Principal = $400
Time = 3years
Interest rate = 3.3%
Interest = $39.60
Now let us verify;
I = interest
r = rate
p = principal
t = time
i = 3 incorrect, interest is $39.60
r=3.3% Correct, rate is 3.3%
p = 400 Correct, principal is 400
t = 39.60 Incorrect, time is 3years
What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8What is the product of (–0.5)(–1.2)(–5.22)? –9.8 –3.132 3.132 9.8
Answers
Answer:
Step-by-step explanation:
1. (–0.5)(–1.2)(–5.22)= -3.132
Answer:
B
Step-by-step explanation:
(25)2×100÷23+[24÷(13−5)]
Answers
Answer:
100*100/23+(24/8)
100*100/23+3
100*4.37+3
43.7+3
46.7
Step-by-step explanation:
Riding an elevator down 3 floors
Answers
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
Sam wrote on the board counting numbers from 12 to 111:12, 13, 14, ..., 110, 111. How many digits did Sam write?
Answers
Answer: Sam wrote 99 digits
Step-by-step explanation: Take the highest number minus the lowest number and that his how many numbers are between 12 and 111.
can u help me solve 8-3(7-4y) i know the answer i just need to kown how i got the answer
Answers
8 - (3x7 - 3x4y) You need to develop between parentheses bcs there is a minus between 8 and 3.
8 - (21 - 12y)
8 - 21 + 12y /!\ A minus before parentheses changes the sign in the parentheses !
12y - 13
solve the system by substitution -x+3y=15
y=2x
Answers
Answer:
(3,6)
Step-by-step explanation:
Can someone help me please
Answers
2. 57.142858%
3. 83.333333333333%
A pizza place charges a flat fee for each pizza and a delivery fee. One customer buys 3 pizzas and pays $41. Another pays $29 for two pizzas.
Write a linear function for this situation (use p for the number of pizzas).
Answers
Answer:
Step-by-step explanation:
p=12x+5
the area of rectangle is x^2-3x+2. Find a possible length and width of the rectangle.
Answers
Answer:
x - 2 and x - 1 can be possible length and width of the rectangle.
Step-by-step explanation:
Area = x² - 3x + 2
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
To find possible length and width we can factorize the above expression.
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x² - 3x + 2 ( 2 = -1 × -2 )
x² - x - 2x + 2 ( 3 = -1 + -2 )
x(x - 1) + -2(x - 1)
(x - 2) (x - 1)
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x - 2 and x - 1 can be possible length and width of the rectangle.
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