Answers
Answer:
D. no function
Explanation:
We have a function because this graph passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the V shaped curve. Any x input leads to exactly one y output.
Even though we have a function, it is not one-to-one. Note how the curve fails the horizontal line test. It is possible to draw a horizontal line and have it pass through more than one point on the curve.
For example, draw a horizontal line through y = 3 and it passes through (-3,3) and (3,3) simultaneously. A one-to-one function is where any y output corresponds to exactly one x input, and vice versa. The output y = 3 corresponds to two different inputs x = -3 and x = 3 at the same time.
Why do we care about one-to-one functions? Well it's to help set up the inverse. The inverse goes the opposite direction of what the original function does. In this case, this function doesn't have an inverse unless we restrict the domain in some way.
Related Questions
You want to buy juices while shopping at ShopRite but are stuck between buying a bottle of apple juice and orange juice. The apple juice is 2 Liters and costs $3.00 while the orange juice is 3 Liters and costs $3.99. Which juice bottle is the better deal?
Answers
Answer:
Orange juice
Step-by-step explanation:
The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.
We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.
Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars
Answers
Answer:
Her investment will increase by 551.54 dollars
Step-by-step explanation:
So we know that the exponential function formula is f(x)=a(1+r)^x
So knowing that we can input values
So now we have f(x)=400(1+0.055)^6
Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6
So next we have to add 1 and 0.055 which is 1.055
So we input that into the equation so now we have f(x)=400(1.055/1)^6
Now we have to do (1.055/1) to the power of six, so we get 1.37884280676
Now we have to 1.37884280676 times 400, which would be 551.537122705.
Assuming they want to the nearest 100th it would be 551.54
So the answer is 551.54 dollars
Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)
What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?
Answers
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object,
We have,
To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:
(x', y') = (kx, ky)
where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.
Substituting the values given in the problem, we get:
(x', y') = (4*(-6), 4*(-2))
Simplifying,
(x', y') = (-24, -8)
Therefore,
The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).
Learn more about scale factors here:
https://brainly.com/question/20759556
#SPJ2
Express each of the following negative angles as its equivalent positive angle between 0°and360°
+120°
Answers
Answer:
Dilated pupils
Long periods of wakefulness
Loss of appetite
Overconfidence
Over-excitement
Paranoia
Runny nose or frequent sniffles
White powder around nostrils
Legal issues
Missing or being late to work
Financial problems
Mood swings
Irritability
Depression
What is the measure of x in the figure below?
Answers
Answer:
115 degree
Step-by-step explanation:
x + 65 = 180 (Sum of angles in a straight line = 180 [Also known as Linear pair])
x = 180 - 65
x = 115 degree
What is the slope of the line? What is the y-intercept of the line? y = 1
Answers
Answer:
m = 0
y intercept = 1
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 1[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 0 [/tex]
[tex]\implies y - intercept= 1[/tex]
Slope of the line is 0, since y=mx+c, if m = 0, then y = c, where the constant (c)=1
y intercept of the line is y = 1.
Answered by GAUTHMATH
pls answer w explanation!
What is the product of the complex numbers 2 + 6i and 2 - 6i? (Note: i= √-1)
Answers
Answer:
10
Step-by-step explanation:
Apply difference of squares.
[tex](x + y)(x - y) = {x}^{2} - {y}^{2} [/tex]
[tex](2 + 6i)(2 - 6i) = {2}^{2} - {6i}^{2} [/tex]
[tex] = 4 + 6[/tex]
[tex] = 10[/tex]
Which is the area between the x-axis and y=x from x=1 to x=5
Answers
Answer:
[tex]\displaystyle A = 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FunctionsFunction NotationGraphingCalculus
Integrals
Definite IntegralsArea under the curveIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
y = x
Interval: x = 1 to x = 5
Step 2: Sort
Graph the function. See Attachment.
Bounds of Integration: [1, 5]
Step 3: Find Area
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^5_1 {x} \, dx[/tex][Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = \frac{x^2}{2} \bigg| \limits^5_1[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle A = 12[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Graph the integer 3 and its opposite on a number line.
Answers
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)
(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot)
{–12, 2}
{–2, 12}
Answers
Answer:
(-12,2)
Step-by-step explanation:
x^2 + 10x = 24
x^2 + 10x + (10/2)^2 = 24 + (10/2)^2
10/2 = 5
5^2 = 25
x^2 + 10x + 25 = 24 + 25
x^2 + 10x + 25 = 49
(x + 5)^2 = 49 Take the square root of both sides
(x + 5) = sqrt(49)
x + 5 = +/- 7
x = +/- 7 - 5
x = +7 - 5 = 2
x = -7 - 5 = -12
Answer:
{ -12 , 2}
Step-by-step explanation:
x² + 10x = 24
In order to complete the square, the equation must first be in the form x² + bx =c.
x² + 10x = 24Divide 10, the coefficient of the x term, by 2 to get 5. Then add the square of 5 to both sides of the equation. This step makes the left hand side of the equation a perfect square.
x² + 10x + 5² = 24 + 5²expand exponents.
x² + 10x + 25 = 24 + 25Add 24 and 25
x² + 10x + 25 = 49Factor x² + 10x + 25. In general, when x² + bx + c is a perfect square, it can always be factored as ( x + b/2)².
( x + 5 )² =49Take the square root of both sides of the equation.
[tex] \small \sf \sqrt{(x + 5) {}^{2} } = \sqrt{49} [/tex]
simplify
x + 5 = 7x + 5 = +/- 7Subtract 5 from both sides.
x + 5 - 5 = 7 - 5
x = 2x + 5 - 5 = +/- 7 -5
x = -7 - 5 = -12What is the order of rotational symmetry of a regular pentagon?
Answers
Answer:
yeet
Step-by-step explanation:
urmom
Find the cosine of angle A to the nearest 100th.
Answers
Answer:
[tex]{ \tt{ \cos(A) = \frac{ \sqrt{700} }{40} }} \\ { \tt{ \cos(A) = 0.66 }}[/tex]
help asap ---- ---- ---- ---- ----v ---- ---- ---- ---- ---- ---- ---- ---- ---- ---- ----
Answers
Given:
The graph of h(x) is the greed dashed line segment.
To find:
The endpoints of the function [tex]h^{-1}(x)[/tex].
Solution:
If (a,b) is the point on the graph of the function f(x), then (b,a) must be the point on the inverse function [tex]f^{-1}(x)[/tex]
From the given graph, it is clear that the endpoint of the line segment h(x) are (-8,1) and (3,-4).
So, the endpoints of the inverse function [tex]h^{-1}(x)[/tex] are (1,-8) and (-4,3).
Therefore, the endpoints of [tex]y=h^{-1}(x)[/tex] are (1,-8) and (-4,3), and the graph is shown below.
Michael modeled from play dough a 15cm high pyramid with a rectangular base with dimensions of a = 12 cm and b = 8 cm. Jane remodeled Michael’s pyramid into a come with a base diameter of d = 10cm, what was the height of Jane’s cone?
Answers
Answer: 251.2 cm3
Step-by-step explanation:
10x3.14x 8 = 251.2
plisss help me in thiss
Answers
Answer:
x=80
Step-by-step explanation:
The angle of a line is 180*.
The equation would be (x+20)+x=180
Subtract 20 from both sides: 2x=160
Divide by 2: x=80
That's your answer!
I hope this helps!
Answer:
x=80
Step-by-step explanation:
I cant explain well but edge 2021 never lie's!
simplify the ratio 4.5: 3 1/2 in its simplest form
Answers
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 [tex]\frac{1}{2}[/tex] ( multiply both parts by 2 to clear the fractions )
= 9 : 7
Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals –1.1 y Almost-equals –1.4 y Almost-equals –1.8 y Almost-equals –1.9
Answers
Answer:
The answer is "[tex]y\approx 1.4[/tex]".
Step-by-step explanation:
In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.
Answer:
b
Step-by-step explanation:
From the top of a 200 foot lighthouse, the angle of depression to a ship on the ocean is 23 degrees. How far is the ship from the base of the lighthouse?
Answers
Answer:
84.89 feets
Step-by-step explanation:
The solution triangle attached below :
The distance between base of lighthouse and ship, d, can be calculated using trigonometric relation :
Tan θ = opposite / Adjacent
Tan 23 = d / 200
d = 200 * tan23°
d = 84.89 feets
Instructions: Find AB. given that line AD is the perpendicular bisector of BC.
Answers
Answer:
19
Step-by-step explanation:
because line a d divided the triangle ABC into two equal halves therefore line a b is equal to line AC which is equal to 19
Instructions: Find the measure of
Answers
Answer:
93
Step-by-step explanation:
Add the two angles 48 and 39 =87. 180-87=93
How many fives makes 6 tens
Answers
Answer:
12.
Step-by-step explanation:
6x10 = 60.
60 divided by 12 =5.
Answer:
12
Step-by-step explanation:
5x = 60
x = 12
Far behind does anyone know this?
Answers
Answer:
the answer is A
Step-by-step explanation:
comment if you want explanation
Answer:
A is the answer to your question
.The endpoints of AB are A(1,4) and B(6,-1).
Answers
Answer:
5√2
Step-by-step explanation:
Finding distance :-
d = √{ ( 1 -6)² + (4+1)²}d = √{ -5² + 5² }d = √{ 25 + 25} d = √50 d = 5√2help me pls i dont get this
Answers
Answer: B. 80
Step-by-step explanation:
Solve the equation they've given you:
[tex]\frac{3}{4} S=60\\\frac{3S}{4} =60\\3S=60*4\\3S=240\\S=80[/tex]
Answer:
B. 80
Step-by-step explanation:
(3/4)S = 60
You want to isolate S. S is being multiplied by 3/4.
You need to multiply 3/4 by its reciprocal to get rid of the 3/4 on the left side.
The reciprocal of 3/4 is 4/3.
The rule with equations is that you are allowed to multiplied both sides of an equation by the same number. Multiply both sides of the equation by 4/3.
4/3 * (3/4) * S = 4/3 * 60
12/12 * S = 4/3 * 60/1
1 * S = 240/3
S = 80
Answer: B. 80
Cosella is conducting an experiment where she assesses how quickly teenagers can run a 100-meter race after consuming specific amounts of caffeine. She divides her sample up into three groups. Group 1 receives a glass of water with no caffeine added. Group 2 receives a glass of water with an amount of caffeine equivalent to that in one cup of coffee. Group 3 receives a glass of water with an amount of caffeine equivalent to that in two cups of coffee. Each participant is then timed as they run the course. In this study, the dependent variable is
Answers
Answer:
The dependent variable is the time taken to run 100 metres
Step-by-step explanation:
A dependent variable is simply one that is being measured or sometimes tested in an experiment.
Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.
Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.
please help -------------------- ASAPPP
Answers
Hello,
[tex]f^{-1}(f(58))=(f^{-1}*f)(58)=1(58)=58\\f(f(5)=f(9)=11\\[/tex]
A farmer wants to fence in a rectangular plot in a large field, using a rock wall which is already there as the north boundary. The fencing for the east and west sides of the plot will cost $4 a yard, but the farmer needs to use special fencing which cost $5 a yard on the south side of a plot. If the area of the plot is to be 600 square yards, find the dimensions for the plot which will minimize the cost of the fencing.
Answers
Hello,
Let's assume x the length of the north's wall
and y the length of west side .
Area:x*y=600 ==> y=600/x
Cost: 2*y*4+5*x=8y+5x= 4800/x+5x
Minimize cost: (4800/x+5x)'=0
-4800/x²+5=0
x²=4800/5
x²=960
[tex]x=8\sqrt{15} \\\\y=5\sqrt{15} \\[/tex]
Please help me with this problem
Answers
Answer:
Step-by-step explanation:
a*b *c = abc
15c = 15 . c
2a * 10b = 2* 10 * a * b = 20ab
The above mentioned expressions are true
That are false
12ab = 12a * 12b ----> false because 12ab = 12 * a* b
7a *7b = 14ab is false because 7a * 7b = 7 * 7* a *b = 49ab
What is the value of -97-7 when /= 2?
-25
-18
11
45
Answers
Step-by-step explanation:
there must be something wrong or missing in your problem description.
what I can read here :
-97 - 7 when divided by 2
-97 - 7 = -104
this divided by 2 is -52.
but there is no such answer.
so, the provided answers and the problem description do not fit to each other.
Someone pls help me ill give out brainliest pls don’t answer if you don’t know
Answers
Answer:
i dont know
Step-by-step explanation:
figure it out yourself
