Find the percent change and tell whether it is a percent decrease or
increase.
Original amount: 30
End amount: 45
Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}
Given:
The different functions in the form of set of ordered pairs.
To find:
The function which has an inverse that is also a function.
Solution:
A relation is a function if there exists unique y-value for each x-value.
We know that the inverse transformation is defined as:
[tex](x,y)\to (y,x)[/tex]
So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.
In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.
In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.
In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.
In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.
Therefore, the correct option is A.
The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.
Answer:
manz I think u would need like a ruler or something
10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file
URGENT! What are the residuals for the scatter plot. Thank you!
Answer:
demos & mathaway
Step-by-step explanation:
I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.
What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63
Answer:
0.78
used a calculator
Simplify using the multiplication rule.
A. the first one is the answer
Step-by-step explanation:
[tex]\sf \bf {\boxed {\mathbb { a. \:2 {y}^{2} \sqrt{6x}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \sqrt{4x {y}^{3} } \sqrt{6y} [/tex]
[tex] = \sqrt{4 \times 6 \: x \: {y}^{(3 + 1)} } [/tex]
[tex] = \sqrt{( {2})^{2} \times 6 \: x \: {y}^{4} } [/tex]
[tex] = \sqrt{( {2})^{2} \times 6 \: x \: { ({y}^{2} })^{2} } [/tex]
[tex] = 2 {y}^{2} \sqrt{6x} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
i need help quick!! i need steps please. i dont understand it
will mark brainliest.
Answer:
Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know
Step-by-step explanation:
It is not a rotation, a mirror a flip or anything like that i think its only slides.
I didnt se this before every slide counts as 2 so its 4 up and 6 to the right
6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?
Answer:
Step-by-step explanation:
Its 43567 bc I searched it up
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
Please help??? An explanation would help too and the answers
the first, (f+g)(x) is f(x) + g(x)
calculating it like:
x² + 7x + (8 -x²)
= x² + 7x + 8 -x²
= 7x + 8
you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.
edit1: the domain is the range of possibilities wich x we can plug into the new equation
Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml
Answer:
surface area is A≈394.08
not so sure about volume
Step-by-step explanation:
factorise fully 3r+6r2
Answer:
3r(1 + 2r)
Step-by-step explanation:
3r + 6r^2
take common
3r(1 + 2r)
Answer:
3r(1+2r2)
Step-by-step explanation:
write the set of positive perfect square numbers that is less than 120 . any sort of help is appreciated due 5 pm
Answer:
{1,4,9,16,25,36,49,64,81,100}
The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?
Answer:
+9
Step-by-step explanation:
+9-9=0
can somebody help plz
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Two Boys are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. One of them thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.
This is one of theirs work.
a2 + b2 = c2
32 + b2 = 52
9 + b2 = 25
b2 = 16
b = 16−−√
b = 4
Why is his reasoning incorrect? Explain.
How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Round your answer to the nearest tenth of a foot. Show your work.
Another boys parents bought a 10 foot piece of plywood for him and his friend to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Draw
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b Hence:
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
Answer:C
Step-by-step explanation:
Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME
Answer:
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Step-by-step explanation:
Given expression is (15 - √105).
Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]
Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,
15 - [tex]\sqrt{105}[/tex] = Slightly less than 5
From the given options answer will be,
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
help me please: tan3x-tanx-1=0
Answer: [tex]x=0.30714\dots +\pi n[/tex]
Step-by-step explanation:
[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
Which equation describes the line graphed above?
A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.
Answer:
(105 | 35)
the x-component (how much to the side) is left, the y-component right (how high)
The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
What is a graph?A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.
For the given situation,
The graph shows the time in x-axis and cost in y-axis.
Ordered pairs are often used to represent two variables.
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.
From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.
Thus the point of intersection is x at 110 and y at 35.
⇒ [tex](x,y)=(110,35)[/tex]
Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
Learn more about graphs here
https://brainly.com/question/7563606
#SPJ2
What is the basic unit of time? What is the relationship between time and sound in music? please help im desperate
If 4p + 3q + 2r = 3 and -4p - 2q - 2r = 4, then q = ?
(A) 0
(B) 2
(C) 3
(D) 4
(E) 7
Answer:
E
Step-by-step explanation:
Label the two equations:
4p +3q +2r= 3 -----(1)
-4p -2q -2r= 4 -----(2)
(1) +(2):
4p +3q +2r -4p -2q -2r= 3 +4
Grouping like terms together:
4p -4p +3q -2q +2r -2r= 7
Simplify:
q= 7
Please help fast! The table shows the results of spinning a spinner several times
Out come A B C D E
frequency 2 4 3 1 2
What is the experimental probability of spinning a c or a d?
2/5
1/48
4/5
1/3
Answer:
2/5
hope it helps
Thank you
(a)Find the commission on Rs65 000 if 4% commission is paid.
(b)On selling an article for Rs2700,a shopkeeper made a profit of 8%.find cost price of the article.
Answer:
Step-by-step explanation:
commission amount = 4 % of Rs 65000
=4/100 * 65000
=260000/100
=2600
therefore commision amount is Rs 2600
SP od an article = Rs 2700
profit %=8%
let CP be x
SP=CP + profit% of CP
2700=x + 8/100 *x
2700=100x + 8x/100
2700*100 = 108x
270000=108x
270000/108=x
2500=x
therefore cost price (CP) of an article is Rs 2500.
Which data value has the highest frequency?
Answer:
33
Step-by-step explanation:
most dots above that point
Without graphing, what can you say about the points (2.5, 1) and (6, 1) on the coordinate plane?
Answer:
hope this helps
Step-by-step explanation:
-they do not have the same slope
-their lines are not parallel
there's probably more but i cant quite think of it as of now
Please help me. I feel really confused and I have no clue on what to do…
Answer:
i cant understand your questions. can you reply me? i will have better answer