The inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
a(n) = 3n - 30
To find make subject n and solve
a(n) + 30 = 3n
[tex]\rm n = \dfrac{a(n) + 30}{3}[/tex]
Plug n = n(a) and a(n) = a
[tex]\rm n(a) = \dfrac{a + 30}{3}[/tex]
Thus, the inverse of a function is n(a) = (a+30)/3 option (A) is correct by using the concept of the inverse of a function.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
3. Omar chooses a marble at random from the bag shown below. Without putting
the first marble back, he chooses another marble.
What is the probability that Omar chooses two blue
marbles? Express your answer as a fraction in lowest terms.
Answer:
Theres no bag we cant solve it without you showing a picture or describing it
Step-by-step explanation:
Given: m∡MXY = m∡KXY
What is the conclusion reached by this proof?
Answer:
b
Step-by-step explanation:
just took it
Answer:
B. m∠JXY = m∠NXY
Step-by-step explanation:
I got the answer correct
4x² + 24x + 20
common factor =
Which of the following is correct based on this picture?
B. none of these are correct
the length of a rectangle is 5 cm less than 3 times its width. The perimeter is 62 cm.
What is the length?
Answer:
length=22 [cm].
Step-by-step explanation:
1) if the length is 'l' and the width is 'w', then it is possible
2) to write the given perimeter: 62=2(l+w), - this is the 1st equation of system;
3) to write the condition 'the length of a rectangle is 5 cm less than 3 times its width' as 3w-5=l, - this is the 2d equation of the system.
4) using two equations above it is possible to make up the next system:
[tex]\left \{ {{2(w+l)=62} \atop {3w-5=l}} \right. \ = > \ \left \{ {{w+l=31} \atop {3w-l=5}} \right. \ = > \ \left \{ {{l=22} \atop {w=9}} \right.[/tex]
5) finally, the length=22 [cm].
How much time do you actually save by speeding?
I need it now!!! pls
Answer:
To answer 5)
First we know that...
[tex]\frac{235}{360}[/tex] of the circle = 94 people
To find total people=
[tex]\frac{235}{360}[/tex]×x=94
x=144 people
To find the number of hokey players: 360-(235+90) =35
so, [tex]\frac{35}{360}[/tex]×144=14
So, 14 people are chose hockey
Please need the answer ASAP for number 3!!!!
Answer:
second and fourth option
Step-by-step explanation:
the discriminant of a quadratic equation is the easiest way to know how many solutions there will be
(discriminant: b²- 4ac)
{a discriminant of 0 means 1 solution; discriminant < 0 means no real roots, discriminant > 0 means two real roots }
so, we can quickly run b² - 4ac for each equation provided:
(note: ax² + bx + c is the formatting we use to find a, b, and c)
8² - 4(-9)(-8)
64 - 288 = -224
4² - (4)(1)(4)
16 - 16 = 0
-1² - (4)(-10)(-9)
-1 - 360 = -361
-6² - (4)(3)(3)
36 - 36 = 0
So, because the second and fourth options listed have a discriminant of 0, they have 1 real solution
hope this helps!! have a lovely day :)
Express cos S as a fraction in simplest terms.
Answer: Read attachment.
Step-by-step explanation: Attached below is my work. Hope it helps!
Dan sold 40 concert tickets in 5 days.
Each day he sold 3 tickets MORE than the
previous day. The number of tickets he
sold on the third day is?
Step-by-step explanation:
The number of tickets sold by Dan the first day is x.
Tickets sold on the 2nd day: x+3
on the 3rd day: x+6
on the 4th day: x+9
on the 5th: x+12
Since the total of tickets sold by Dan is 40:
x+(x+3)+(x+6)+(x+9)+(x+12)=40
5x+30=40
5x=10
x=2
number of tickets sold on the third day: 8
Evaluate.
-|a+b| 2-c when a=1 2/3 b=-1 ,and c= -3 Enter your answer as a simplified fraction in the box.
Step-by-step explanation:
-| 12/3 - 1| 2-(-3)
-|12-3/3|5
-5|9/3|
-5|3|
-5×3 & -5×-3
-15 & 15
I think it is the answer
question is in the image below please help
Answer:
p= 80
Step-by-step explanation:
p+8 = 8 x 11
p+8 = 88
p= 88-8
p= 80
what would 41.2 hours converted into minutes?
PLEASEEEEEEEEEE HELPPPPPPPPPP!! IM SO CONFUSED HOW TO DO THIS!
Create a word problem that can be represented by this mathematical statement and solve your problem.
12! / 3! 9!
Given the function f(x) = -0.5|2x + 2 + 1, for what
values of x is f(x) = 6?
x = 6, x = -5
x = 5, x = -5
x= 7, x=-6
Ono solution
DONE
Answer:
Step-by-step explanation:
56565656565656565656565
Waiting for answer, could u help?
Answer:
The practical domain of function is , Roscoe can ride his bike only from 10 miles to 30 miles.
Domain of function is defined as the set of input values for which the function is defined i.e. the set of its possible inputs,
The amount of time it takes for Roscoe to ride his bike m miles is represented by a function.
Where m represent, number of miles he can ride.
Above function is defined for every value of m . But in question it is mention that Roscoe rides his bike at least 10 miles but not more than 30 miles.
Therefore, Domain of function is from 10 miles to 30 miles
Step-by-step explanation:
find SP when profit loss is given
Answer:
the formulas for profit and loss percentage are given below profit percentage p profit cost price into 100 loss percentage l is equal to loss cost price is into 100 SP
need help i don't know what im doing?
Answer:
X=5
Step-by-step explanation:
f(1)= -1^2+4(1)+12=15
f(2)= -2^2+4(2)+12=16
f(3)= -3^2+4(3)+12=15
f(4)= -4^2+4(4)+12=12
f(5)= -5^2+4(5)+12=7
g(1)=1+2=3
g(2)=2+2=4
g(3)=3+2=5
g(4)=4+2=6
g(5)=5+2=7
so g(5)=f(5)= X=5
Answer:
Step-by-step explanation:
You're suppose to plug in the values 1, 2, 3, 4, 5, and 6 into f(x) and g(x) to find where they're equal to find the solution to f(x) = g(x) (when the column values are equal).
So for example
f(1) = -(1)^2 + 4(1) + 12
f(1) = -1 + 4 + 12
f(1) = 15
g(1) = 1 + 2
g(1) = 3
put these two values in the table for f(1) and g(1)
f(2) = -(2)^2 + 4(2) + 12
f(2) = -4 + 8 + 12
f(2) = 16
g(2) = 2 + 2
g(2) = 4
f(3) = -(3)^2 + 4(3) + 12
f(3) = -9 + 12 + 12
f(3) = 15
g(3) = 3 + 2
g(3) = 5
f(4) = -(4)^2 + 4(4) + 12
f(4) = -16 + 16 + 12
f(4) = 12
g(4) = 4 + 2
g(4) = 6
f(5) = -(5)^2 + 4(5) + 12
f(5) = -25 + 20 + 12
f(5) = 7
g(5) = 5 + 2
g(5) = 7
f(5) = g(5) so the solution is when x=5
f(6) = -(6)^2 + 4(6) + 12
f(6) = -36 + 24 + 12
f(6) = 0
g(6) = 6 + 2
g(6) = 8
Find the average of the numbers 6 4/7, 1 5/56, 9 1/7, 3 5/8. Write the solution as a mixed number or a fraction in lowest terms.
Answer:
[tex]\frac{187}{112}[/tex]
Step-by-step explanation:
Just add them all up in the calculator and divide by the number of numbers, which in this case is 4
Step-by-step explanation:
follow the steps in the attached
Which expressions are equivalent to the given equation. Logarithmic form
The expression that is equivalent to the given logarithm equation is log₄ 1 / 4 + log₄ x²
How to solve logarithm?log₄ (1 / 4 x²)
Using logarithm law, the logarithm can be express as follows;
using logarithm law,
Therefore, the expression that is equivalent to the given logarithm equation is as follows:
using addition law for logarithm,
log₄ (1 / 4 x²) = log₄ 1 / 4 + log₄ x²
learn more on logarithm here: https://brainly.com/question/2428816
#SPJ1
The graph of y=x−2−−−−√ is is transformed to become y=x+3−−−−√−2. Which of the following statements best describes the effect this transformation has on the graph of y=x−−√
Answer:
The graph is translated 5 units left and 2 units down
Step-by-step explanation:
transformation =
initially the equation of graph [tex]y=\sqrt{x-2} = f(x)[/tex]
after transformation the equation becomes [tex]y = \sqrt{x+3} -2 = g(x)[/tex]
transformation done [tex]f(x) = \sqrt{x-2}[/tex] → [tex]g(x) = \sqrt{x+3} -2[/tex]
The horizontal shift of graphit depends on the value of h. The horizontal shift is described as:
g(x) = f(x + h) - The graph is shifted to the left h units.
g(x) = f(x - h) - The graph is shifted to the right h units.
if h=0, means that the graph is not shifted to the left or right
the vertical shift of graphThe vertical shift depends on the value of k. The vertical shift is described
as:
g(x) = f(x) +k - The graph is shifted up k units.
g(x) = f(x)- k - The graph is shifted down k units.
so here in the question the graph is shifted 5 units left and then 2 units down
you can see the graph of initial equation and transformed equation below.
learn more about graphs and transformation at
brainly.com/question/10059147
#SPJ10
A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet. What is the height of the tunnel 5 feet from the edge? Round your answer to the hundredths place.
9.99 feet
13.82 feet
24.65 feet
25.01 feet
The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
What is an ellipse?An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.
2a = 60 (width of the tunnel is 60 feet)
a = 30
And the maximum height at the center of the tunnel is 25 feet
b = 25
Let's assume the center of the ellipse is at the origin.
So the equation of the ellipse:
[tex]\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1[/tex]
Now plug x = a - 5 = 30 - 5 = 25
[tex]\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1[/tex]
After solving:
[tex]\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}[/tex]
[tex]\rm y^2=\dfrac{6875}{36}[/tex]
y = ±13.819 ≈ ±13.82
Height cannot be negative
y = 13.82 feet
Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.
Learn more about the ellipse here:
https://brainly.com/question/19507943
#SPJ1
25) Which graph represents the equation below? ) = w+ 2 A ܠܐ 5 4 (2, 4) 3 2 1 (-2,0) -5 -4 -3 -2 -1 0 -1 x 1 2 3 4 5 -2 -3 -4 -5 8 y
The given line equation is y=-1/2x+2
We have given the graph of the line
We have to determine the equation of the line,
We have to points(0,2) and (4,0)
What is the formula for the slope?
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
m=0-2/4-0
m=-2/4
m=-1/2
What is the slope point form?[tex](y-y_1)=m(x-x_1)[/tex]
[tex]y-0=-1/2(x-4)\\y=-1/2x+2[/tex]
Therefore the second option is correct
To learn more about the line visit:
https://brainly.com/question/3493733
#SPJ1
WILL GIVE THE BRAINLIEST!
If r and s are real numbers such that
r>s>0, then
(A) -s>-r> 0.
(B) 0>-r> -s.
(C) 0> -s> -r.
(D) -s>0> -r.
(E) -r> -s > 0.
Answer: Choice (C) 0> -s> -r
==========================================================
Explanation:
Let's consider an example. Pick any two positive numbers for r and s, where r is larger than s. I'll go with these:
r = 5s = 2We see that r > s is true since 5 > 2 is true
Also both are larger than 0 so we can say r > 0 and s > 0
This all combines into r > s > 0 being the case.
If we negate each number, then -r > -s would no longer be true. Use a number line to see that -5 is to the left of -2, so -5 > -2 is not true. Instead it would be -5 < -2
You can think of it like floors on a skyscraper. Positive numbers are above ground, while negative numbers are below ground in the basement levels. See the diagram below.
So -r > -s must be -r < -s instead. Both are smaller than 0
-r < 0 and -s < 0
This combines to -r < -s < 0
Flip everything and swap the outer sides to get 0 > -s > -r which leads us to choice C as the final answer
I will give lots of points please help
Step-by-step explanation:
PART 1:
on the graph you can make a triangle at any point and with any angle measures.
i recommend a smaller right triangle to be easiest.
i recommend the points (0,3) A (3,0) B and (0,0) C
∆ABC angle measurements:
m∠CAB=45°
m∠ABC=45°
m∠ACB=90°
PART 2:
(4,3) D (7,0) E and (4,0) F make an identical right triangle moved 4 squares to the right
m∠FDE=45°
m∠DEF=45°
to find the missing value of the angle EFD we will use subtraction and addition
180-(45+45)
180-90
90
therefore, the m∠EFD=90°
PART 3:
both the angle measures and the shapes of the triangles are the same
PART 4:
i used a 1:1 ratio
sorry for the wait :)
Help I’m stuck on this question! Please help.
Answer: 20
Step-by-step explanation:
A and B have 57+79-42=94 distinct elements in total.
This means that 114-94=20 elements are in neither A nor B.
2/5 X -3/4
i need help on this
Answer:
[tex]-\frac{3}{10}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} *-\frac{3}{4} \\=-\frac{6}{20} \\=-\frac{3}{10}[/tex] (Reduced to simplest form.)
What is the solution to this system of equations
3x+y=17
X+2y=49
Answer:
x=−3 and y=26
Step-by-step explanation:
Let's solve your system by substitution.
3x+y=17;x+2y=49
Step: Solve 3x+y=17 for y:
3x+y=17
3x+y+−3x=17+−3x(Add -3x to both sides)
y=−3x+17
Step: Substitute−3x+17 for y in x+2y=49:
x+2y=49
x+2(−3x+17)=49
−5x+34=49(Simplify both sides of the equation)
−5x+34+−34=49+−34(Add -34 to both sides)
−5x=15
-5x/5 = 15/-5 (Divide both sides by -5)
x=−3
Step: Substitute −3 for x in y=−3x+17:
y=−3x+17
y=(−3)(−3)+17
y=26(Simplify both sides of the equation)
Answer:
x=−3 and y=26
When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
Choose all of the following statements that are true.
a.
The domain is {4, 8, 11, 15}.
b.
An 11 gallon tank would cost $44.00 to fill completely.
c.
A 9.1 gallon fill-up would cost $35.49.
d.
A 12 gallon tank would cost $47.40 to fill completely.
Option D statement "A 12-gallon tank would cost $47.40 to fill completely" is true.
What is a domain?The whole of the independent variable's possible values makes up the domain of a function.
For the given data we need to find which of the given statements are true.
From option A:
The domain is {4, 8, 11, 15}.
The domain is all possible x values so this would be 0 to infinity as you can pay for more gallons not just to that certain set of numbers.
Therefore, option A is False.
From option B:
An 11-gallon tank would cost $44.00 to fill completely.
From the given table we can see that 11-gallon tank costs $43.45.
Therefore, option B is False.
From option C:
A 9.1-gallon fill-up would cost $35.49.
To find 9.1 gallons we need to find the cost of 1-gallon.
That is, 15.80/4 = $3.95 (Given in the table)
Now the cost of 9.1 gallon tank is $3.95 x 9.1 = $35.95 not $35.49
Therefore, option C is False.
From option D:
A 12-gallon tank would cost $47.40 to fill completely.
We found that 1 gallon is $3.95.
$3.95 x 12 = $47.40
Therefore, option D is True.
Hence, from the given statements option D is True.
To learn more about data visit:
https://brainly.com/question/12576014.
#SPJ1
In our QR class, 43% live in Massachusetts. Of the Massachusetts residents, 67% live in
Boston. What percentage of the class lives in Boston?
Answer:
The answer will be 63%.
Step-by-step explanation:
they have all ready mentioned that.