The one-to-one functions g and h are defined as follows.
g={(-9, 2), (-1, -3), (2, 3), (9, 4)}
h(x) = 3x-4
Find the following.
g^-1 (2) =?
h^-1 (x) =?
(h • h^-1) (2) =?
Answer:
Hello,
Step-by-step explanation:
[tex]g(-9)=2\Longrightarrow\ g^{-1}(2)=-9\\\\y=h(x)=3x-4\\x=3y-4\\\\y=\dfrac{x+4}{3} \\\\h^{-1}(x)=\dfrac{x+4}{3}\\\\h(h^{-1}(x))=(h^{-1}o\ h)(x)=1_\pi(x) \ (identical\ permutation\ of\ plane) \\\\h(h^{-1}(2))=2[/tex]
Please help me
will give the brainliest!
need explanation
Find f(g(4)).
f(g(4)) =
Answer:
4fg
Step-by-step explanation:
regrouping terms leaves 4 f variables along with the 4 g variables, since f is also multiplied by g, that would leave the answer to be 4fg. (socratic)
(4g)
Step One: Remove/ Alter the equation= f(gx4)
Step Two: Do the equation= f(gx4); f (4)
I hope I've helped! If you need anything, ask away!
Rewrite the fraction with the indicated denominator
Answer:
170
Step-by-step explanation:
17/7
Multiply the top and bottom by 10
17*10/ 7*10 =170/70
The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].
The given fraction is[tex]\frac{17}{7}[/tex].
Convert the fraction with a denominator of 70.
To do this, multiply the numerator and denominator by 10:
[tex]\frac{17}{7} \times \frac{10}{10}[/tex]
[tex]=\frac{17 \times 10}{7 \times 10}[/tex]
[tex]=\frac{170}{70}[/tex]
Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].
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A fair six-sided die is rolled 66 times. Theoretically, about how many times should a roll of "6 occur?
Answer:
11
Step-by-step explanation:
On a fair six-sided die, there is a [tex]\frac{1}{6}[/tex] chance of rolling each number. Therefore, for each of the rolls, the number 6 has a [tex]\frac{1}{6}[/tex] chance of being rolled. This can be read as for every 6 rolls, one 6 should appear.
Since the die is being rolled 66 times, we have the following proportion:
[tex]\frac{1}{6}=\frac{x}{66}[/tex], where [tex]x[/tex] is the theoretical number of times a roll of "6" occurs.
Multiply both sides by 66:
[tex]x=\frac{1}{6}\cdot 66=\boxed{11}[/tex]
can anyone please help me out?? 3rd time posting this question and I really need help!!!!
Please help y'all I'd greatllyyy appreciate itt!!!!!!!!!!! (no links)
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make?
Answer:
Step-by-step explanation:
Which is a y-intercept of the graphed function
Well, a y-intercept is a the point on a graph where the x value equals 0, because the point sits exactly on the y-axis. In this case, the y-intercept would be (0, -9).
Answer:
(0,-9)
Step-by-step explanation:
The y intercept is where the graph crosses the y axis ( where x =0)
The y intercept is
-9
(0,-9)
¿Qué valor de m creará un sistema de líneas paralelas sin solución? y = mx - 6 8 x - 4 y = 12 Una cuadrícula de coordenadas con una línea etiquetada como 8 x menos 4 y es igual a 12. La línea pasa por un punto en (0, menos 3), (1, menos 1) y un punto en (1,5, 0). - 2 - 2
Answer:
Hello,
m=2
(0,-3) True
(1,-1) True
(1.5,0) True
(-2,-2) False
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&mx-6\\8x-4y&=&12\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}y&=&mx-6\\y&=&2x-3\\\end{array}\right.\\\\\\The\ slope\ must\ be\ the\ same:\ m=2\\\\\\\begin{array}{c|c}&y=2x-3\\---&--------\\x&y\\0&2*0-3=-3\\1&2*1-3=-1\\1.5&2*1.5-3=0\\-2&2*(-2)-3=-7\\\end{array}[/tex]
Write in point-siope form, siope-intercept form, and standard form an equation that passes
through( - 1, 2) with slope 4.
Answer:
The forms are:
y - y1 = m(x - x1)y = mx + bax + by = cGiven:
m = 4Point (-1, 2)Use point slope form:
y - 2 = 4(x - (-1))y - 2 = 4(x + 1)Convert it to slope-intercept form:
y = 4x + 4 + 2y = 4x + 6Convert it to standard form:
4x - y = - 6I AM GIVING BRAINLISEST AND 20 POINTS! Write the equation of the circle in standard form.
Answer:
[tex](x-4)^2+(y)^2=9[/tex]
Step-by-step explanation:
The general format for the equation of a circle is the following:
[tex](x-n)^2+(y-m)^2=a[/tex]
This circle will have a radius of ([tex]\sqrt{a}[/tex]), moreover, this circle will have its center at point [tex](n,m)[/tex]. Please note that its center is shifted (n) units to the right of the origin, and (m) units up. Apply this knowledge to the given problem.
The circle in the given problem has its center at (4, 0). Therefore the following can be stated,
[tex]n=4\\\\m =0[/tex]
Since one knows the center of the circle is at (4, 0), and (the circle has (4, 3) on its circumference, the distance between the coordinates will produce the radius of the circle. The following formula can be used to find the distance between two points on a number line,
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the points one is trying to find the distance between. Substitute the given points into the formula and solve for the distance between them.
[tex]D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
Simplify,
[tex]D=\sqrt{(4-4)^2+(3-0)^2}[/tex]
[tex]D=\sqrt{(0)^2+(3)^2}[/tex]
[tex]D=\sqrt{0+9}[/tex]
[tex]D=\sqrt{9}[/tex]
[tex]D=3[/tex]
The parameter (a) is equal to ([tex]D^2[/tex]) are per the format of the equation, thus one must do the following to find the value of (a):
[tex]a = D^2[/tex]
[tex]a=3^3[/tex]
[tex]a = 9[/tex]
Substitute all of the information into the general formula for the equation of a circle, then simplify,
[tex](x-n)^2+(y-m)^2=a[/tex]
[tex](x-4)^2+(y-0)^2=9[/tex]
[tex](x-4)^2+(y)^2=9[/tex]
solue for x
X(3 + X) = 3x + x²
Answer:
here,
3x-3x=
[tex] {x}^{2} - {x}^{2} [/tex]
x=0
If you can show the work please its due in 1 hour 15 points and marking brainliest.
Answer:
[tex]a) \: \: 7x[/tex]
[tex]b) \: \: 12 {x}^{2} - 5x[/tex]
[tex]c) \: \: - 3x + 4[/tex]
Step-by-step explanation:
[tex]a) \: \: 4x+7x−3x−x \\ 11x−3x−x \\ 8x−x \\ 7x[/tex]
[tex]b) \: \: 7 {x}^{2} −6x+5 {x}^{2} +x \\ 12 {x}^{2} −6x+x \\ 12 {x}^{2} - 5x[/tex]
[tex]c) \: \: 9−4x−5+x \\ −4x+4+x \\ −3x+4[/tex]
Hope it is helpful....I need help finding the measures
Answer:
a = 50
b = 50
c = 80
d = 50
e = 130
Step-by-step explanation:
e = 180 - (25 + 25) {Angle sum property & It is an isosceles triangle}
= 180 - 50 = 130
a +e = 180 {Linear pair}
a + 130 = 180
a = 180 - 130
a = 50
d =a {Vertically opposite angles}
d = 50
c = 180 -(50+ 50 ) {Angle sum property & It is an isosceles triangle}
c = 180 -100
c = 80
a+b + c = 180 {Straight angles}
50 + b + 80 = 180
b + 130 = 180
b = 180 - 130
b = 50
Answer these 3 questions and show how por favor! 39-says what is his age
Answer:
I dont know. sorry sorry
Find the area of the shaded region
Answer:
12 sq. units
Step-by-step explanation:
The formula for finding the area of a triangle is a = 1/2bh, or 1/2 times base times height.
To do this, multiply the base (6) and height lengths (4). This gets you 24.
But we're not done. You must then multiply by 1/2, which is the same a dividing by 2/1 or 2. 24/2 = 12. Slap on the unit of measurement and you've got your answer.
The diameter of a circle is 7 m. Find its area to the nearest tenth.
Area = pi x r^2
R = 7/2 = 3.5
Area = 3.14 x 3.5^2
Area = 38.5 m^2
Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900
Answer: $1900
Step-by-step explanation:
Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).
So, if he take money remaining with him = x = $950
Amount of money he first had = 2x =$950×2 = $1900
(06.05 MC)
A juice company did a survey among 100 customers to find their juice preferences. The customers
were asked about their preferences for apple or orange juices. Out of the total 35 people who liked
apple juice, eight also liked orange juice. There were 20 people who liked orange juice.
Part A: Summarize the data by writing the values that the letters A to l in the table below represent.
(5 points)
Like apple juice
Do not like
apple juice
Total
A
B
с
Like orange juice
D
E
Do not like
orange juice
F
H
G
Total
I
Part B: What percentage of the survey respondents did not like either apple or orange juice? (3
points)
Part C: Do the survey results reveal a greater dislike for apple juice or orange juice? Justify your
answer. (2 points)
(10 points)
Answer:
Part A: A = 8
B = 20
C = 28
D = 35
E = 37
F = 72
G = 43
H = 57
I = 200
Part B: 18.5%
Part C:
D = People who do not like Orange Juice
B = People who do not like Apple Juice
I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.
D = 35
B = 20
So there is a greater dislike for Orange Juice.
Step-by-step explanation:
Which of the following is equivalent to (16^3/2)^1/2
Answer:
8
Step-by-step explanation:
(16^3/2)^1/2
We know a^b^c = a^(b*c)
16 ^(3/2*1/2)
16 ^3/4
Rewriting 16 as 2^4
2^4^3/4
2^(4*3/4)
2^3
8
please help me is for my homework
Answer:
0.625
Step-by-step explanation:
:) i hope this helps.
need help with this !!
Answer:
1
5
4
2
3
Step-by-step explanation:
1 combines the sets A and B. that symbol there stands for U like "union". so, all values of x, where x is either < 1 or >= 5.
2 is again a union. A and C are combined. C contains only one element : x=5.
3 is again a union. B and C are combined. but the element of C (x=5) is already part of B (x>=5), so the union does not change anything, the result is simply B again.
4 is doing a "cross section" between the sets A and B. only elements that are in both sets are in the result. but x < 1 and x >= 5 don't have any elements in common. so, the result is an empty set.
5 is again a cross section. the only shared element between B and C is x=5.
(x+3)*(x+4)*(x+5)*(x+6)+1
Which of the following best describe(s) the slope of a linear function?
Select all that apply.
rise over run
run over rise
average rate of change
intersection with the y-axis
An airplane flies a distance of 800km from A to B. If its average speed is 600km/h, how long does it take to cover that distance?
Answer:
1 hour 33 minutes
Step-by-step explanation:
distance/speed= time
d =800/600
d=1.33
The aeroplane takes 1.33 hours to traverse a distance of 800 km.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: An airplane flies a distance of 800 km with an average speed of 600 km/h
Thus the time taken by the aeroplane to cover that distance is
t=800/600
t=4/3
t=1.33 hours
Hence, The aeroplane takes 1.33 hours to traverse a distance of 800 km.
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evaluate :5/63-(-6/21)
Answer:
answer is [tex]\frac{23}{63}[/tex]
Step-by-step explanation:
the equation is
[tex]\frac{5}{63}-(-\frac{6}{21} )[/tex]
=> [tex]\frac{5}{63}+\frac{6}{21}[/tex]
=> [tex]\frac{5}{63}+\frac{2}{7}[/tex] ;(divide numerator and denominator of [tex]\frac{6}{21}[/tex] by 3)
=> [tex]\frac{5+2*9}{63}[/tex]
=> [tex]\frac{23}{63}[/tex]
hope you have understood this
pls mark it as the brainliest
Select the correct answer from the drop-down menu.
A
The diagram shows a stage in the construction of a line perpendicular to GH through point A.
The next step in this construction is
Reset
Next
2021 Edmentum. All rights reserved.
The diagram is missing and so i have attached it.
Answer:
Next step is;
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
A perpendicular line is to be drawn to line GH through point A.
The steps are;
1. Identification of the two end points of the line which has been done.
2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.
3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.
4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.
This line is the perpendicular line to GH.
In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.
Answer:
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
How is karl Pearson coefficient of skewness is differ from bowley's coefficient?
Answer:
where is the rest of the question??
Step-by-step explanation:
Delta math need help
Answer:
2.6
Step-by-step explanation:
We'll use the Pythagoras theorem to solve this, which states that in a right angle triangle:
h^2 = a^2 + b^2
4^2 = 3^2 +b^2
16= 9 +b^2
16-9= b^2
7= b^2
(take square root in both sides)
b= 2.65
round to nearest 10th = 2.6
answer by Gauthmath
Answer:
Missing side is 2.6
3^2 + x^2 = 4^2
9 + x^2 = 16
-9 -9
x^2 = 7
([tex]\sqrt{x}[/tex])^2 = [tex]\sqrt{7}[/tex]
x = 7
Find the approximation o the square root of 7 in fractions then carry out the long division.
Or
Approx. is 2 3/5 which equals 2 6/10 which equals 2.6
Nicholas wants to order a pizza. He has a total of $13 to pay the delivery person. This pizza cost $7.50 Plus $1.25 per topic. If he plans to tip 15% of the total cost of the pizza, how many toppings can he order
Answer:
Nicholas can order up to 3 toppings.
Step-by-step explanation:
Solve for the tip:
15% of the total cost = 15% × $7.50
Convert percentage into a decimal:
0.15 × 7.50 = 1.125
Variable x = number of toppings
Set up an equation:
7.50 + 1.125 + 1.25x = 13
Combine like terms:
8.625 + 1.25x = 13
1.25x = 4.375
x = 3.5
Since it is impossible to order "half" of a topping (0.5), Nicholas can only order up to 3 toppings.