Answers
A: f(x)=8x-2
1. Switch the f(x) to y
y=8x-2
2. Switch y to x and x to y
x=8y-2
3. Solve for y:
------------------------------
1. Add 2 to both sides.
x=8y-2
+2 +2
2. Divide both sides by 8.
x+2=8y
--- ---
8 8
1/8x+1/4=y
3. Write in f-inverse form
f^-1(x)=1/8x+1/4
B: g(x)=2/3x+6
1. Switch the g(x) to y
y=2/3x+6
2. Switch y to x and x to y
x=2/3y+6
3. Solve for y:
------------------------------
1. Subtract 6 from both sides.
x=2/3y+6
-6 -6
2. Multiply both sides by 3/2 (to cancel out the 2/3)
x-6=2/3y
2/3x-4=y
3. Write in f-inverse form
g^1(x)=2/3x-4
C: h(x)-4x-12
1. Switch the h(x) to y
y=-4x-12
2. Switch y to x and x to y
x=-4y-12
3. Solve for y:
------------------------------
1. Add 12 to both sides.
x=-4y-12
+12 +12
2. Divide both sides by -4
x+12=-4y
------ ---
-4 -4
-1/4x-3=y
3. Write in h-inverse form
h^2(x)=-1/4/x-3
Related Questions
help! needed urgently, thanks
Answers
We can multiply 99 by 9/11. This gives us 81. We now need to subtract 99 from 81. This gives us 18.
He has not entered the marks of 18 students.
1/2+2/3 PLEASE HELP AND DONT DO IT LIKE 1.083333333 MY TEACHER DOESNT ALLOW THAT PLEASE HELP ME
Answers
Answer:
7/6 or 1 1/6
Step-by-step explanation:
when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6
1/2=3/6
2/3=4/6
add the numerators and keep the denominator 6
4+3=7
7/6 or 1 1/6
find the area and perimeter of sector OAB given that angle AOB is 60 degrees and the radius of a circle is 21cm
Answers
Answer:
Step-by-step explanation:
Perimeter of a sector
The circumference of a circle is 2 pi r.
pi = 3.14
r = 21 cm
The angle of this particular sector is 60 degrees.
So the formula for this sector is P = 2*r + 60/360 * 2* pi * r
Now all you need do is plug the numbers in.
P = 2 * 21 + 1/6 * 2 * 3.14 * 21
P = 42 + 21.98
P = 63.98
Area of the sector
Area of a circle = pi * r^2
Area of a sector = theta / 360 * pi * r^2
theta = 60 degrees
area of this sector = (60/360) * 3.14 * 21^2
Area of this sector = (1/6) * 3.14 * 441
Area of this sector = 230.79
[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]
Given :-We have given that, Angle AOB is 60° The radius of the circle is 21cmTo Find :-We have to find the area and perimeter of the sector OABLet's Begin :-We have ,
Two radii of the circle OA and OB = 21 cm each [tex]\bold{\angle{ AOB = 60° }}[/tex]AB is the segment of the circleWe know that,
[ Perimeter of sector = Arc length + radius + radius ]
[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]
Subsitute the required values in the above formula :-
Length of the arc of OAB
[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]
[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]
[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]
[tex]\sf{ = 11 × 2 + 42 }[/tex]
[tex]\sf{= 22 + 42 }[/tex]
[tex]\bold{\red{= 64 \: cm}}[/tex]
Thus, The perimeter of the sector OAB is 64 cm
Now,We have to find the area of sector OAB
We know that,
[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]
Subsitute the required values in the above formula :-
Area of sector OAB
[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]
[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]
[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]
[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]
[tex]\bold{\red{= 231 \: cm²}}[/tex]
Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²
What is sector? Sector is nothing but the portion covered by the two radii of the circle For example, In the given circle OAB is sector as it is enclosed by two radii OA and OB.Calculate the equation of the following line.
Answers
Answer:
point-slope form: [tex]y+1=\frac{-3}{2}(x-3)[/tex]
slope-intercept form: [tex]y=\frac{-3}{2} x+\frac{7}{2}[/tex]
Step-by-step explanation:
find the slope of the line using two points on the graph, and then you can get your equation in point-slope form. if you need it in slope-intercept form, you can re-arrange your point-slope form equation.
hope this helps :)
What’s the answer in neeeeeeeeed it………
Answers
Answer:
10x
Step-by-step explanation:
Help me to answer this pls
Answers
To convert celsius to Fahrenheit:
=》(0°C × 9/5) + 32 = 32°F
To convert Fahrenheit to celsius:
=》(32°F − 32) × 5/9 = 0°C
To convert kelvin to celsius:
=》 C = K - 273.15.
To convert Fahrenheit to kelvin :
=》°F = (K − 273.15) × 9/5 + 32.
Using these formulas,
1) 38°C
= (38°C × 9/5) + 32
= 100.4°F
2) 313 K
= 313K − 273.15
= 39.85°C
3) 85°F - 69°F
= 16° F ------> difference
In celsius :
= (16°F − 32) × 5/9 =
-8.889°C
4) At 3 p.m = 13°F
If temperature increases by 2°F,
At 5 p.m =》
13 + 4
= 17°F
5) 55°F - 5
= 50°F
In kelvin :
(50°F − 32) × 5/9 + 273.15
= 283.15K
Hope it helps ⚜
Robyn saves $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each.
Which answer gives the best estimate for the number of books Robyn can buy?
Answers
Answer: umm I think the best estimate would be$37.38
Step-by-step explanation:
i) How do you find the sum of the angle measures of any convex polygon?
ii) If the polygon is regular, how do you find the measure of each interior angle in the polygon?
iii) How do you find the sum of the exterior angle measures of any convex polygon?
iv) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?
Answers
Answer:
1) The sum of interior angles of a convex polygon is equal to (n-2) × 180°, where 'n' is the number of sides of the polygon.
2) A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.
4) Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.
Step-by-step explanation:
I hope this helps!!Write the equation of the line in slope-intercept form.
the question is 80y and 8x
The equation of the line in slope-intercept form is
Answers
Answer:
Y =mx/10+c/80
Point(8x, 80y) lies on Y =mx +c
20) A school orders 26 packs of pencils. Each pack contains 12 boxes of 12 pencils. The
pencils are to be shared equally among the 14 classes in the school. To the nearest whole
number, how many pencils will each class be given?
Answers
Answer:
266
Step-by-step explanation:
26*12*12/14
sounds
pls explain this to me I don't get it
Answers
Answer:
u divide all numbers by 1000
Step-by-step explanation:
Test Direction: Find the measure of <s. Write the answer on the space provided.
Answers
Answer:
16. 40°
17. 40°
18. 50°
19. 45°
20. 135°
Step-by-step explanation:
16. angles opposite to each other are equal
17. 180 - 140 = 40
18. 90 - 40 = 50
19. 65 + 70 = 135
180 - 135 = 45
20. 145 + 80 = 225
360 - 225 = 135
hope this helps :)
2 people share 3 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
Answers
Answer:
1.5 Pieces
Step-by-step explanation:
If you divide 3 chocolate bars by 2 people it will evenly be distributed by 1.5
Answer:
Just divide it.
Step-by-step explanation:
Take each bar height as 10. There are 3 bars. So the total height is 30. But there is 2 persons, so dividing it will result 15. So according to this assumed answer, I will say you will have to do this :
Give one bar to each of them and the bar should be divided in half, provided that two parts should be there as well as both parts of it should be 5 in height.
So, the upper part was an assume. This time, you mentioned no heights, so I will do it with equation process.
(meaning of each variable)
people = x
chocolate bar = 3
2x ( since 2 people) = 3 ( three chocolate bars )
2x=3
x=3/2
x=1.5 ( one and half )
I hope you understand.In the figure shown below all angles are right angles are right angles and the side lengths given are in yards what is the area in square yards of the figure? Please explain to me im confuse I got 134 and it's wrong
Answers
Answer:
98
Step-by-step explanation:
4 * 2 = 8
9 * 10 = 90
90 + 8 = 98
help!!!!!!!! pls!!!!!
Answers
10;14
Basketball and friends
Graph the line that passes through the points (0,-5) and (-5,_6)
Answers
Answer:
Step-by-step explanation:
First find the slope(m) between (0,-5) and (-5,-6)
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] = [tex]\frac{1}{5}[/tex]
y = [tex]\frac{1}{5}[/tex]x -5
I attached the graph. I used desmos.
Hope that helps!
what is the sum of the measures of the exterior angles of a decagon?
Answers
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon is 360°
sum of exterior angles of decagon = 360°
Simplify to a single power of 4:
Answers
Answer:
[tex]4^8[/tex]
Step-by-step explanation:
Formula: [tex](a^b)^c = a^{bc}[/tex]
Solve:
[tex](4^2)^4[/tex][tex]4^{2*4}[/tex][tex]4^8[/tex]-Chetan K
Please someone please help me.
Answers
Answer: B
Step-by-step explanation:
Help me pleaseeee! I beg u
Answers
Answer:
look at the pictures
Step-by-step explanation:
0.25(2/3y-5+1/3y-7-9y)=0.25
Answers
Is 1.24 a rational number?
Answers
Answer:
YES
Step-by-step explanation:
Can anyone please help me with this? I need help really soon!
Answers
Answer:
(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is
Q25. The floor of a hall is completely covered by 26 carpets, each
measuring 4m in length and 3m in breadth. What is the area of the
of the hall?
Answers
Answer:
[tex]276m^{2}[/tex] total area. 78m breadth.
Step-by-step explanation:
First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.
Bob rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 80 cents for each mile driven. Bob had to pay $114.19 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
124 miles
Step-by-step explanation:
$14.99 + ($0.80 x m) = $114.19 (where m is miles driven)
$0.80m = $99.20
m = 124
Need the answer pls help
Answers
Answer:
A = (-4, -6)
B = (-2, -2)
C = (-6, -4)
If √(2x+3) =√(2x+33) which is the correct solution *
9
8
6
Answers
Answer:
No solution
Step-by-step explanation:
(√(2x+3))^2 =(√(2x+33))^2
2x+3 = 2x+33
The parking garage at the airport has 4750 empty parking spaces and 250 full parking spaces. What percent of the spaces in the garage are empty write your answer using a %
Answers
Answer:
I'd say around 95% or 94.737%
Step-by-step explanation:
4750 - 250 = 4500
4750/250 = 1/19
1/19 = 0.052 or close to 5%
4750 x 94.737% = 4500.0075
I hope this helps!
If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x) - g(x)?
Answers
Answer:
4
Step-by-step explanation:
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help me with geometry please
Answers
Answer:
44
Step-by-step explanation:
angle a is congruent with d so they have the same angle