find the inverse function
Answer
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Step by step
[tex]y = \frac{2x}{5} + 2[/tex]
Swap roles of x and y
[tex]x = \frac{2}{5} y + 2[/tex]
Then
[tex]5x = 2y + 10[/tex]
So
[tex]2y = 5x - 10[/tex]
Hence
[tex]y = \frac{5}{2} x - 5[/tex]
Therefore
[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]
Annabelle cuts 2 feet from a 5-foot length of rope. Then she cuts 17 inches from the rope. How many inches of rope are left?
Answer:
1.58feet
Step-by-step explanation:
Given data
Total lenght of rope= 5 feet
She cuts 2 feet
Remainder= 5-2= 3feet
Now let us convert 17inches to feet
from tables, 17inches is 1.41667feet
Hence the amount of rope now left is
=3-1.41667
=1.58feet
[tex]2x^2+8x-7=-2[/tex]
Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer
Answer:
x = -2 ±√(13/2)
Step-by-step explanation:
3)
How many solutions are there to the following equation?
3x-2(1 + x) + 2 = x
A. O
B. 1
C. Infinitely many
Answer:
letter B.1
ayan po sagot sa number 3
Step-by-step explanation:
3x-2(1 + x) + 2 = x
3x-2-2x+2=x
x-x=0
infinitely many
f(x) → 4x - 7. Find f(9)
Answer:
29
Step-by-step explanation:
f(x) = 4x -7
f(9) = 4(9)-7
=36-7
=29
JESSIE CAN MAKE 300 PHOTOCOPIES OF A PAGE IN 3 MINUTES. ELSA XANDO THE SAME JOB IN 6 MINUTES. IF BOTH OF THEM WORK TOGETHER, HOW LONG IT WILL TAKE THEM TO DO THE JOB?
Answer:
elsa can do 150 in 3 minutes.
so together they can do 450 in 3 minutes, or 150 in 1 minute
they would need two minutes
Answer:
4.5 minutes long to do their job.
Help asap please 50 points
Answer:
The area of rectangle is 8 x ² y ².
Step-by-step explanation:
Given that :- Measure of side A of rectangle is 2 xySide B measure twice the length of side A = 2 × ( 2xy ) = 4 xyTo Find :-➛ Area of rectangle
Formula Used :-➛ Area of rectangle = Length × Breadth
Solution :-Firstly we need to find Breadth of rectangle
Using Formula
Area of rectangle = Length × Breadth
Where
Length of rectangle = 2xy
Breadth of rectangle = 2 × 2xy = 4 xy
Substituting the values into the Formula
Area of rectangle = 2 xy × 4 xy
multiply, we get
Area of rectangle = 8 x² y²
Therefore, Area of rectangle is 8 x ² y ².
[tex]given \: f(x) = \frac{4x - 10}{x - 2[/tex]
determine the x and y intercept of f
Given :-
f(x) = 4x - 10/ x -2To Find :-
x and y intercept .Solution :
Let ,
→ y = f(x)
So that ,
→ y = 4x - 10/ x -2
For finding x intercept , substitute y = 0 .→ 0 = 4x - 10/x - 2
→ 4x - 10 = 0
→ 4x = 10
→ x = 10/4
→ x = 5/2
→ x = 2.5
For finding y intercept , put x = 0 .→ y = 4*0 - 10 / 0 -2
→ y = -10/-2
→ y = 5
x intercept = (2.5,0)y intercept = (0,5)Question 3 of 10
What are the domain and range of the function represented by the table?
х
-5
0
5
10
15
|
у
-1
0
1
2
3
O A. Domain: -5 sxs 15
Range:{-1,0, 1, 2, 3}
O B. Domain: {-5, 0, 5, 10, 15}
Range: -1 sys3
O C. Domain: {-1,0, 1, 2, 3}
Range:{-5, 0, 5, 10, 15}
D. Domain:{-5, 0, 5, 10, 15)
Range:{-1,0, 1, 2, 3}
Given:
The table of values of a function.
To find:
The domain and range of the given function.
Solution:
Domain: The set of input values of x-values is known as domain.
Range: The set of output values of y-values is known as domain.
From the given table it is clear that x-values are [tex]-5,0,5,10,15[/tex] and the y-values are [tex]-1,0,1,2,3[/tex]. So,
[tex]Domain=\{-5,0,5,10,15\}[/tex]
[tex]Range=\{-1,0,1,2,3\}[/tex]
Therefore, the correct option is D.
The domain and range of the function represented by the table is as follows:
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}What are domain and range of a function?The domain of a function is the set of input values, x, for which a function is defined. The domain is the input of the function. The domain is the sets of all input value that produces the output value.
The domain are likewise called input . The domain are usually the x values
The set of values the function outputs is termed the range of the function. In a simpler term, the range are the output of the function. The range are usually the y values.
Therefore, the domain and range of the function represented by the table is as follows;
Domain: {-5, 0, 0, 5, 10, 15}Range: {-1, 0, 1, 2, 3}learn more on domain and range here; https://brainly.com/question/25173046
You bought your car at the cost of $3000.If the value depreciates each year at a rate of 5%.By how much did the value of the bicycle devalued
Answer:
$150
Step-by-step explanation:
Given
Price of car = $3000
Percent depreciation = 5%
Depreciation amount = 5% of $3000
Depreciation amount = 0.05 * 3000
Depreciation amount = $150
New value for the car = 3000 - 150
New value for the car = $2850
The value of the car devalued by $150
can someone help please !! giving brainlist to anyone who answers
Answer:
with?
Step-by-step explanation:
Which type of angle is related to supplementary angles?
Reflex
Straight
Acute
Obtuse
straight angle because the supplementary angle and straight angle is same.
In a survey of 2,700 people who owned a certain type of car, 954 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
35.333333333...%
Step-by-step explanation:
954/2700 = 35.33333333333333...%
You could use a calculator to solve these types of problems, but I'm not saying you should use one for every single problem.
Anyway, hope this helps.
Help, please. I really need help one this
Answer:
2#) 20f+15-2f
18f+15
2#) choose 1
3#)60-3h-9
51-3h —> 3(17-h)
3#)choose 1
4#) 4(5x+3y)
20x+12y
4#)choose 4
5#) r+3r+ _=6r
6r-4r= 2r
5#)choose 4
Only point (1 ) I didn't know I'm sorry
1. Simplify by combining like terms and then evaluate for x = 2 and y=-1
a) x + 2x - 6
b) 6x – 5x-x+8y
Answer:
a)0
b)-27
Step-by-step explanation:
I simplified it u just combine the like terms
the rest should be easy
Christine owns 9 hair bands and additional hair bands are 2 for a dollar. How much money does she need to spend on hair bands in order to own a total of 49 hair bands?
Answer: $20
Step-by-step explanation:
If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour. the rates that Latoya charges for x hours of tutoring are modeled with with the function shown.
Choose.. will charge (5,10,15,20) more to tutor for 5.5 hours
Answer:
Latoya will charge $10 more to tutor for 5.5 hours
Step-by-step explanation:
We shall look at the total charges of both tutors individually.
Oscar charges $25 for the first hour of tutoring and $15 for each additional hour of fraction of an hour counting as a whole hour.
This means that for the first hour, Oscar charges $25.
For every subsequent hour, regardless of whether the student was tutored for the full hour or only partial, Oscar still charges $15 for the particular hour. To clarify, here is an example.
If a student is tutored for 2 hours, the cost for Oscar's tutoring is $25 (first hour) + $15 (second hour) = $40. However, if the student is still tutored for 1.5 hours, the cost for Oscar's tutoring is still $25 (first hour) + $15 (second hour) = $40. This is because Oscar counts the partial minutes as a full hour in tutoring costs.
For 5.5 hours, the cost of Oscar's tutoring is
$25 (first hour) + $15*4 (2nd to 5th hours) + $15 (the last half an hour) = $100.
Now, we shall look at Latoya's tutoring cost.
f(x) =
30x,
[tex]0 \leqslant x \leqslant 3[/tex]
20x,
[tex]3 < x \leqslant 6[/tex]
10x,
[tex]x > 6[/tex]
The tutoring cost depends on x, the number of tutoring hours. In this case, x is 5.5. The cost for 5.5 hour depends on the formula 20x since 5.5 is more than 3 but less than 6.
Hence, the tutoring cost for Latoya is $20*5.5 = $110.
In this case, Latoya charges $110-$100=$10 more to tutor for 5.5 hours.
can someone pls help for brainlest
Answer:
area of the larger figure=32 yd×37 yd
=1184 yd²
area of the smaller figure=21 yd ×26 yd
=546 yd²
area of the shaded region=1184 yd² -546 yd²
=638 yd²
f(x) = 4* and g(x) = 45
Use the values given in the table and the functions to
determine the missing values.
A=
X
f(x)
g(x)
B=
1
-2
C =
16
1
4
-1
UNI->
0
1
1
4
2
2
16
с
Answer:
The missing values are [tex]A = \frac{1}{4}[/tex], [tex]B = 1[/tex] and [tex]C = 4[/tex], respective.
Step-by-step explanation:
We find the values regarding A, B and C by evaluating [tex]g(x)[/tex] at respective values of [tex]x[/tex]:
[tex]x = -2[/tex]
[tex]g(-2) = 4^{-\frac{2}{2} }[/tex]
[tex]g(-2) = 4^{-1}[/tex]
[tex]g(-2) = \frac{1}{4}[/tex]
[tex]A = \frac{1}{4}[/tex]
[tex]x = 0[/tex]
[tex]g(0) = 4^{\frac{0}{2} }[/tex]
[tex]g(0) = 1[/tex]
[tex]B = 1[/tex]
[tex]x = 2[/tex]
[tex]g(2) = 4^{\frac{2}{2} }[/tex]
[tex]g(2) = 4^{1}[/tex]
[tex]g(2) = 4[/tex]
[tex]C = 4[/tex]
Answer: A=1/4, B=1, C=4
Step-by-step explanation:
Correct on edge 2022
help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
101°
Step-by-step explanation:
In the rightmost triangle the missing angle is:
180° - 51° - 90° = 39° . 90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side
In the leftmost triangle, the missing angle is:
180° - 90° - 50° = 40° . 50° comes from 180° - 130°
In the straight line
ABC = 180° - 40° - 39° = 101°
Answer = 101°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
8 Luis put out 6 different pies at a picnic. At the end of the picnic, he noticed this about about the pies: 3 One whole apple pie was eaten, and of another apple pie was eaten 4 1 of the blackberry pie was eaten 2 NI 1 of the blueberry pie was eaten 5 of the cherry pie was eaten 8 3 of the peach pie was eaten 4 What is the total amount of Luis' pies that were left over? pies the scratchpad to show your work.
Answer:
2 1/4
Step-by-step explanation:
Here is the complete question used in answering this question :
Luis put out 6 different pies at a picnic at the end of the picnic, he noticed this about the pies: one whole apple pie was eaten, and 3/4 of another apple pie was eaten 1/2 of the blackberry pie was eaten 1/8 of the blueberry pie was eaten 5/8 of the cherry pie was eaten 3/4 of the peach pie was eaten. What is the total amount of pies that where left over
amount left of apple pie = 1 - 3/4 = 1/4
amount left of blackberry pie = 1 - 1/2 = 1/2
amount left of blueberry pie = 1 - 1/8 = 7/8
amount left of cherry pie = 1 - 5/8 = 3/8
amount left of peach pie = 1 - 3/4 = 1/4
add this figures together
[tex]\frac{2 + 4 + 7 + 3 + 2 }{8}[/tex] = [tex]\frac{18}{8}[/tex] = [tex]2\frac{2}{8}[/tex] = 2[tex]\frac{1}{4}[/tex]
Help PLEASE 50 POINTS
Answer
I am going to answer the one thats like can you classifly each firgure
cone is the one on the far right
cylinder is the one thats a long circle kinda shape at the top
pyramid is the second to the left
prism is the one next to cylinder.
Step-by-step explanation:
Answer: Its a rectangular prisim
Step-by-step explanation: It has three dimensions, length, width, and height. Some examples of a rectangular prism in real life are rectangular tissue boxes, school notebooks, laptops, fish tanks
Can I pls get help on this ASAP!!
Step-by-step explanation: 6dsdsnds
Escribe el nombre de algún tipo de ángulo que se forma "Entre Dos rectas Paralelas y una Secante"
Answer:
We see that opposite angles are two angles between two secant lines (“secant lines” simply means two lines that cross each other) that share a vertex (that is why they are called “vertical” angles). We see also that they are not adjacent (which means next to each other) but opposite each other.
Step-by-step explanation:
Vemos que los ángulos opuestos son dos ángulos entre dos líneas secantes (“líneas secantes” simplemente significa dos líneas que se cruzan) que comparten un vértice (por eso se llaman ángulos “verticales”). También vemos que no son adyacentes (lo que significa uno al lado del otro) sino uno frente al otro.
GRADE 6 MATH PLEASE ANSWER DUE TOMORROW
Answer:
I left out a few so you can do 1 or 2! :D
Step-by-step explanation:
3: 1/2 hour + 1/4 hour= 3/4 hour on computer
5: 1/5 more of the money
6: 8/5 9/4
7: a:6 5/9 b: 3 9/10 c: 4/5 d: 4 5/8
8 They have the same denominator
10: a: 5/12 b: 6 times more c: How much of the day does he spend sleeping or schooling
Give Brainiest answer to me. It helps! :D
Answers:
4.)
a)
i) 3/8 - 1/4 = 3/8 - 2/8 = 1/8
ii) 4/5 - 3/4 = 16/20 - 15/20 = 1/20
b)
9.) It's less than 1 and the tops are smaller then the bottem
How to solve this? I have no clue and also teach me on how to solve this! Thank you!!!
Answer:
90 counterclockwise or 270 clockwise
Step-by-step explanation:
just trust me bro lolskies
====================================================
Explanation:
Through some strange formatting error, the tickmarks are not in the proper locations. They should be to the right and slightly above the letter. They should be close by, and not far away like that.
It looks like the purple figure is the image while the blue figure is the preimage. If that's the case, then we've applied a 90 degree counterclockwise rotation to go from blue to purple.
Notice how angle AQA' is 90 degrees as shown by the green segments in the diagram below. So are BQB' and CQC' and DQD' as well.
We could also rotate the blue figure 270 degrees clockwise to arrive at the same purple image. Note how 90+270 = 360 which is a full circle.
Shirley Floyd makes handmade quilts. Using direct distribution, she sold 20 quilts last year
at $550 each. This year she is considering using an indirect channel by selling to three area
craft stores. This way, she estimates that she can sell 35 quilts at $400 each. What will be
the difference in revenue if she makes the change?
I really need help ill love you forever if you help me thank you so much
Answer:
x = 13
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
30 = 1/2 (5x-5)
Multiply each side by 2
2*30 = 2* 1/2 ( 5x-5)
60 = 5x-5
Add 5 to each side
60+5 = 5x-5+5
65 = 5x
Divide each side by 5
65/5 = 5x/5
13 = x
1 + 2 + 3 + ... + 98 + 99 + 100
Answer:
101 + 102 + 103 + ... + 998 + 999 + 1000
Step-by-step explanation:
=====================================================
Explanation:
This series is arithmetic since the common difference is 1. In other words, we're adding 1 to each term to get the next one.
The quickest way to find the sum is to use the formula below
S = (n/2)*(a+b)
where n is the number of terms, 'a' is the first term, and b is the last (or nth) term. This formula only works for arithmetic series.
We can see that n = 100, a = 1 and b = 100, so....
S = (n/2)*(a+b)
S = (100/2)*(1+100)
S = 50*101
S = 5050
-----------
This can be confirmed by noticing that we have 100/2 = 50 pairs of terms. Pair up the terms such that 1 goes with 100, 2 goes with 99, 3 goes with 98, and so on.
We have these fifty sums
1+100 = 101
2+99 = 101
3+98 = 101
....
48+53 = 101
49+52 = 101
50+51 = 101
We have 50 copies of 101 being added, which leads to 50*101 = 5050
--------------
The slowest and most tedious way to confirm this is to type 1+2+3+...+98+99+100 into your calculator. The result should say 5050. Using a spreadsheet would be a better option instead of using a handheld calculator. I don't recommend this unless you need more proof that we end up with 5050 as the final answer.
Need help to answer this plz
Answer:
25^2 + 36^2 = 49^2
Step-by-step explanation:
You can use the Pythagorean theorem to determine if it is a right triangle
If it is a right triangle
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
25^2 + 36^2 = 49^2
If this is true, then it is a right triangle