Given are the graphs of the functions f(x)=√x and g(x)=2 sinx. Use the graph or graph the functions on your own and determine all values of x that solve the equation f(x)=g(x). Explain how you identified the solutions.
Answers
The values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.
How to solve graphically two equations by graphic approach
In this question we must look for all points where each curve intersects each other. By direct inspection on figure given, we conclude that [tex]f(x) = g(x)[/tex] happens in thrice: (i) [tex](x,y) = (0, 0)[/tex], (ii) [tex](x,y) = (0.256, 0.505)[/tex], (iii) [tex](x,y) = (2.285, 1.512)[/tex]
Hence, the values of [tex]x[/tex] that solve the equation [tex]f(x) = g(x)[/tex] are 0, 0.256 and 2.285, respectively.
To learn more on solving equations, we kindly invite to check this verified question: https://brainly.com/question/11897796
Related Questions
The school principal wants to know whether the students in the entire school prefer football or basketball. The principal draws a random sample from the following groups: . All school teachers . All girls in each grade • All students in each grade • All students on the basketball team Which of the following groups best represents the population she should take a random sample from to get the best results for her survey? (1 point) 1) All school teachers 2) All girls in each grade 3) All students in each grade 4) All students on the basketball team
Answers
Answer:
3
Step-by-step explanation:
because 3 includes everyone so it's not biased
graph and step by step explanation
3w - 10>-4
Answers
Answer:
If your trying to find w then it'll be 2
Step-by-step explanation:
3w - 10 > -4
+10 +10
3w > 6
3 3
w > 2
So I added 10 on both sides and guess positive 10 is bigger than -4, it'll be a positive 6. Then I divide 3 on both sides after I got 6 and thats how I got 2
2x<15 pls help me it will be great.
Answers
Answer:
x<7.5
Step-by-step explanation:
Answer:
[tex]x < \frac{15}{2} [/tex]
Step-by-step explanation:
1) Just Divide both sides by 2.
[tex]x < \frac{15}{2} [/tex]
Therefor, the answer is x < 15/2.
Please answer quick
Please Please Please Please
Answers
Answer:
the answer is 3!!!!!!!!!!
Then you will cancel the common factor of 6
me box plots below compare the heights or the gins and the boys the seventh grade at Helzor
Middle School
Boys' Heights
Gifs Heights
HEHEHE
30 40
70
Heights (inches)
which statement is true based on the information in the box plots above?
F. The boys' heights have a center height about 10 inches larger than the gets heights.
The boys' heights have a larger spread than the girls heights.
The whiskers on the box plot of the inte heights are more varied in length than the whiskers on
the box plot of the boys heights.
At least one boy and one gitare 72 inches tall
Answers
Step-by-step explanation:
Wait, what are you trying to ask?
63 : 21 = __ : 3
I need help pls a quick answer would be great. Thanks!
Answers
Answer:
9 : 3
Step-by-step explanation:
To get from 21 to 3 we divided 21 by 7, therefore we have to do the same to the other side and so we get...
63 / 7 = 9
Therefore 63 : 21 = 9 : 3
Consider the three isosceles triangles.
a. Find the value of x for each triangle
The value of x for the green triangle is ___°
The value of x for the purple triangle is ___°
The value of x for the red is ___°
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The value of x for the purple triangle is 25 degrees
The value for x on the red triangle is 45 degrees
Find the length of the missing side. Leave your answer in simplest radical form.
Answers
9x9=81
4x4=16
c squared=97ft squared
c=9.84ft
Which of the following tables accurately represents the data shown in the bar graph?
Candy Number of People
Chocolate 10
Hard Candy 12
Chewy Candy 8
Candy Number of People
Chocolate 10
Hard Candy 12.5
Chewy Candy 8.5
Candy Number of People
Chocolate 10
Hard Candy 13
Chewy Candy 9
Candy Number of People
Chocolate 10
Hard Candy 14
Chewy Candy 10
NEXT
Answers
C
You just gotta read the graph. Chocalate is 10, Hard Candy is 13 and Chewy is 9
Answer:
it is actually b beacuse hard candy on the graph is 12.5 not 13!
Step-by-step explanation:
I dont want you guys to get it wrong so it is:BHELP ME PLSSS
I kinda know what to do but at the same time, I'm so lost right now. help
Answers
Answer:
THEY messed you upon this one and I don't see if you have to write or not!
More details please and thank you!
Step-by-step explanation:
ayuda
es para dentro de una hora._.
Answers
Answer:
5.-90+0=-90
Step-by-step explanation:
Caleb took 24 photos at the zoo. 3/8 of his photos are of giraffes. How many of his photos are
of giraffes?
Answers
Answer:
9
Step-by-step explanation:
divide 24 by 8 and multiply what you got by 3
24/8=3
3*3=9
Answer:
9
Step-by-step explanation:
[tex] \frac{3}{8} \times \frac{24}{1} [/tex]
[tex] \frac{3 \times 24}{8 \times 1} [/tex]
[tex] \frac{72}{8} [/tex]
[tex]72 \div 8[/tex]
[tex] = 9[/tex]
can someone explain the answer ?
Answers
Answer:
x = 9.5
Step-by-step explanation:
Since you are given the adjacent side and need to find the hypotenuse then you need to use cos = adj/hyp so cos (47) = 6.5/x
So x = 6.5/.682, since cos 47 = .6819983601
x = 9.5
A roofer props a ladder against a wall so that the top of the ladder reaches a 20 foot roof that needs repair. If the angle of elevation from the bottom of the ladder to the roof is 46 degrees, what is the length of the ladder to the nearest foot?
Answers
Answer:
19.33 ft
Step-by-step explanation:
This analogy has to do with Pythagoras theorem.
We're given our angle of elevation to be 46°, and told that the height of the building to be 20 ft. Using Pythagoras theorem, we know that the given height is opposite to the angle of elevation, and thus, the required distance is adjacent to it.
Sin 46° = opp / hyp
Sin 46° = 20 / hyp
hyp = 20 / sin 46
hyp = 20 / 0.719
hyp = 27.82 ft
We've gotten the length of the ladder, our hypotenuse, to be 27.82. It's tied length we'd then use top find the needed length.
Cos 46° = adj / hyp
Cos 46° = adj / 27.82
adj = 27.82 * Cos 46
adj = 27.82 * 0.695
adj = 19.33 ft
Therefore, the required length is approximately equal to 19.33 ft
16. If Owen's house is point A (11, 3) and David's house is point B (15, 13),
how far away from eachother do they live?
Answers
Answer:
about 16.248 units
Step-by-step explanation:
Using the distance formula, and rounding to the nearest thousandth, we get 16.248
Help extra points please !
Answers
Answer:
C. -1 is less than x
Step-by-step explanation:
-3 < 4x + 1
-3-1 < 4x +(1 -1)
-4 < 4x
-4/4 < 4x/4
-1 < x
HI would some one please help me !
Answers
Answer:
C) 4^2
Step-by-step explanation:
4^7 * 4^-5 = 4^(7-5) = 4^2.
If it is helpful, plz give me Brainliest.
Answer:[tex]4^{2}[/tex]
Step-by-step explanation:
Let's take our equation
[tex]4^{7}*4^{-5}\\[/tex]
Now subtract the exponents
[tex]7-5=2\\4^{2}[/tex]
(a) Jimmy and Sam were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone?
SHOW ALL WORK AND EXPLAIN
Answers
Answer:
Volume = 1 πr2h3= 1×π×122×73= 336π= 1055.5751316062 inches3
11x - 2x + 15 = 8 + 7 + 9x
Help please
Answers
Answer:
15 it's in the equation
Step-by-step explanation:
11x-2x=9x 9x-9x=0
7+8=15
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Answer:
Let's solve your equation step-by-step.
11x − 2x + 15 = 8 + 7 + 9x
Step 1:
Simplify both sides of the equation.
11x − 2x + 15 = 8 + 7 + 9x
11x + −2x + 15 = 8 + 7 + 9x
( 11x + −2x ) + ( 15 ) = ( 9x ) + ( 8 + 7 )
( Combine Like Terms )
9x + 15 = 9x + 15
9x + 15 = 9x + 15
Step 2:
Subtract 9x from both sides.
9x + 15 − 9x = 9x + 15 − 9x
15 = 15
Step 3:
Subtract 15 from both sides.
15 − 15 = 15 − 15
0 = 0
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f(n)=n2 – n; Find f(9) help!
Answers
its 72
I think its right?
What is the scale factor from figure B to A?
Answers
Answer:
19/57=15/45=11/33
1/3=1/3=1/3
1:3
lemme just vent real quick. i do flvs. im almost a straight A student. for the most part. i've litterly been doing this flvs math exam all day. 2 parts btw. i flunked the first one, and i got a 50. im just dying too see what i get now. ive already asked like 3 questions on here, but they havent been answered. feel free to go look at them. if you've read this far, go get some points. :D thanks for reading.
Answers
Answer:
I'll go help, i need to answer at least 25 questions in 48 hours anyways too
Answer:
ok. i will try to answer them my best
Step-by-step explanation:
thank you for free points though. may god bless you
Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank holds exactly 120 gallons of water. Tank A will hold small fish and Tank B will hold large fish. Dr. Howser plans on buying 3 small fish for every 10 gallons of water in Tank A. He plans on buying 6 large fish for every 40 gallons of water in Tank B.
How many total fish is Dr. Howser planning on buying?
What will be the ratio of the number of small fish he buys to the number of large fish that he buys?
Show or explain the steps you used to solve this problem.
Enter your answers and your work or explanation in the box provided.
Answers
Answer/Step-by-step explanation:
How many total fish is Dr. Howser planning on buying?
BOTH tanks hold 120 gallons
Tank A :
3 every 10 --> 120/10 ---> 12
So multiply 3 and 12 ----> 36
36 fishes in tank A
Tank B:
6 every 40 -----> 120/40 ----> 3
So multiply 6 by 3 ----> 18
18 fishes are held in tank B
Add them together:
18 + 36 ----> 54
ANSWER : Dr. Howser is planing on purchesing 54 fish all together.
What will be the ratio of the number of small fish he buys to the number of large fish that he buys
Small ---> 36 fish
Large ---> 18 fish
Small : Large ----> 36:18
ANSWER: 36:18
if you need it siplified it would be 2:1
i need help this is due tomorrow
Answers
Answer:
[tex]r=\frac{41}{14}[/tex]
Step-by-step explanation:
[tex]\frac{3r-2}{5} =\frac{5+2r}{8} \\\\8(3r-2)=5(5+2r)\\24r-16=25+10r\\24r-10r=25+16\\14r=41\\\\r=\frac{41}{14}[/tex]
write an equivalent expression for each of the following by combining like terms
3a+4(5a - 4)=
5b -2(5a -b) + 10a
Answers
Answer:
17a - 16
7b
Step-by-step explanation:
Given the following expressions
3a+4(5a - 4)=
Expand
3a + 4(5a)- 4(4)
= 3a + 20a - 16
= 17a - 16
For the expression
5b -2(5a -b) + 10a
Expand
5b - 2(5a)-2(-b) + 10a
5b - 10a + 2b + 10a
= 5b + 2b -10a + 10a
= 7b + 0
= 7b
PLEASE HELP FAST!!
One method that meteorologists could use to find the height of a layer of clouds about the ground is to shine a bright spotlight directly up onto the cloud layer and measure the angle of elevation from a known distance away. Find the height of the cloud layer in the diagram to the nearest tenth
Answers
Answer:
367.6 mStep-by-step explanation:
Use trigonometry
Let the height of the cloud be x, then we have:
tan 35° = x/525x = 525 tan 35°x = 367.6 (rounded)The height of the cloud layer is 367.6 m
a) Write 6.04 x 10 as an ordinary number
b) Write 2400 000 in standard form
c) Write 0.00147 in standard form
Answers
Answer:
a) 60.4
b)2.4×10^6
c)1.47×10^-3
Step-by-step explanation:
here is the answer
Help me please!!!!!!!!!
Answers
Answer:
The midpoint of BC is -7
Step-by-step explanation:
will give brainliest and five stars
Answers
Answer:
B
Step-by-step explanation:
4x + 8 is another way of saying
4(x) + 4(2)
Solve the equation g + 12 = 8. *
Answers
Answer:
t=c
Step-by-step explanation:
ty = xyzn
Why? You want to get g alone so you subtract 12 from 8 and get -4