Step-by-step explanation:
f(g(x))= f(2x)
f(g(x))=3+cos2x
g(f(x))=g(3+cosx)
g(f(x))=2(3+cosx)
g(f(x))=6+2cosx
where,
f(g(x))=g(f(x))
3+cos2x=6+2cosx
2cosx-cos2x+6-3=0
2cosx-cos2x+3=0
x=2pi n1+pi
n1€ z
Andrew and Michael are 15 miles apart. If they walk towards each other, they meet in 3
hours. If they both walk in the same direction, Michael overtakes, Andrew in 8 hours.
How fast does each boy walk?
Answer: Andrew - 1.875 Michael- 3.125
Step-by-step explanation:
If Andrew overtakes in 8 hours, we can divide 15 miles by 8 to see how many miles per hour he goes.
15/8 = 1.875
Then we can multiply 1.875 by 3 to see how much he traveled while walking towards Michael.
1.875*3=5.265- the distance he traveled
Now subtract that by 15 to see how many miles Michael walked.
15-5.625=9.375
That means Michael walked 9.375 miles.
Divide 9.375 by 3 to see how many miles he walked per hour
9.375/ 3 = 3.125
the first one is supposed to be 1 over 2
1/2(4a+10=2a+
Step-by-step explanation:
1/2(4a+10)=2a
expand
2a+5=2a
-2a -2a
=5
What is the missing number in the input output table
Input: 3, 5, ? 17
Output: 16, 22, 31, 58
Answer:
input is 3 5 9 17 so hope you get the answer thanks
Dante is baking two different recipes, cookies and brownies. The cookie recipe requires 1.5 cups of sugar, and the brownie recipe requires 1.25
cups of sugar.
Write an addition equation to represent the total amount of sugar Dante needs.
In his bank account, Jean-Paul has a balance of $0.00
His friend Albert has a bank balance of $11.10
A - Which friend's bank account has more debt?
Jean paul
Albrert
B - Which friend's bank balance has a greater absolute value?
Jean paul
Albrert
Answer:
Hi
Step-by-step explanation:
Xin chào bạn
a. How many non-degenerate scalene triangles with integer sides have a
perimeter of 27?
b. A square is inscribed in an equilateral triangle of side length 2 so that
two adjacent corners of the square lie on two sides of the triangle, and
the third side of the triangle contains one side of the square. The area of
the region inside the triangle and outside the square can be expressed as
a√b − c. What is a + b + c?
Answer:
Hello,
a)18
Step-by-step explanation:
[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]
number of triangle=18
b)
Side of the equilateral triangle =2
Height=√3 (using Pythagorean's theorem) (tr ACP)
Triangle ABJ has the same area as the triangle ABC
Uisng Thalès's theorem,
[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]
7×10 to the power of -5 in standard notation!
Please include an explanation!
Thank you!
PLEaseeee HELP MEEE I beg pleaseee I think I got this wrong please correct me.
Answer:
its 7.2
find the distance using the formula
square root ((y2-y1)^2+(x2-x1)^2)
hope that answers your question.
comment for more explanation
Please help quick! I’ll mark Brainliest
30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8
A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9
Plz help me I need the answer by today.
Answer:
x=5/3, and x=-1
Step-by-step explanation:
The absolute value sign makes anything inside of it positive. So there are two possible x values for this problem. When we open the absolute value brackets we need to create two different equations. 3x-1=4, and 3x-1= -4. Solving these two equations we can find two possible values of x. x equals 5/3, and -1.
Select all sets in which the number - 1/7
is an element.
A.
integers
B.
rational numbers
C.
whole numbers
D.
natural numbers
E.
irrational numbers
F.
real numbers
-1/7 belongs to B. Rational numbers and F. Real numbers.
What is a set ?A set is a collecting of well defined objects one form of writing a set is in roaster method where we write the elements with commas and close them with second brackets.
According to the given question we have to select all the sets in which the number - 1/7 is an element.
-1/7 is a rational number as it can be written in p/q form where q ≠ 0.
This also contain in the set of real numbers as in -1/7 there is no imaginary part.
learn more about number system here :
https://brainly.com/question/21751836
#SPJ2
According to the 2000 census, the population of a city was 935,426. According to the 2010 census, the population of the same city was 934,578. Taylor says the 2000 population was greater than the 2010 population.
1. - Construct an argument that supports Taylor's conjecture.
2. - In 1870, the population was seventy-two thousand, five hundred six. Lupita wrote 72,560. Construct a math argument that explains whether Lupita wrote the number correctly.
The Taylor is right and Lupita is wrong.
It is required to Construct a math argument.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
In 2000 census, the population of a city was 935,426.
In 2010 census, the population of the same city was 934,578.
1. Taylor is correct because in the thousands place there is a a five for 2000 and 2010 it’s a 4.
2. Lupita is wrong it should be seventy-two thousand five hundred sixty.
Therefore, the Taylor is right and Lupita is wrong.
Learn more about statement here:
brainly.com/question/24412283
#SPJ2
help a girl out bc im strugglinggg also, these are two different questions, you can answer both or one of them thank you so much in advance
Step-by-step explanation:
yes the f( x) and g( x) is inverse each other.
f(x) = 3x-5
3x-5=0
x=5/3
g(x) = x+5/3
5x/3
x=3/5
A 2-pound bag of pears costs $4.16. What is the price per ounce?
$4.16÷32=$0.13
Ans:$0.13
hope it helps.
what is the constant rate of change of the function represented in the table?
X: -5 -1 3 7
Y: 23 7 -9 -25
PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIEST
Answer:
-4
Step-by-step explanation:
please tell me if u need explaination
Use the graph of the parabola to identify the domain and range of the function.
Question 18 options:
A) Domain: (–∞, ∞), range (–∞,–3]
B) Domain: (–∞, ∞), range (–∞,3]
C) Domain: (–∞,3], range (–∞, ∞)
D) Domain: (–∞,3], range (–∞, –3)
Answer:
B
Step-by-step explanation:
It's domain is side from side and so it can't be c or d. and it range goes to a positive number so it has to be B.
Please help me! There is graph an I out them as pictures!
Add.
5/6+1/2+3/4
Enter your answer in the box as a mixed number in simplest form.
Answer:
2 1/12
Step-by-step explanation:
5/6+1/2+3/4
Get a common denominator of 12
5/6 *2/2 + 1/2 *6/6 + 3/4 *3/3
10/12 + 6/12 + 9/12
25/12
24/12 + 1/12
2 +1/12
2 1/12
[tex]\bf \Large \hookrightarrow \: \frac{5}{6} \: + \: \frac{1}{2} \: + \: \frac{3}{4} \\ [/tex]
First , we take LCM of denominators
LCM of denominators is 12
[tex]\bf \Large \hookrightarrow \: \frac{10 \: + \: 6 \: + \: 9}{12} \\ [/tex]
[tex]\bf \Large \hookrightarrow \: \: \frac{25}{12} \\ [/tex]
Decimal Form = 2.0833Mixed fraction form 2 × 1/2Please solve these! Read the instructions too!
1
Mrs. Johnson wants to give items to her afterschool group. She has 36 prizes and 24 ballons. What is the greatest number of children she can have in her group so that each child gets equal number of prizes, and an equal number of ballons?
2
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again. (Only write the minutes.)
Answer:
1) 12
2) 72
Step-by-step explanation:
1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.
2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.
Answer:
1. 12 children
2. 72 minutes
Step-by-step explanation:
1. Find the GCF of 36 and 24, which is 12
2. Find the LCM of 18 and 24, which is 72
Write an equation to find the nth term. Then find ₐ₂₄
-1, -4, -7, -10,...
The equation to find the nth term is:
an = a+(n-1)d
Where a is the first term in the sequence, which is -1 and d is the difference, which in this sequence the next term is found by subtracting 3 from the previous term, so d = -3 and n is the term you want to find.
The equation becomes:
an = -1 +(n-1)(-3)
a24 = -1 + (24-1)(-3) = -1 + (23(-3)) = -1-69 = -70
which function has a greater y-intercept?
Function 1
Function 2
The functions have the same y-intercept
WORTH 50 POINTS WOW
Answer:
Function 2 has a greater y intercept
Step-by-step explanation:
Function 1 has a y intercept of -6.5
This is where the value of the input is zero
Function 2 has a y intercept of -6
This is where it crosses the y axis and the input is zero
Function 2 has a greater y intercept is -6>-6.5
Plz help! Giving a lot of points! :)
PLSSS HELPPP! I will give brainliest and 11 points!!
Answer:
B:
4 units right and six units up
One class collects 8 1/4 pounds of recyclable materials. Another class collects 1 1/2 times as many pounds as the first class. How many pounds of recyclable materials do the two classes collect altogether?
Answer:
20.625 pounds
Step-by-step explanation:
8 1/4 = 8.25 pounds
1 1/2 of 8.25 = 12.375 pounds
8.25 + 12.375 =
20.625 pounds
A sector of a circle of radius 6cm subtends an angle in of 105 at the centre of the circle.Calculate
I)the length of the minor
Ii)Perimeter of the sector
Iii)the area of the sector[take pi =22/7
Answer:
c
Step-by-step explanation:
the perimeter of the sector
Answer:
Sorry dont know :(
Step-by-step explanation:
Please help me on this question.
Answer:
[tex]f(1)=-48(-\frac{1}{4} )[/tex]
[tex]= 12[/tex]
[tex]f(n)=f(n-1)\:. (-\frac{1}{4} )[/tex]
OAmalOHopeO
Whats the answer to the question...
Answer:
first graph equation is (0,5)
second graph equation is(-6,0)
Help me pls Will mark best
Answer:
i think the answer is 5 i am not sure if wrong i am sorrry
Step-by-step explanation: