Answer:
[tex]\boxed{f(6) = 34}[/tex]
Step-by-step explanation:
Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as [tex](f \circ g)(2)[/tex], we are replacing the x values in the g(x) function with 2 and simplifying the expression.
[tex]g(2) = 3(2)[/tex]
[tex]g(2) = 6[/tex]
Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.
[tex]f(6) = (6)^2-2[/tex]
[tex]f(6) = 36-2[/tex]
[tex]f(6) = 34[/tex]
Therefore, when we compose the functions, our final answer is [tex]\bold{f(6) = 34}[/tex].
Answer:
[tex]\large\boxed{34}[/tex]
Step-by-step explanation:
[tex]f(x) = x^2 - 2[/tex]
[tex]g(x) = 3x[/tex]
[tex](fog)(2)[/tex]
Find g(2)
[tex]g(x) = g(2)[/tex]
[tex]x=2[/tex]
[tex]3x = 3(2) = 6[/tex]
[tex]g(2) = 6[/tex]
Find f(6)
[tex]f(x) = x^2-2[/tex]
Substitute
[tex]f(6) = x^2 - 2[/tex]
[tex]x^2 - 2 = 6^2 - 2[/tex]
[tex]36 - 2 = 34[/tex]
[tex]\large\boxed{34}[/tex]
Hope this helps :)
A triangle has side lengths of (6.2v-5.5)(6.2v−5.5) centimeters, (8.5v-6.7)(8.5v−6.7) centimeters, and (6.6w+7.6)(6.6w+7.6) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Given:
Side lengths of triangle are (6.2v-5.5) cm, (8.5v-6.7) cm, and (6.6w+7.6) cm.
To find:
The expression which represents the perimeter of the given triangle.
Solution:
We know that perimeter of a triangle is the sum of all sides of a triangle. So,
[tex]Perimeter=(6.2v-5.5)+(8.5v-6.7)+(6.6w+7.6)[/tex]
On combining like terms, we get
[tex]Perimeter=(6.2v+8.5v)+6.6w+(-5.5-6.7+7.6)[/tex]
[tex]Perimeter=14.7v+6.6w+(-4.6)[/tex]
[tex]Perimeter=14.7v+6.6w-4.6[/tex]
Therefore, the perimeter of the triangle is [tex]14.7v+6.6w-4.6[/tex].
Noah wants to create a floor plan that is a scale drawing. The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using?
Answer:
Scale using for plan ⇒ 1 m = 4 cm
Step-by-step explanation:
Given:
Actual length of wall = 4 m
Segment of wall = 16 cm long
Find:
Scale using for plan
Computation:
Actual length of wall = Segment of wall
4 m = 16 cm
1 m = 16 / 4 cm
1 m = 4 cm
Scale using for plan ⇒ 1 m = 4 cm
Answer:
Step-by-step explanation: it’s 1 m because it’s equal to 4
41 out of 50 women surveyed liked perfume. what percentage of women did NOT like perfume
Answer:
18%
Step-by-step explanation:
Long Version: 41/50 = 0.82 and when you move the decimal two places right, you will get 82%. 100%-82%= 18%
Short Version: 9/50 people didn't like perfume. 9/50= 0.18 then you move the decimal two places right and it becomes 18%.
Answer
18% of women do not like perfume.
Step-by-step explanation:
First do 50-41, which is 9 to find out how many women don't like perfume. Next you find the percentage by doing 9/50 = 0.18 then you multiply 0.18 by 100. Finally you get 18%.
Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
Answer:
irrational numbers and real numbers
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Tell which set or sets does the number 8/9 belong to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
Natural numbers are positive whole numbers and they start from 1. Negative numbers and zero are not natural numbers. Example of natural numbers are 1,2, 3, 4... and since 8/9 is a fraction, hence it is not a natural number.
8/9 is not also a whole number. Whole numbers are not written as fractions.
Integers are both positive and negative whole numbers including zero. They are not expressed as ratio of two whole numbers. They are not fractions as well hence 8/9 is not an integer.
Real numbers are both rational numbers and irrational numbers. They can be expressed as a ratio of two integers and can be expressed as decimal. Hence 8/9 is a real number and also irrational numbers.
An irrational number when written as decimal, the number after the decimal does not terminate.
8/9 = 0.888888888888...
As we can see, the number 8 after the decimal point is infinite, hence the reason why 8/9 is an irrational number
Mrs. Jones baked 48 cookies. Her son ate 1/4 of the cookies, then her husband eight1/6 of the remaining cookies. How many cookies are left?
.Start: 48 cookies
Son ate ¼ = 12
36 cookies remain at this point.
Husband ate one sixth ; that's 6 cookies for him, 30 remain.
Answer:
Mrs. Jones has 30 cookies left.
Step-by-step explanation:
First you divide 48 by 4, you then subtract that from 48, so 48-12= 36. next you divide that by six, which is 6, 36-6=30.
if a line contains both point s and the origin, which point would the line also contain?
What operation comes first?
(3 + 1)2-5+4
O exponent
addition
subtraction
O parentheses
My grades are due today and I don’t want to do work that much cuz I got more missing assignments and need help asap
whats the remainder of 23/101
The endpoints of line AB are A(−9,−1) and B(−3,7). Find the coordinates of the midpoint M.
Answer:
(-6,3)
Step-by-step explanation:
1. Last week Mike had 12 dollars. He washed cars over the weekend and
now has 52 dollars.
How much money did he make washing cars ?
Answer: He earned $40.
Step-by-step explanation: So at the begging he started with $12. When he washed cars, he made some money off of that. At the end, he had $52. So now, you need to do 52-12, which equals 40. So, he earned $40 washing cars. Hope that helps.
If you thought that was helpful, say thanks and give me a good rating plz!
guys i need your help you will get 15 points for helping this is 7th grade math if i had 10 apples and my mom had 6 what happened to my mom???
Answer:
ummmmmmm is that the whole question cuz apearently im slow cuz i dont understand and im in 10th
Step-by-step explanation:
Brittany has 50 beads. 70% of the beads are gold. How many beads does Brittany have?
Answer: 35 gold beads and 15 non-gold beads
Step-by-step explanation:
70% of 50
.70×50 = 35
50 - 35 = 15
Which answer choice correctly completes the sentence The problem solving plan is a method to A.Show all your work in math. B. Give an example of a real-life problem. C. Make solving a word problem easier. D. Check to see if your answer is reasonable
Answer:
c
Step-by-step explanation:
I need help plzzz 7 + 5p + 4r + 6s
PLEASE HELP!
7 x blank = 1
Answer: 1/7
Step-by-step explanation:
7x=1
x=1/7
2. You can use the formula a = ñ to find the batting average a of a batter who has
h hits in n times at bat. If a batter has a batting average of 265 and has been at bat
200 times, how many hits does the batter have?
Answer:
the batter have hits 754
Step-by-step explanation:
given:
If a batter has a batting average of 265 and has been at bat
200 times
find:
how many hits does the batter have?
batting average = 265 / 100 = 0.265
number of bat times = 200
let hits = h
aver = bat times
no. of hits
0.265 = 200 bat times
h
cross multiply:
0.265 h = 200
h = 200 / 0.265
h ≅ 754.72
therefore,
the batter have hits 754
Answer:
hits = 754
Step-by-step explanation:
If a batter has a batting average of 265 and has been at bat
200 times
batting average = 0.265
number of bat times = 200
aver = bat / h
0.265 = 200 / h
0.265 h = 200
h = 200 / 0.265
h ≅ 754.72
PLEASE ANSWER QUICKLY WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!! Simplify [tex]4^{2}[/tex]·[tex]4^{8}[/tex]
Hey there! I'm happy to help!
When multiplying numbers with exponents, you add the numbers in the exponent. So, [tex]4^2+4^8=4^1^0[/tex]. If you plug this into your calculator, you get 1048576, which is [tex]4^1^0[/tex].
Have a wonderful day! :D
Answer:
4^10/ 4 to the 10th power
Step-by-step explanation:
4 x 4 = 16
4x4x4x4x4x4x4x4= 65536
65536(16)= 1,048,576.
Simplified, it's 4^10 or 4 to the 10th power.
Hope this helps!
What is the average of a set of numbers
Answer:
The mean is the average of the numbers
You add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
:Have a great day!
Find the slope of the line that passes through the following pair of points.
(5,8), (3,7)
Slope formula: y2-y1/x2-x1
We can use the points given to solve for the slope.
7-8/3-5
-1/-2
1/2
Best of Luck!
Which is greater and which is less 0.112 or 0.98
Answer: 0.98 is larger than 0.112.
Step-by-step explanation:
0.112 is farther away from 1 because it is smaller and 0.98 is larger and closer to 1.
solve for x: 1/5(x+2/5)=-3/25
Answer:
x=-1
Step-by-step explanation:
Answer:
x=-1
Step-by-step explanation:
Move Constant to the right
carculate the difference
HELP PLS I NEED THIS LUV U <33
A Ray y=4 . I think .If its wrong don't blame me
Find g(x+3) if g(x) = 2x² – x
If c + di is a point on the circle, then |c + di |= .
Answer:
3
Step-by-step explanation:
i guessed and got it right on edge
Answer:
yes the correct answer is 3
Step-by-step explanation:
on Edge. stats how 3 is correct. and given from the picture how 3 is the only visible number.......;-;
Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?
K = -3
Step-by-step explanation:1. Simplify -k-4k to -5k
-5k=3(k-10)-6(k-6)
2. Distribute Parentheses/Expand
-5k=3k-30-6k+36
3.Simplify 3k-30-6k+36 to -3k +6
-5k=-3k+6
4. Add 3k to both sides
-5k+3k=6
5. Simplify -5k+3k to -2k
-2k=6
6. Divide both sides by -2
k=-6/2
7. Simplify 6/2 to 3
k=-3
What are the two binomials for the expression x(x − 8) − 9(x − 8)?
The two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).
What are the binomials expression ?
The expression x(x − 8) − 9(x − 8) can be simplified as follows:
x(x − 8) − 9(x − 8) = x² - 8x - 9x + 72
= x² - 17x + 72
To find the two binomials, we need to factor the expression [tex]x^2 - 17x + 72[/tex]. We can do this by finding two numbers that multiply to 72 and add to -17. Those numbers are -8 and -9. Therefore, we can write:
[tex]x^2 - 17x + 72 = (x - 8)(x - 9)[/tex]
Hence, the two binomials for the expression x(x − 8) − 9(x − 8) are (x - 8) and (x - 9).
To learn more about binomials expression, Visit
https://brainly.com/question/13672615
#SPJ1
Another algebra question :/
Answer:
1
Step-by-step explanation:
Co-efficient means the integer in front of the variable
The co-efficient for -4x^3 would be -4 like that
Answer:
1
Hope it helps
I am sure about that
please help me, appreciated if you do :)
Answer:
6x-8=2x+4
6x-2x=8+4
4x=12
x=3
What type of number is this?
0.707070...
A. Rational and terminating
B. Irrational
C. Rational and repeating decimal
Answer:
C.
Step-by-step explanation:
A repeating decimal is always rational I think.
I hope this helps!
Section 2 Topic 3 Homework
Question 2 of 4
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based
on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for
hardcover books?
Your answers
Answer:
65$
Step-by-step explanation:
Section 2 Topic 3 Homework
Question 2 of 4
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based
on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for
hardcover books?
