Answers
Answer:
a).
[tex](fog)(x) = f(g(x)) \\ = (3x + 1) + 4 \\ = 3x + 5 \\ [/tex]
b).
[tex](gof)(x) = g(f(x)) \\ = 3(x + 4) + 1 \\ = 3x + 12 + 1 \\ = 3x + 13[/tex]
c).
[tex](fog)( - 2) = 3( - 2) + 5 \\ = - 6 + 5 \\ = - 1[/tex]
d).
[tex](gof)( - 2) = 3( - 2) + 13 \\ = - 6 + 13 \\ = 7[/tex]
I hope I helped you^_^
Related Questions
Hello so can someone help me with this problem. My teacher doesn't explain it very well </3
Answers
[tex] t= 50 + \frac{n - 4}{4} [/tex]
switch sides
[tex]50 + \frac{n - 4}{4} = t[/tex]
subtract 50 from both sides
[tex]50 + \frac{n - 4}{4} - 50 = t - 50[/tex]
simplify
[tex] \frac{n - 4}{4} = t - 50[/tex]
simplify
[tex] \frac{n - 4}{4} = t - 50[/tex]
multiply both sides by 4
[tex]4 \frac{(n - 4)}{4} = 4t - 4 \times 50[/tex]
simplify
[tex]n - 4 = 4t - 200[/tex]
add 4 both sides
[tex]n - 4 + 4 = 4t - 200 + 4[/tex]
[tex] n = 4t - 196[/tex]
Find the area of the triangle
Answers
9514 1404 393
Answer:
D. 72sin(α)cos(α)
Step-by-step explanation:
Given two sides and the angle between, the area of a triangle can be found from the formula ...
Area = (1/2)ab·sin(C)
Here, that translates to ...
Area = (1/2)(12)(y)sin(α)
Using the trig relation ...
Cos = Adjacent/Hypotenuse
we can find y:
cos(α) = y/12
y = 12·cos(α)
__
Substituting this into the area calculation above, we have ...
Area = (1/2)(12)(12·cos(α))sin(α)
Area = 72sin(α)cos(α)
What is [tex]|x-6|[/tex] given that [tex]x \geq 6[/tex]
Answers
Answer:
[tex]\mid x-6 \mid \geq 0[/tex]
Step-by-step explanation:
We have two options for x; it is either 6 or greater than 6:
If [tex]x=6\\[/tex], [tex]\mid x-6 \mid = \mid 6-6 \mid = \mid 0 \mid = 0\\[/tex].
If [tex]x > 6[/tex], [tex]\mid x-6 \mid > \mid 6-6 \mid[/tex] => [tex]\mid x-6 \mid > 0[/tex].
(for example, if [tex]x=7\\[/tex], [tex]\mid x-6 \mid = \mid 7-6 \mid = \mid 1 \mid = 1 > 0[/tex])
So, [tex]\mid x-6 \mid = 0[/tex] or [tex]\mid x-6 \mid > 0[/tex]; [tex]\mid x-6 \mid \geq 0[/tex].
Help Please For Math Class
Answers
Answer:
the answer is B D and A.
Step-by-step explanation:
(ignore) hshehshsnebajjsjanananahabsn
Solve: |x+2|−1≥5. Write your solution in interval notation.
Answers
nswer:
Step-by-step explanat
|x+2| - 1 ≥ 5
|x+2| ≥ 5+1
|x+2| ≥ 6
x+2 ≥ 6 hoặc x+2 ≤ -6
+ với x+2 ≥ 6 x ≥ 6 – 2 x ≥ 4
+ với x+2 ≤ -6 x ≤ -6 – 2 x ≤ -8
(-∝;-8)∪(4;+∝)
Thank you for all the help
Answers
Base=7
Answer:
15½² +b²=8²
15+b²=64
b²=49
b=7
3. Diya's chances of winning the game are
only 40%.
Express this as a probability fraction.
Answers
Answer:
2/5
Step-by-step explanation:
40% as a fraction is 4/10, when this fraction is simplified, it ends up as 2/5.
The probability of the event that Diya's chance of wining the game is 0.4 or 2/5.
What is probability of an event?The probability of an event is the chance of happening that particular event.
Let, Diya can play a game 100 times.
Therefore, the number of times she can win the game is 40.
Let, D = the event that Diya is participating in the game.
Therefore, the probability that Diya will win the game is
[tex]= P(D)\\= \frac{40}{100}\\ = \frac{2}{5}\\ = 0.4[/tex]
Learn more about probability of an event here: https://brainly.com/question/22478862
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What is the distance between -4.2 and 9.1
Answers
Answer: 13.3
Step-by-step explanation:
9.1-(-4.2)
Which number is the best approximation for π/3 : 1, 1.03, 1.05, or 1.07?
Answers
Answer:
1,05
Step-by-step explanation:
9514 1404 393
Answer:
1.05
Step-by-step explanation:
The relative errors are ...
1 : -4.5%1.03 : -1.6%1.05 : +0.3%1.07 : +2.2%Of these choices, the best approximation is 1.05.
_____
A very good rational approximation of π is 355/113, which has a relative error of about 0.0000085%. This makes 355/339 a good approximation of π/3.
The relative error in the value n is ...
(3n/π -1) × 100%
is the square root of 81 an integer number
Answers
Answer:
yes it is a integer number.
After how many years are the salaries offered by Company A and Company B the same?
The salaries for Company A and Company B will be the same after _____
years.
Answers
Answer:
Step-by-step explanation:
24,000 = 24 thousands
30,000 = 30 thousands
3,000 = 3 thousands
2,4000 = 2.4 thousands
"x" years
24 + 3x = 30 + 2.4x
3x - 2.4x = 30 - 24
0.6x = 6
x = 10 years
change 12 1/2% to a declmal and then to a fraction in its lowest terma
[tex]change 12 \: 1 \2 \: to \: a \: declmal \: and \: then \: to \: a \: fraction \: in \: its \: lowest \: terma [/tex]
Answers
The lowest terma of this number is 1/8. If you use 1 divide by 8, you would get 0.125.
Hope it helps!
Which set of three numbers could be the side length of a triangle. A) 5,5,10 B) 3,3,8 C) 5,5,14 D) 3,3,2
Answers
Answer:
B, C
Step-by-step explanation:
Chow,...!
The average walking speed of a person is 4.8 kilometer per hour . Estimate the number of kilometer you could walk in 3 hours
Answers
Answer:
14.4 kilometers, not an estimate tho
Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set {99, 72, 86, 80, 96, 87, 79, 87). Which 5-number
summary represents the data set? (2 points)
A {72, 79, 86, 96, 99)
b {72, 79.5, 86.5, 91.5, 99}
c {72, 79, 83, 87, 96)
d {72, 79, 86, 87, 96)
Answers
Answer:
{72, 79.5, 86.5, 91.5, 99}
Step-by-step explanation:
I took the quiz and got it correct.
Minimum is 72
Maximum is 99
Q1 is 79.5
Q3 is 91.5
Median is 86.5
So the 5-number summary is {72, 79.5, 86.5, 91.5, 99}
3x + 4y - 2x + 10y please I need help
Answers
Answer:
x+14y
Step-by-step explanation:
Collect like terms. It simplifies into x+14y
!!!!please help i’m so confused
Answers
Answer:
52
Step-by-step explanation:
Answer:
total Area= 168, Permiter= 42
Step-by-step explanation:
correct me if I'm wrong
I need help in 7th grade math
Answers
Answer:
27
Step-by-step explanation:
first, you multiply:
6×7-3(4+1)
42-3(4+1)
now add:
42-3(4+1)
42-3×5
Multiply again:
42-3×5
42-15
calculate:
42-15=27
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large\sf \: 6 \cdot 7 - 3 ( 4 + 1 )[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large\sf \: 6 \cdot 7 - 3 ( 4 + 1 )[/tex]
Multiply 6 and 7 to get 42.[tex] \large \sf42-3\left(4+1\right) [/tex]
Add 4 and 1 to get 5.[tex] \large \sf42-3\times 5 [/tex]
Multiply 3 and 5 to get 15.[tex] \large \sf42-15 [/tex]
Subtract 15 from 42 to get 27.[tex] \large \boxed{\boxed{\boxed{ \mathfrak{ \bold{27} \: is \: the \: correct \: answer}}}}[/tex]
Solve the equation and check.
5
n-3 n +5
+
4 7
14
..
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
O B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Answers
Answer: the solution is [tex]n=\frac{51}{11} \\\\\\n=4\frac{7}{11} \\\\n=4.63[/tex]
i gave you the decimal and improper fraction
Step-by-step explanation:
Mutiply both sides by 28
7(n-3)+4(n-5)=10
distribute the 7
7n-21+4(n-5)=10
distribute the 4
7n-21+4n-20=10
combine like terms
11n-21-20=10
11n-41=10
11n-51
n=51/11
Solving one step equation x/10=3
Answers
Answer:
30
Step-by-step explanation:
X = 3 × 10
x = 30
Mark me brainlist
Find the lest number which is exactly divisible by 36 & 90 Maths
Answers
Answer:
180Step-by-step explanation:
You need to find the HCF of 36 and 90.
Prime factors of each:
36 = 2*2*3*390 = 2*3*3*5HCF includes all prime factors of both numbers:
HCF(36, 90) = 2*2*3*3*5 = 180To find the least number,
Which is exactly divisible by 36 and 90. We have to find the HCF of 36 and 90.
→ 36 = 2 × 2 × 3 × 3
→ 90 = 2 × 3 × 3 × 5
Then the required HCF will be,
→ 2 × 2 × 3 × 3 × 5
→ 180 (HCF)
Thus, 180 is the least number which is exactly divisible by 36 and 90.
what is statistics ???
explain !!!
Answers
Answer:
what is statistics ???
explain !!!
Step-by-step explanation:
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest
15) Darla's marching band needs money to travel to a competition. Band
members have raised $580. They need to raise a total of $1660. Write
and solve an equation to find how much more they need.
Answers
Step-by-step explanation:
$1660-$580= $1,080
Answer:
1660 minus 580
Step-by-step explanation:
they have already raised 580. so get 1660 is to subtract 1660 to 580
Please help me with this question
Answers
Answer:
Can you take a better picture
Step-by-step explanation:
a) What is 85% of 350?
b) What is 22% of 600?
Answers
Answer:
a)297.5
b)132
Step-by-step explanation:
85% of 350 = 0.85 * 350 = 297.5
22% of 600 = 0.22 * 600 = 132
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
a. 297.5
b.132
Step-by-step explanation:
basically you multiply the numbers then move the decimal twice to the left.
Example: 85x350 = 29750
=297.5
an airplane travels 3269 miles in 4 hours. what is the airplanes average speed?
Answers
Answer:
817.25 mph is the plane's avg speed
Step-by-step explanation:
Average speed is MPH (miles per hour)
SInce the plane travels 3269 miles in 4 hours, find the unit rate
[tex]\frac{3269}{4}[/tex]
Divide by 4
817.25 mph is the plane's avg speed
Does the following represent a function?
f = [ (3, -1), (2, 5), (4, -6), (3, 4), (5, -8) ]
Answers
Answer:
Not a function
Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.
If f(x) = 3x - 4 and g(x)=x?, find the value of
f(3) - g(2)
A) 4
B) 9
C) 1
D) 7
Answers
Answer:
C) 1
Step-by-step explanation:
f(x) = 3x - 4 when x = 3
= 3(3) - 4
= 9 - 4
= 5
g(x) = x^2 when x = 2
= 4
Subtract both values.
5 - 4 = 1
Best of Luck!
Simplify:
4(5y+9)
56y
9y + 13
20y + 36
I don't know.
Answers
Answer:
20y + 36
Step-by-step explanation:
Distribute the 4 to everything in the parenthesis (multiply).
4 x 5y = 20y
4 x 9 = 36
The solution of the expression 4(5y + 9 ) will be 20y + 36. The correct option is C.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression 4(5y+9) will be solved as below:-
E = 4 ( 5y+9 )
E = 20 y + 36
Therefore, the solution of the expression 4(5y + 9 ) will be 20y + 36. The correct option is C.
To know more about an expression follow
https://brainly.com/question/723406
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Lucy took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $3.80 plus $3 per mile. The total fare was $39.80, not including the tip. Write
and solve an equation which can be used to determine x, the number of miles in the
taxi ride.
Answers
Answer:
if you do 39.80/3 it would give you 13.2667 miles and since the tip was not added thats when you dont do anything with that number and 3 because every mile you pay 3$
Step-by-step explanation:
