domain of (f.g)(x) is {x l x ≠ 13} i.e option (c) where f(x) = x+7 and g(x) = 1/(x-13)
What is domain of function?Domain of a function is defined as all those values of x that can be substituted in function for which function is defined.
Given: f(x) = x+7
g(x) = 1/(x-13)
First we need to find (f.g)(x) i.e multiplication of f(x) and g(x)
(f.g)(x) = (x+7) ×1/(x-13) = \(\frac{x+7}{x-13}\)
Domain of function is values of x over which function is defined
For (f.g)(x) it is defined at all values of x except when x-13=0 as at this point denominator will be zero and function will become infinite that is not defined.
So, x - 13 ≠ 0
Adding 13 on both sides, we get
x ≠ 13
So domain of (f.g)(x) is x∈R - {13} i.e {x | x≠ 13}
Hence, option (c) is correct answer.
Learn more about domain here:
https://brainly.com/question/2264373
#SPJ1
Put these numbers in order from greatest to least.
1 6/8,-10/25,-18/25,1
\(\textsf{Hey there!}\)
\(\textsf{Put these numbers in order from GREATEST to LEAST}\)
\(\bullet{\mathsf{ \ 1\dfrac{6}{8}}}\)
\(\bullet\mathsf{\ -\dfrac{10}{25}}\)
\(\bullet{\mathsf{\ -\dfrac{18}{25}}}\)
\(\bullet{\textsf{ 1}}\)
\(\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left}\) \(\textsf{of 0)}\)
\(\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right}\) \(\textsf{of 0)}\)
\(\textsf{Now we can answer your question}\)
\(\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}\)
\(\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}\)
\(\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}\)
\(\blacksquare \ \mathsf{1 = 1}\)
\(\textsf{Look carefully at the stuff converted to the decimal or regular number \& }\) \(\textsf{you will have your answer from \underline{greatest} to \underline{least}}\)
\(\boxed{\textsf{If you solved correctly you SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\ -\dfrac{18}{25}}}}}\checkmark\)
\(\textsf{Good luck on your assignment and enjoy your day!}\)
~\(\frak{LoveYourselfFirst:)}\)
Need help please find all three answers
Answer:
What are we supposed to do
Step-by-step explanation:
Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8
(08.01 LC)Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi.(1 point)
The area of a circle can be calculated using the following formula:
\(A=\pi r^2\)Where
A represents the area
r represents the radius of the circle
π is the number pi, you have to use 3.14 for the calculatins
You have to calculate the area of a circle that has a diameter of 20 inches. The radius of a circle is half the diameter:
\(\begin{gathered} r=\frac{d}{2} \\ r=\frac{20}{2} \\ r=10in \end{gathered}\)The area of the circle can be determined as follows:
\(\begin{gathered} A=3.14\cdot10^2 \\ A=314in^2 \end{gathered}\)The area of the circle is 314in²
The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost
Solve
\((6+v)(5v+4)=0\)
Answer:
v = -6 v = -4/5
Step-by-step explanation:
(6+v) ( 5v+4) = 0
Using the zero product property
6+v =0 5v+4 =0
v = -6 5v = -4
v = -6 v = -4/5
Which are ways to write 1/12 as a percent. Explain how you found your answer.
8 1/3%
12%
1.2%
8.4%
8.3¯¯¯%
1.12%
Question 2
First, find a way to write Response area as a fraction with a denominator of Response area. Because 12×Response area =100, multiply both the numerator and the denominator by Response area. Then write the result as a decimal number or a Response area number.
2. The sum of two numbers is 52. The
difference of the two numbers is 6.
What are the numbers?
Answer:
29 and 23
Step-by-step explanation:
Step 1: rewrite the sentences as equations:
equation 1: x+y=52
equation 2: x-y=6
Step 2: add those two equations together to get:
2x=58
x=29
Step 3: substitute x in one of the first equations to get y:
29-y=6
y=23
Step 4: Check with the other equation:
x+y=52
29+23=52✔
Which point is located at -1 3/8?
Point C is located at -1 3/8
Hope that helps!
Chandler decided to go cliff jumping into the lake at his cottage. He started on the cliff at 32 ft above sea level. He jumped for 40 feet! How far below sea level did Chandler end up?
Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.
Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.
Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):
32 feet - 40 feet = -8 feet
It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level
For more such questions on feet
https://brainly.com/question/30403118
#SPJ8
Answer:
-8 feet
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Does the series converge or diverge? If it converges, what is the sum? Show your work.
Step-by-step explanation:
This is a geometric series where our common ratio is -1/2, and a is -4
Since r is less than -1, this series converges so
The sun is
\( \frac{ - 4}{1 + 0.5} \)
\( \frac{ - 4}{1.5} = - \frac{8}{3} \)
The sum is -8)3
Two ropes are attached to a wagon, one horizontal to the west with a tension force of 30N, and the other east and at an angle of 30 degrees northward and a tension force of 40 N. Find the components of the net force on the cart. Show all work.
The net force on the cart is 62N
and the vertical component =36.64 N
the horizontal component= 50N
What is revolution of vector?
The process of splitting a vector into its components is called resolution of the vector. We resolve a vector into two components which are. component along the x-axis called horizontal component. component along the y-axis called vertical component
30N tension on the cart is westward which mean the vertical component will be 0 and the horizontal component will be 30N.
40N tension isN 30° E which means
the vertical component= 40 sin60=36.64N
Horizontal component= 40 cos 60= 20N
sum of vertical = 36.64N +0= 36.64N
sum of horizontal= 30N+20N= 50N
60° was used for tension 40N because the angle of vector must always lie on the horizontal axis
therefore the net force F is obtained by using Pythagoras theorem
F= √(50^2+36.64^2)
= 62N to the nearest whole number.
learn more about resolution of vectors from
https://brainly.com/question/17369412
#SPJ1
What ratio is equivalent to 8/6
Answer:
3rd option: 32/24
Step-by-step explanation:
8/6 = 4/3
1st option: Now let's change the denominator to 24:
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
2nd option: Now let's change the numerator to 24:
4/3 ==> 24/?
4/3 =
4*6 / 3*6 = 24/18, not 24/32
24/32 = 3/4, not 4/3 ==> don't get confused by this
3rd option: 32/24 is correct [Look at the explanation for 1st option]
4/3 ==> ?/24
4/3 =
4*8 / 3*8 = 32/24, not 3/24.
Hence, the 3rd option is correct.
65 = 5 + 3/4c solve for c help pls
Answer:
c=80
Step-by-step explanation:
Answer:
c--8 that is the answer write it
calculate the following 2+2
Answer:4
Step-by-step explanation:
2+2 is 4
i dont understand this
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
Learn more about the ratio visit:
https://brainly.com/question/12024093
#SPJ1
The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?
A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined
The reasonable domain for the function is (b) x > 0
What is a reasonable domain for the function?From the question, we have the following parameters that can be used in our computation:
The function f(x) = 75x + 100
Where x is the number of hours
f(x) is the total cost.
In this case, the number of hours cannot be negative or 0
This means that the values of x in the function would be x > 0
These values of x are the domain
So, the reasonable domain for the function os (b) x > 0
Read more about domain at
https://brainly.com/question/27910766
#SPJ1
Suppose that the number of customers that enter a bank in a hour is a poisson random varialbe, and suppose that P(x=0)=0.07, Determine the mean and variance of x
The mean and the variance of the poisson distribution are;
Mean = 2.66
Variance = 1.277
How to solve Poisson Distribution problems?The formula for the PMF of a Poisson distribution is;
p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......
Thus;
p(x = 0) = [e^(-λ) * λ^(0)]/0!
e^(-λ) = 0.07
λ = - In 0.07
λ = 2.66
That is the mean
Variance is square root of standard deviation;
Variance = √√(2.66)
Variance = 1.277
Read more about Poisson Distribution at; https://brainly.com/question/9123296
#SPJ1
Answer:
2.65926003693 for mean and variance.
Step-by-step explanation:
First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.
what is the solution to the equation x^2=64
Answer: Positive and negative 8
Step-by-step explanation:
Take the square root on both sides
\(\sqrt{x^2} =\sqrt{64}\)
x = ±8
Answer:
x = - 8, x = 8
Step-by-step explanation:
\( {x}^{2} = 64 \\ \\ x = \pm \sqrt{64} \\ \\ x = \pm8 \\ \\ x = - 8, \: \: x = 8\)
The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?
Answer:
Step-by-step explanation: 462 Divided by 24 = 19.25$
Proof: 19.25 x 24 = 462
Answer: 19.25$
(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.
Answer:
Step-by-step explanation:
What is the question? Are you looking for the distance between the points?
distance = √((Δx)² + (Δy)²) = √((1-(-8))² + ((-10)-8)²) = √(9²+(-18)²) = √405 ≅ 20.12 units.
Solve for t in this equation and show steps please d = vt + 1/2(a)(t^2)
Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61
Answer:
223/29
Step-by-step explanation:
5x+3y=10 . multiply by 4
3x-4y=61 . multiply by 3
20x+12y=40
+ 9x-12y=183
_____________
29x-0y = 223 . divide both sides by 29
x = 223/29
Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain
Answer:
A = 0
__________________________________________________________
SolveAlthough the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.
0 ÷ a(0) = 0
a(0) ÷ a(0) = 0
__________________________________________________________
Questions?Ask in the comments.
solve the inequality 2(4x-3)>-3(3)+5x
Answer:
\(x > -1\\\)
Step by step explanation:
\(~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1\)
Answer please i need answer by 11:00 est
Step-by-step explanation:
2*(1/4)=0.25*2= 0.5 = (2/4)
(2/4) + (3/4)= (5/4) =
Subtract. 28.5−2.7 help
Answer:
25.8
Step-by-step explanation:
how is finding 8x3/4 similar to finding 3/4 of 8
Answer: your answer would be 6
8*3=24/4 and 24/4=6
Step-by-step explanation: Hope this help :D
Answer:
Because in order to find 3/4 of 8, you must solve for 8 * 3/4.
A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."
I would appreciate Brainliest, but no worries.
Help! I’m suppose to distribute and simplify.
-1(45p+22)-(4(9p)+11)
= −1(45p + 22) + −1(4(9p) + 11)
= −1(45p + 22) + −1(4(9p)) + (−1)(11)
= −1(45p + 22) + −36p + −11
Distribute= (−1)(45p) + (−1)(22) + −36p + −11
= −45p + −22 + −36p + −11
Combine Like Terms= −45p + −22 + −36p + −11
= (−45p + −36p) + (−22 + −11)
= −81p + −33
Adding A Negative Is The Same Thing As Subtracting So Our Answer Is:-81p - 33
- Pacific Northwest
Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
To learn more about ratios, please check: https://brainly.com/question/25927869
#SPJ1
Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation: