The function f(g) is 8/(8+9x) and the function g(f) is -8x/(x-9).
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(x)=x/(x-9) and g(x)= -8/x.
1) f(g)
Here, f(-8/x)= -8/x ÷ (-8/x -9)
= -8/x ÷ (-8-9x)/x
= -8/x × x/(-8-9x)
= 8/(8+9x)
2) g(f)
Now, -8/x/(x-9)
-8x/(x-9)
3) f(f)
Here, f(f) = x/(x-9) ÷ (x/(x-9) -9)
= x/(x-9) ÷ ((x-9x+81)/(x-9))
= x/(x-9) × (x-9)/(-8x+81)
= x/(-8x+81)
4) g(g)
Now, -8/(-8/x)
= 64/x
Therefore, the function f(g) is 8/(8+9x).
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Find m P. Quadrilateral
Answer:
m∠P = 107º
Step-by-step explanation:
Since two sides are parallel this is a trapezoid
In a trapezoid, the angles on the same leg (called adjacent angles) are supplementary, meaning they add up to 180 degrees.
(7x + 31) + (21x - 19) = 180
combine like terms
28x + 12 = 180
Subtract 12 from both sides
28x = 168
Divide both sidees by 28
x = 6
m∠P = 21x - 19
m∠P = 21(6) - 19
m∠P = 107º
Pls help I’m rlly confused. The question says “find the value of x using complementary angels” ty <3
Answer:
x=83. please look below for explanation. if anything isn't clear, please ask
Step-by-step explanation:
so complementary means adding up to 90 degrees in math. in this particular equation, you have to make sure that both (x-18) and 25 add up to 90.
if that other side is 25 degrees, the other side must be 65 because 90-25=65.
so now you have to set those equal to each other like this:
65 = (x-18) now just solve for x
add the 18 to the other side. the -18 and +18 cancel.
x=83
so to test and to see if that is right, we can do
83-18 = 65
does 65+25 equal 90? yes
therefore, x=83
PLEASE HELP 30 POINTS
Answer:
Step-by-step explanation:
it's asking what is the y out put.. if you added the green line with the red line at the input of 2. I feel like graph math ever clearly states what they want you to understand or give an answer to. you are just supposed to "get it" and most people don't just "get it". anyway.. so add the red lines y value at the x of 2 with the green lines y value at 2
0+2 =2
I also feel like the answer to made to totally confuse people too. b/c of how how when you input a 2 and add the two graphs, you also get a 2 , it's just circular and confusing.
2 is the answer BTW :p
Triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.
Which of the following sequences of transformations maps XYZ onto ABC?
Sequence A: A translation 2 units to the right and 10 units up, then a reflection over the line AC.
Sequence B: A translation 6 units to the right and 6 units up, then a 180° rotation about point B.
Choose 1 answer:
A: Only sequence A
B: Only sequence B
C: Both
D: Neither
Answer:
Only sequence B
Step-by-step explanation:
Got the answer from Khan Academy.
A translation 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
It is given that triangles XYZ and ABC are congruent. The side length of each square on the grid is 1 unit.
In the figure, we can see the translation 6 units to the right and 6 units up, then a 180° rotation about point B.
Therefore, the translation is 6 units to the right and 6 units up, then a 180° rotation about point B. The correct option is B.
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Five weeks after the introduction of a new toy, the manufacturer found that the demand for the toy was modeled by f(x) = x^2 +5x+4/x^2+6x-7 - 1/x , while the company s supply capability was modeled by g(x) = - 0.89x^2 +850x -50/(800x+70.5. Here x is the number of weeks the toy has been on the market, and values of f(x) and g(x) are in millions of toy units. About how many weeks after the toy was introduced did supply equal demand? Round to the nearest whole number of weeks.
Answer:
76 weeks
Step-by-step explanation:
smldknsdljfisdiofidslfofnjfniour
Write the equation of the line that passes through the points (0,8) and (-1, –4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
Step-by-step explanation
First, let's remember the equation for point-slope form and how to find the 'm' value:
[tex]y-y1 = m (x-x1)\\m = rise/run\\m = \frac{-4-(8)}{-1-(0)} = 12[/tex]
Now plug your m value and (x1, y1) into point-slope form:
[tex]y - 8 = 12(x-0)\\reduce\\y=12x+8[/tex]
I need help with question
Answer:
20
Step-by-step explanation:
Scale factor = 8/16 = 1/2
So, 10/x = 1/2
x = 10*2
x = 20
Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.
Calculate the sample mean and sample variance for the following distribution of heights in centimeters for an 8 year old boy
Answer: To calculate the sample mean of a distribution, you add up all the values and divide by the number of values in the sample. The sample mean is also known as the average.
The formula for the sample mean is:
X-bar = (X1 + X2 + ... + Xn) / n
To calculate the sample variance of a distribution, you first need to calculate the sample mean. Then, for each value, you subtract the sample mean and square the result. You add up all these squared differences, and divide the sum by the number of values in the sample.
The formula for the sample variance is:
s^2 = ( (X1 - X-bar)^2 + (X2 - X-bar)^2 + ... + (Xn - X-bar)^2 ) / (n - 1)
It would be helpful to have the sample data, however I cannot complete this task without it.
Please provide me with the data.
Step-by-step explanation:
Arnold has 4 pitchers. Each pitcher holds [tex]\frac{7}{8}[/tex] gallon of juice. Which equation can Arnold use to determine the number of gallons of juice in the pitchers?
Answer:
4 * 7/8
Step-by-step explanation:
It's asking to multiply.
What is XY?
help me please
here x = option c and here y= option a
Khan academy. ??????? Math
Answer:
Step-by-step explanation:
There should be a video to help you probably says something like hint? then click there
Answer:
They have videos you can watch
Step-by-step explanation:
those videos will help explain them better and show you exactly how to do that problem
Can someone help me please
Find the solution to the system of equations.
y=-2x+7
y=5x-7
write two equivalent expressions one exponential and one a product of factors, for 4 to the 5th power evaluate the expressions
Answer:
4^5 = 1024
4×4×4×4×4 = 1024
Step-by-step explanation:
An exponential expression is going to have an exponent representing the repeated multiplication. 4 times itself 5 times over is 4^5.
A product of factors is going to show the multiplication written out sort of in a long format:
4 × 4 × 4 × 4 × 4
4^5 = 1024
4×4×4×4×4 = 1024
HELP ASAP PLS
Question 2 of 5
Select all the correct answers.
Which expressions are prime polynomials?
Answer: There is no picture
Step-by-step explanation:
Can some one tell me what 132 divided by 12 is I’m so embarrassed
132 divided by 12 is equal to 11 with a remainder of 2.
To perform the division, you can use long division:
Step 1: Set up the division equation:
_______
12 | 132
Step 2: Identify how many times 12 can fit into the first digit of 132 (1). Write the quotient (result) above the line:
11
_______
12 | 132
Step 3: Multiply the divisor (12) by the quotient (11) and write the result below the first part of the dividend:
11
_______
12 | 132
- 12
_______
Step 4: Subtract the result from step 3 from the first part of the dividend (132 - 12 = 120). Write the new result below the line:
11
_______
12 | 132
- 12
_______
120
Step 5: Bring down the next digit of the dividend (in this case, the digit "3") and put it next to the remainder (120):
11
_______
12 | 132
- 12
_______
120
3
Step 6: Determine how many times 12 can fit into 120. The answer is 10. Write the new quotient digit (10) above the digit "3":
11
_______
12 | 132
- 12
_______
120
3
_______
110
Step 7: Multiply the divisor (12) by the new quotient digit (10) and write the result below the second part of the dividend:
11
_______
12 | 132
- 12
_______
120
3
_______
110
- 108
_______
Step 8: Subtract the result from step 7 from the second part of the dividend (110 - 108 = 2). Write the new result below the line:
11
_______
12 | 132
- 12
_______
120
3
_______
110
- 108
_______
2
Step 9: There are no more digits to bring down from the dividend, and the remainder is less than the divisor. The division process is complete.
The final result is the quotient (11) with a remainder of 2. So, 132 divided by 12 is 11 with a remainder of 2.
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The average amount of time to finish this quiz is 26 minutes with a standard deviation of 1.2 minutes. What is the probability that you will finish this quiz in 27.8 minutes or less?
Answer:What is the probability that you will finish this quiz in 23.84 minutes or less?
0.03593
Write your answer as a percentage with 2 decimals
= 3.59%
Step-by-step explanation:
The z score formula is given as:
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Mean = 26 minutes
Standard deviation = 1.2 minutes.
please answer in full process
questions
Given L || M find the value of unknown angles in each of the following figures
Answer:
Angle x = 120 degrees
Angle y = 60 degrees
Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.
my mom will kill me please help
If the perimeter of the triangle is 64 units, then the length of the side PR is 24 units.
What is a Triangle?This is referred to as a three-sided polygon that consists of three edges and three vertices and the longest side is referred to as the hypotenuse.
The perimeter of a triangle is the sum of all the sides which is:
P = a + b + c
64 = 3x +4x - 1 + x + 1
64 = 8x
x = 64/8 = 8 units
Therefore the length of side PR is :
3x = 3 (8) = 24 units.
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Write the equation of the ellipse with a center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
On solving the provided question we can say that - the value of the ellipse will be (5+ , root5)
what is ellipse?In mathematics, an ellipse is a planar curve that encompasses two focus points and ensures that the sum of the two distances from any point on the curve to the focal points is constant. In doing so, the circle—a particular variety of ellipse with two equal focus points—is generalized. The ellipse, whose eccentricity is less than 1, indicates the area containing the points whose distances from its two foci add up to a certain amount. Running tracks in sporting arenas and 2D egg forms are two straightforward examples of ellipses in daily life.
here we have,
center at (5,-2), one vertex at (2, -2) and a focus at
(5+ √5,-2)
so the answer is (5+ , root5)
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The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Use alpha = 0.05.
1. The test statistic is a:____.
a. 1.96.
b. 1.64.
c. 2.00.
d. 0.056.
2. The p-value is:____.
a. 0.0456.
b. 0.0482.
c. 0.4772.
d. 0.9759.
e. 0.9772.
3. At the 5% level, you:___.
a. fail to reject the null hypothesis.
b. reject the null hypothesis.
4. Compute the probability of a Type II Error when mu = 2.8.
Answer:
a
Step-by-step explanation:
The foot, the pound, and the gallon are all example of ______ units. This system of measurement was first devised in England
can someone help i will give brainliest
Answer:
24
Step-by-step explanation:
the rate of change is represented by the 24, just like in the slope-intercept equation y = mx + b, where "m" represents the slope, or rate of change.
At the store you have 2 options for Speedy Clean Laundry Detergent. One bottle costs $4.99 for 50 fl . oz The other bottle costs $7.50 for 90 fl. oz Which is the better buy?
Answer: the bigger bottle (90 fl. oz) is better value
Step-by-step explanation:
One method is to scale the quantities up to the same value.
The LCM (lowest common multiple) of 50 and 90 is 450
9 of the smaller bottle will cost $44.95 and contain 450 fl. oz
5 of the bigger bottle will cost $37.50 and also contain 450 fl. oz
A second method is to find the cost per (say) 10 fl. oz from each bottle
In the 50 fl. oz bottle each 10 fl. oz costs 4.99 / 5 = $0.998
In the 90 fl. oz bottle each 10 fl. oz costs 7.50 / 9 = $0.8333...
What is the surface area of the rectangular prism shown below?
A. 159 in2
B. 294 in2
C. 318 in2
D. 378 in2
Answer:
I am sure the answer is 300
what is the measurement of the x
Answer:
55°
Step-by-step explanation:
Total: 90°
90° - 35°
55°
Estimate the measure of ∠FBE in the diagram.
10° ,
30°
90°
80°
Answer:
Im not sure but I think it's 30⁰
please help will give brainliest
Answer:
52 cm^2
Step-by-step explanation:
1) find the area of the rectangle
A = base x width = 8 x 5 = 40 cm^2
2) find the area of the triangle
A = (base x height)/2 = (8x3)/2 = 12 cm^2
3) find the total area
A = 40 + 12 = 52 cm^2
Answer:
52 cm^2Step-by-step explanation:
Area = 8 x 5 + 4 x 3 x 1/2 x 2
Area = 40 + 12 x 1/2 x 2
Area = 40 + 6 x 2
Area = 40 + 12
Area = 52
Hope that helps! :)
-Aphrodite
Carter ran 7/8 mile in a race. Taylor ran 1/4 mile. How much further for carter run than Taylor?
Answer:
1 17/20 is the answer
Answer:
5/8
Step-by-step explanation:
1/4=2/8
7/8-2/8=5/8
The following table shows the scores of three Redbirds and the Rockets in the first six games of the basketball season.
Part A:
Which team had the higher average (mean) score? What was it?
Part B:
Which team had the higher median score? What was it?
Part C: Which team had the higher range? What was it?
PLEASE don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest :)
Answer:
Step-by-step explanation:
1) mean: sum the values and divide for how many they are
Red birds: (87+94+99+85+106+111)/6 = 97
Rockets : (93+107+87+89+108+92)/6 = 96
the Red birds have the higher mean, that is 97
2) median
set the numbers from the least to the greatest and check the number in the middle
Red birds: 85, 87, 94, 99, 106, 111
there are two numbers in the middle, so we have to added up them and divide the result by two
median = (94 + 99)/2 = 96,5
Rockets = 87, 89, 92, 93, 107, 108
median = (92+93)/2 = 92,5
the Red birds have the higher median, that is 96,5
3) range: difference between the highest and the lowest value
Red birds = 111 - 85 = 26
Rockets = 108 - 87 = 21
the Red birds have the highest range, that is 26