Answers
Answer:
• (b)(g o f)(0) = 6
,• (c) (f o g)(-1) = 2
,• (d) (f o g)(4)= 1
Explanation:
Part B: (g o f)(0)
\(\begin{gathered} (g\circ f)(0)=g[f(0)] \\ \text{From the graph, f(0)=1. Therefore:} \\ (g\circ f)(0)=g[1] \\ \implies(g\circ f)(0)=6 \end{gathered}\)The value of (g o f)(0) is 6.
Part C: (fog)(-1)
\(\begin{gathered} (f\circ g)(-1)=f[g(-1)] \\ \text{ From the graph, }g(-1)=5 \\ (f\circ g)(-1)=f[g(-1)]=f(5) \\ \implies(f\circ g)(-1)=2 \end{gathered}\)The value of (f o g)(-1) is 2.
Part D: (f o g)(4)
\(\begin{gathered} (f\circ g)(4)=f[g(4)] \\ \text{ From the graph, }g(4)=4 \\ \text{ Therefore: }(f\circ g)(4)=f[g(4)]=f(4) \\ \implies(f\circ g)(4)=1 \end{gathered}\)The value of (f o g)(4) is 1.
Related Questions
Which relationship is a function?
teachers and their pets
Output
Input
January
30 tons
Ms. Valverde
Mr. Fanning
February | 28 tons
March
25 tons
dog
cat
fish
Input
Output
Input
Output
И
3
9
10
12
13
Answers
Step-by-step explanation:
these are the functions
and the others are not a functions because the domain can't match to more than one
The relationship, (January, 30), (February, 28), and (March, 25) is a function.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
We know, A relation from a set A to a set B is a function if no two distinct ordered pairs have the same x-coordinate value.
Or a relation is a function if each input has a different output.
From the given options, Option (I) is a function as the ordered pairs are,
(January, 30), (February, 28) and (March, 25).
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Please someone help me (NO LINKS) (NO LYING) PART 2
Answers
Answer: 7 = 12. 8 = 20. 9: 30 10 = 12. 11 = 24 12 = 15.
Step-by-step explanation:
Hope this helps :D I'm pretty sure they are all right if there not I'm sorry I tried
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Answers
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
Aa jaao saare ieu-vvkj-xra
Answers
Answer:
igjdvebdmfjh
Step-by-step explanation:
mark me as brainliest
This site is only for education related questions. You should only answer or ask questions. That's what we are here for. Whoever is reading this answer, please spread it to stop people from zooming, hurting others, posting non-related to education, or just communicating with others because this is not what Brainly is for. Thank you.
Thomas traveled north 24 miles and then 15 miles west. Find the shortest distance between the start and end points. 15 miles O 24 miles 28.3 miles 32.8 miles Thomas traveled north 24 miles and then 15 miles west . Find the shortest distance between the start and end points . 15 miles O 24 miles 28.3 miles 32.8 miles
Answers
The distance between the start and end points is 28.3 miles.
How to find the distance?
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
\(d = \sqrt{(x_1 - x_2)^2 + (y_2 -y_1)^2}\)
Here the initial point is (0mi, 0mi).
If we define the north as positive y-axis and east as the positive x-axis, after that Thomas travels 24 miles north and 15 miles west his new position is:
(-15mi, 24mi).
The distance is then:
\(d = \sqrt{(-15mi - 0mi)^2 + (24mi - 0mi)^2} = 28.3mi\)
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how do u write an equation in slope intercept form to describe a graph
Answers
Answer:
y= mx+b BRAINLIEST PLEASE
Step-by-step explanation:
11. 1. What value of x makes the equation 3x - 6 = 9 true?
Answers
Answer:
5
Step-by-step explanation:
6+9=15
15/3=5
Suppose A and B are events with P(A) = 1/4, P(B) = 1/3 and P(A cup B)= 1 2 a ) Find P(A cap B) b) Find P(A|B)
Answers
Answer:
Step-by-step explanation:
1 3/5 divided by 2/5
Answers
Answer:
4
Step-by-step explanation:
1 3/5 ÷ 2/5
Change the mixed number to an improper fraction
( 5*1+3)/5 ÷ 2/5
8/5 ÷ 2/5
Copy dot flip
8/5 * 5/2
Rewriting
8/2 * 5/5
4*1
4
Which of the following is a point-slope equation of a line that passes through
the points (5, 2) and (-1,-6)?
A. y-2-(x-5)
B. y-2--(x-5)
C. y-2-(x-5)
D. y-2--(x-5)
Answers
The point-slope equation of a line that passes through the points (5, 2) and (-1,-6) include the following: B. y - 2 = 4/3(x - 5).
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-6 - 2)/(-1 - 5)
Slope (m) = -8/-6
Slope (m) = 4/3.
At data point (5, 2) and a slope of 4/3, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 4/3(x - 5)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Consider the following amortization schedule:
Payment # Payment Interest Debt Payment
1
966.45
750.00 216.45
2
966.45 748.92 217.53
3
966.45
y
Balance
149,783.55
149,566.01
With the exception of column one, all amounts are in dollars. What is starting principal of the loan? Give your answer in
dollars to the nearest dollar. Do not include commas or the dollar sign in your answer.
Answers
The starting principal of the loan based on the amortization schedule is $150,000 with periodic payments of $966.45, made up of both interest and debt repayment.
How is the starting principal of the loan determined?Arranging the amortization schedule properly as below shows that the balance after the first loan repayment is $149,783.55.
The repayment amount in the first period is $216.45.
When the loan balance after the first loan repayment is added to the first loan payment, it gives a total of $150,000 ($149,783.55 + 216.45), being the initial or starting loan principal.
Data and Calculations:Payment # Payment Interest Debt Payment Balance
1 966.45 750.00 216.45 149,783.55
2 966.45 748.92 217.53 149,566.01
3 966.45
y = Balance + Debt Payment for Period 1
= $150,000 ($149,783.55 + 216.45)
We can also compute the monthly interest rate as ¹/₂% ($750/$150,000 x 100), while the annual interest rate is 6% (12 x ¹/₂%).
Thus, the starting principal of the loan based on the amortization schedule is $150,000.
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The mean of the distribution is 77.3 and the standard deviation is 4.8
Answers
In statistics, the 68–95–99.7 rule, also known as the empirical rule, is a shorthand used to remember the percentage of values that lie within an interval estimate in a normal distribution: 68%, 95%, and 99.7% of the values lie within one, two, and three standard deviations of the mean, respectively.
Given:
\(\begin{gathered} \operatorname{mean}\text{ = 77.3} \\ \text{standard deviation = 4.8} \end{gathered}\)From the given curve, we can assume the extreme values are three standard deviations of the mean since the shaded area covers almost all parts of the curve i.e :
\(z\text{ =3 or -3}\)Using the formula for z-score, we can find the extreme points:
\(\begin{gathered} z\text{ = }\frac{x-\psi}{\sigma} \\ \text{where }\psi\text{ is the mean and} \\ \sigma\text{ is the standard deviation} \end{gathered}\)Substituting we have:
\(\begin{gathered} 3\text{ =}\frac{x_1-77.3}{4.8} \\ x_1-77.3=14.4 \\ x_1\text{ =91.7} \end{gathered}\)\(\begin{gathered} -3\text{ = }\frac{x-77.3}{4.8} \\ x-77.3\text{ = -14.4} \\ x\text{ =62.9} \end{gathered}\)Hence,
The percentage of total area shaded is 99.7%
The left and right values are 62.9 and 91.7 respectively
someone help solve this! f + 1 1/2 = 4 1/4
f= ?
Answers
Because -1 and 1/4 + 11/2= 4 and 1/4
Answer:
2 1/4
Step-by-step explanation:
3.6 subtract by 1.487 is egual to ______.Pls write in step by step.
Answers
Answer:
2.113
Step-by-step explanation:
\(3.600\\1.487 \ -\\\overline{2.113}\)
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
Answers
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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what is the answer to 10=4a
Answers
Answer:
5/2
Step-by-step explanation:
divide both sides by 4
5/12x6/15=30/180
How do I simplify?
Answers
Answer:
0.167
Step-by-step explanation:
if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6
technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167
that should end up being your answer if i did the math right
Answer:
Step-by-step explanation:
5/12 * 6/15 =30/180
1/6=1/6
which is true, Right-hand side is equal to left-hand side
Find the greatest common factor of 8a and 6a?
Answers
Answer:
2a.
Step-by-step explanation:
6 = 2 * 3
8 = 2 * 2 * 2 - 2 is common to both sets of factors.
So the GCF of 6 and 8 is 2.
For the 2 a's it is a.
Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
Volume = (1/3) * base area * height
In this case, the base of the pyramid is a square with a side length of 10.6 inches, so the base area can be calculated as:
Base area = side length * side length
Let's calculate the base area first:
Base area = 10.6 in * 10.6 in
Next, we'll substitute the values into the volume formula:
Volume = (1/3) * (10.6 in * 10.6 in) * 12.3 in
Calculating this expression will give us the volume of the pyramid. Rounding the answer to the nearest tenth of a cubic inch will provide the final result.
Please show how you solved
Answers
Answer:
x = 7 degrees
Step-by-step explanation:
The unlabelled angle at M PLUS 12x + 24 = 180
then the unlabelled interior angle is 180 - (12x+24)
The sum of the interior angles then = 180
80 + 4x + 180-(12x+24) = 180
236 -8x = 180
x = 7
a teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times. She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6. are the conditions for inference met?
yes the conditions for infants are met
no, the 10% condition is not met
no, the large counts condition is not met
no the rain is condition is not met
Answers
Answer:
No, the Large Counts Condition is not met.
Step-by-step explanation:
edge 2021
The condition for inference met is no, the large count's condition is not met.
A teacher attempts to make a number cube unfair by drilling out the spots on one side and inserting lead weights. to determine if she was successful she rules the number cube 50 times and keeps track of the number of times she rolls a 1. she rolls a 1 15 times.
What is the interference?Interference is the phenomenon that occurs when two waves meet while traveling along with the same medium.
The interference of waves causes the medium.
She would like to know if the data provide convincing evidence that the proportion of roles will land on a one is greater than 1/6.
Therefore option second is correct.
That is no, the large count's condition is not met.
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Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5+2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 612 + x) = 2(3x + 8)
Answers
Answer:
\(4(x + 3) + 2x = 6(x + 2)\)\(5 + 2(3 + 2x) = x + 3(x + 1)\)Step-by-step explanation:
\(5(x + 3) + x = 4(x + 3) + 3 \\ 5x + 15 + x = 4x + 12 + 3 \\ 5x + x - 4x = 12 + 3 - 15 \\ 2x = 0\)
Divide both sides of the equation by 2
2x/2 = 0/2
x = 0
(4+612+x)=2(3x+8)
4+612+x=6x+16
4+612-16=6x-x
600=5x
Divide both sides of the equation by 5
600/5 = 5x
120 = x
Answer:
Its B. 5+2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
I just took the test on edge
Mrs. Smith made 6 ¼ dozen cookies for the birthday party. At the end of the party, there were 3 ½ dozen cookies left. How many cookies did the guests eat?
Answers
The guests in the birthday party ate 33 cookies.
How many cookies did the guests eat?We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.
Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.
6 1/4 dozen = 25/4 dozen
3 1/2 dozen = 14/4 dozen
Now we can subtract the number of cookies that were left from the number of cookies that were made:
25/4 - 14/4 = 11/4 dozen
To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.
There are 12 cookies in one dozen, so:
11/4 x 12 = 33
Therefore, the guests ate 33 cookies.
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A provisional license holder under 18 may not drive without special permission _____________________ .
A between 8:00 a.m. and 9:00 pm
B between 12:00 am and 5:00 am
C between 5:01 am and 11:59 pm
D between 6:00 a.m. and 6:00 pm
Answers
Answer:
C
Step-by-step explanation:
A provisional license holder under 18 may not drive without special permission between 5:01 am and 11:59 pm.
This is the sketch of a graph of y=(x-1)(x-3)
Question is below
Answers
From the graph, the coordinates of the points of the equation y=(x-1)(x-3): (1,0) (4,0), P(0,3) and turning point (2.5,2)
How to find the coordinates?You should know that these are possible reading from the graph
The scale of the graph is [laced at 1 com to 1 unit on both axes
From the graph, the coordinates of A are (1, 0) This is where x=1 and y=0
The coordinates of B = (4, 0) This is where x=4 and y=0
b) The coordinates of point P are (0,3) This is where x=0 and y= 3
c) The coordinates of the turning point are (2.5, 2) This is the minimum value of the curve
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For data set 1 7 7 7 8 the mean is 6 what is the mean absolute deviation
Answers
The mean absolute deviation for the given data set is 2.
To calculate the mean absolute deviation (MAD), we first need to find the absolute difference between each data point and the mean, and then calculate the average of these absolute differences.
Given the data set: 1, 7, 7, 7, 8 and the mean is 6.
To find the absolute difference between each data point and the mean:
|1 - 6| = 5
|7 - 6| = 1
|7 - 6| = 1
|7 - 6| = 1
|8 - 6| = 2
Next, we calculate the average of these absolute differences:
(5 + 1 + 1 + 1 + 2) / 5 = 10 / 5 = 2
The mean absolute deviation measures the average distance between each data point and the mean, providing information about the spread or variability of the data. In this case, the MAD of 2 indicates that, on average, the data points deviate from the mean by approximately 2 units.
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Please help with math! :)
Answers
Answer:
1. (10,-4)
2. 12
3. 108
Step-by-step explanation:
First find the cordinate by seing were the point lands on the graph
sense it is +10 right the x = 10, and it is 4 below the origin making it a negitive 4, so u get (10,-4)
The graph is measured 2 units per box and sence the sides are parallel to the axies you can count each square by 2, giving you the measuers of 12 units.
Now finally, The area of a triangle is A=1/2bh, we arlready have our base, and we just found our hight, so now we just have to plug it in.
A= 1/2 (12) (18)
12*18 = 216
A= 1/2 (216)
A= 108
And we are done!
The image of p (6, 0) under the translation ( x-y) ( x -6,y-1
Answers
Answer:
can you give me a picture?
Step-by-step explanation:
Please helppppppppp!!!!!!!!
Answers
Answer:
1. f(12), 2. F(m)=2500, 3. F(v)>_3000, 4. 0.9f(30)
Step-by-step explanation:
help with this immediately
Answers
x= 2
Step-by-step explanation:
The answer for what does x= is,
x = 2