Answer:
f(g(x)) = g(f(x)) = x
which is the same as
(f ° g)(x) = (g ° f)(x) = x
Step-by-step explanation:
If the functions are inverses of each other, they will yield just x when they are composed together. Being inverses is like one function "UNDOES" the other (this is not a technical term).
Answer:
it's D!!!!!!!
Step-by-step explanation:
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answer:
7
Step-by-step explanation:
1.5 x 1.5 = 2.25
2.25 x 3.14 = 7.065
[tex]Area \: = \pi {r}^{2} = 3.14 \times {1.5cm}^{2} \\ = 7.065 \: \: {cm}^{2} [/tex]
= 7 cm^2
Estimate 5/8 - 1/10
A. 0
B. 1/2
C. 1
D. 1 1/2
Solution:
Make the denominators equivalent and solve.
=> 5/8 - 1/10=> 25/40 - 4/40=> 21/40 ≈ 1/2Hoped this helped!
a rectangular poster is 17 inches by 54 inches long. write and solve an equation to estimate the area of the rectangle poster. what is the actual area of the rectangular poster
It should be noted that the area of the rectangle given will be 918 inches².
How to calculate area of a rectangleFrom the information given, it was stated that a rectangular poster is 17 inches by 54 inches long.
The area of the rectangle will be:
Area = Length × Width
Area = 17 × 54
Area = 918 inches²
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Given the function f(x)=3x^2+4x−4
find the following.
(a) the average rate of change of f on [−4,0].
(b) the average rate of change of f on [x,x+ℎ].
Answer:
(a) -8
(b) 6x +4 +3h
Step-by-step explanation:
Sometimes, it works well to find the general solution first, then use that to solve the specific problem. That's what we'll do here.
(b)The average rate of change on the interval [x, x+h] is defined as ...
m = (f(x+h) -f(x))/h
For the given f(x), this is ...
[tex]m=\dfrac{((3(x+h)^2+4(x+h)-4)-(3x^2+4x-4)}{h}\\\\m=\dfrac{3x^2 +6xh+3h^2+4x+4h-4-3x^2-4x+4}{h}\\\\m=\dfrac{6xh+3h^2+4h}{h}\\\\\boxed{m=6x+4+3h}\qquad\text{average rate of change on $[x,x+h]$}[/tex]
__
(a)Using the above result for the interval [-4. 0], we have x=-4 and h=4. The average rate of change on that interval is ...
m = 6(-4) +4 +3(4) = -24 +4 +12 = -8
The average rate of change on [-4, 0] is -8.
_____
Additional comment
In the above, we worked the generic problem first. That way, we only needed to expand f(x+h)-f(x) once. If you're not terribly comfortable with doing algebra on literal expressions, sometimes it is more comfortable to work the numerical problem--as this question would have you do. This lets you get an idea of the kinds of operations that are involved and the way terms combine.
We note that the average rate of change is the instantaneous rate of change (derivative of the function) at the midpoint of the interval. That derivative is the value of m when h=0: 6x+4. The midpoint of the interval [-4,0] is x=-2, and the derivative there is 6(-2)+4 = -8, as above.
In a bag containing 4 yellow balls and 3 blue balls. 2 balls are drawn in a succession without replacement. Find The values of random variables. B where B represents the number of blue balls drawn
The above pic is your answer mate.
I dont know why this was wrong ?? anyone know
Answer:
= f(x) = x²+16
is correct.
Step-by-step explanation:
I hope this helps!![tex] \dashrightarrow f( \rm x) = (x - 4)(x - 4)[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow f( \rm x) = \: {x}^{2} - 4x - 4x + 16[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow f( \rm x) = \: {x}^{2} - 8x + 16[/tex]
Item 4
A member of the sales team earns 30% commission on any sales. A salesperson sold $450 worth of merchandise.
How much was the salesperson's commission on the sale?
$30
$135
$180
$315
Answer:
its 135
Step-by-step explanation:
Two punches are made from steel bar stock 9 7/16 inches long. If one punch is 4 1/64 inches long and the other is 4 3/32 inches long, how many inches of stock are wasted?
a. 1 1/16 inches
b. 1 5/16 inches
c. 1 15/64 inches
d. 1 21/64 inches
Answer:
d. 1 21/64 inches
Step-by-step explanation:
Add the lengths of the two punches.
4 1/64 + 4 3/32 = 4 1/64 + 4 6/64 = 8 7/64
Subtract the sum from the length of the bar stock.
9 7/16 - 8 7/64 = 9 28/64 - 8 7/64 = 1 21/64
Answer: d. 1 21/64 inches
The 1 15/64 inches of stock are wasted (option c).
To find out how much stock is wasted, we need to subtract the sum of the lengths of the two punches from the original length of the steel bar.
Original length of the steel bar = 9 7/16 inches
Length of the first punch = 4 1/64 inches = 4 + 1/64 inches
Length of the second punch = 4 3/32 inches = 4 + 3/32 inches
Total length of the two punches = (4 + 1/64) + (4 + 3/32) inches
Now, add the lengths of the two punches:
Total length of punches = 8 + 1/64 + 3/32 inches
Convert the fractions to a common denominator (64):
Total length of punches = 8 + 1/64 + 6/64 inches
Total length of punches = 8 + 7/64 inches
Now, subtract the total length of punches from the original length of the steel bar:
Wasted stock = 9 7/16 - (8 + 7/64) inches
Convert 9 7/16 to an improper fraction:
Original length of the steel bar = 9 * 16/16 + 7/16 = 151/16
Now, subtract the total length of punches:
Wasted stock = 151/16 - (8 * 16/16 + 7/64)
Wasted stock = 151/16 - (128/16 + 7/64)
Wasted stock = 151/16 - 130/16 - 7/64
Wasted stock = 21/16 - 7/64
Wasted stock = (21 * 4)/(16 * 4) - 7/64
Wasted stock = 84/64 - 7/64
Wasted stock = 77/64 inches
Now, let's simplify 77/64:
77/64 = 64/64 + 13/64 = 1 + 15/64 inches
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In the data set {(0,−1);(−2,4);(−4,−8);(−1,5);(1,−3);(2,1);(3,−2);(−1,2)}, which point is a possible outlier?
(−4,−8)open paren negative 4 comma negative 8 close paren
(2,1)open paren 2 comma 1 close paren
(−1,5)open paren negative 1 comma 5 close paren
(3,−2)
From the coordinate points, we can see that the data point that differs significantly is (−4,−8)
What is an outlier?An outlier in statistics is a data point that differs significantly from other observations in the given data
This may be due to variability in the measurement or it may indicate an experimental error.
From the coordinate points, we can see that the data point that differs significantly is (−4,−8). This gives the possible outlier of the given coordinate
Learn more on outlier here: https://brainly.com/question/3631910
Answer:
It's would be -4,-8 Have a great day
50 POINTS!!!! HELP ASAP!!!
20
I'm sorry but I rea
Step-by-step explanation:
65 *x =1300
1300÷65= x
X=20
Answer:
I wish you help you more but I can only go this far.
Step-by-step explanation:
question 1:
1,300÷65=20
salesman A has to make 20 sales to reach his maximum sales for the week.
question 2:
1. x÷2+4 = -1
x= -10.
-10÷2 = -5
-5 +4= -1
2. x+3÷5=-2
x= (5×-2)+3
x= -13
3. nil
4. x-5×2=14
x=-2
5. x × 4 - 5 = -8
(please calculate it)
I hope I helped a little.
Which relationship is proportional?
A. Bob scored 24 points in 4 games and Joe scored 48 points in 10 games.
B. At one store it costs $18 for 3 necklaces and at another it's $30 for 5 necklaces
C. Casey worked 4 hours for $32 and Allie worked 7 hours for $28.
Somebody please help me I am struggling very much
Answer:
B
Step-by-step explanation:
We will divide 18 by 3 and 30 by 5, and if the results are the same, then this relationship is proportional.
18/3 = 6
30/5 = 6
The two answers are the same, so this relationship is proportional.
Which equation represents this statement?
3.1 less a number is 1.76.
n−3.1=1.76
3.1=1.76−n
3.1−n=1.76
3.1=n−1.76
The statement 3.1 less a number is 17.6=3.1-n=1.76
Answer:
Helps you in comprehending the methodology to solve sum of first terms of an arithmetic progression
Makes you memorise the important formulas and methodologies
Assists you in scoring all the questions on arithmetic progression accurately
Step-by-step explanation:
Divide.
3/5 ÷ 1 1/4
A.) 1/4
B.) 12/25
C.) 3/4
D.) 2 2/5
Answer:
the answeer is d i got it right
Step-by-step explanation:
no need it d
I need help with number 8.
- 8/xy
Answer:
[tex] \frac{64xy}{ - 8 {x}^{2} {y}^{2} } \\ ✓determine \: the \: sign \\ - \frac{64xy}{8 {x}^{2} {y}^{2}} \\ ✓cross \: out \: the \: common \: factor \\ - \frac{8xy}{{x}^{2} {y}^{2}} \\ ✓cross \: out \: the \: common \: factor \: \\ - \frac{8y}{x {y}^{2} } \\ ✓cross \: ut \: the \: cmmon \: factor \\ - \frac{8}{xy} [/tex]
Stop & Shop is having a sale on paper towels: 5 rolls for $3. How much will 8 roll(s) cost?
first answer = brainliest
The factory pays 7 cents per kWh for energy. Find the cost for each bulb type at 0 hours of
and at 10,000 hours of use. Show your work. (4 points: 1 point for each of the four costs)
Cost at 0 hours ($)
Cost at 10,000 hours ($)
CFL bulb
$
LED bulb
$
Answer:
$46.27¢
Step-by-step explanation:
Good thing I was a teacher
hi can anyone help with this? 15 points.
Step-by-step explanation:
that a picture of what you need. Go through it and get back to me.
PLEASE ANSWER QUICKLY!
Transversal d intersects lines e and f to form 8 angles. The angles formed with line e, clockwise from top left, are blank, 112 degrees, blank, 3. The angles formed with line f, clockwise from top left are 1, 2, blank, 49 degrees.
Use the diagram to find the indicated angle measures.
m∠1 =
degrees
m∠2 =
degrees
m∠3 =
degrees
Answer:
mz4=
V57
degrees
m5=
V 123
degrees
m26=
35
degrees
Answer: The answer should bemz 4=
V57
degrees
m5=
V 123
degrees
m26=
35
degrees
Step-by-step explanation:
Divide using long division
pls show work
9x^3+18x^2-4x+8/3x-2
Answer:Quotient =3x^2 +8x +4
Remainder=16
Step-by-step explanation:
Which expression is equivalent to 10-3(4x=8)
a.-12x-14
b 12x +14
c 14-12x
d -14+12x
SHOW ME ALL YOUR STEPS
Answer: c
Step-by-step explanation:
Leticia spends $18. 45 on a shirt. She spends at least $3. 00 more than Humberto spends. If h represents the amount Humberto spends, which symbol can be used to complete the inequality below to represent this situation? 18. 45 blank 3 h > < Greater-than-or-equal-to Less-than-or-equal-to.
Inequality is the comparison of mathematical expressions which are not strictly equal. The needed inequality is: 18.45 ≥ 3 + h
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, we've got:
Amount spent by Leticia = $18.45
Amount spent by Humberto = h dollars
Since amount spent by Leticia is at least $3. 00 more than what Humberto spends, thus:
18.45 is at least h + 3 (all in dollars)
(we usually skip stuffs like currency sign or units in equations or inequalities, to keep things as minimized as possible. It is known from the context what unit or currency or such thing is being discussed).
At least can be thought of as equal to that quantity or greater than that quantity but not less than that quantity.
This more than or equal to is written as ≥
Thus, the inequality we get is:
18.45 ≥ 3 + h
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Find the area. PLEASE HELP!!!!
Answer:
623 mm²
Step-by-step explanation:
I am going to split this shape into a 15mm x 19mm rectangle and a 26mm x 13mm rectangle. (the 19mm comes from 32mm at the bottom minus 13mm at the top to find how long the first rectangle is)
Rectangle 1: 15mm • 19mm = 285mm²
Rectangle 2: 26mm • 13mm = 338mm²
Total Area: 285mm² + 338mm² = 623mm²
Gina Wilson All Things Algebra Unit 4: Congruent Triangles Homework 7: Proofs Review: all methods
page 1
To identify which triangles are congruent measure the angles and sides of each of the triangles and compare them.
What is the meaning of congruent?In mathematics, the word congruent is used if two figures have the same size and shape, although their orientation can be different.
How to know if two triangles are congruent?In the case of triangles two factors should be considered:
Length of each side.Angles.This means that to determine if the triangles are congruent, you must measure each side and angle and make sure these are the same in each triangle.
Learn more about triangles in: https://brainly.com/question/25813512
2p-q=7 and 3p+2q=7 solve using simultaneous equation
Answer:
q = -1 and p = 3
Step-by-step explanation:
make q the subject of the formula
q = 2p - 7
Let use the other equation to manipulate data
3p + 2q = 7
:3p + 2 (2p - 7) = 7
:3p + 4p - 14 = 7
:3p + 4p = 7 + 14
:7p = 21
7. 7
like terms cancel each other
thus
p = 3
ANDwe the first equation to find the value of q
q = 2p - 7
since we have find p as 3, let's substitute
q = 2 (3) - 7
q = 6 - 7
q = -1
What is the domain of this graph
A. All real numbers
B.{x|x<0}
C.{x|x<0}
D.{x|x>0}
E.{x|x>0}
Answer:
day and 10 are not getting survey of relativity media and the correct answer re my name because I am will get you sir yours faithfully Mr of relativity theory and 10 are the correct answer re my grandmother is not getting any response yet to be upto date and the other side is the correct address is the best of the following statements is the correct answer is no doubt the best regards the correct address you e the following ad listing of all the time to reduce your doing good I am will get the correct address is correct address is the best right answer to reduce the amount is not shown and described in this case I will be encouraged me as a great day itself because this case the best and most importantly I the only one that I have a good time for a good morning please doddamma send me a good morning please find nth term and 10 I have been working with our results show that you want me to reduce their breast and leg stroke in the best regards David sent to reduce your u don't know what did you do exercise of the following statements of the periodic reports and 10 term of the periodic you sir yours faithfully Dr is the correct address you have a nice weekend too the correct address is no longer be upto date of birth and 10 term 1 amdmit the correct address is the best regards the happy hour is the correct answer and down stairs in India vs Pakistan is the correct address you sir yours in service and leg is correct because I have been in touch with our results suggest is to be upto the best regards David David sent to the correct answer is no sir yours in health care industry provider for a great weekend as I am not shown up yet and I have a great site the best of luck to reduce their the best of my grandmother of birth and 10 term of the following ad listing of store locations and leg is healing is the right one that requires
What is the ratio of chicks to dogs? Answer in fraction form.
Answer:
The ratio of cats to dogs is 2:1 The ratio of dogs to cats is 1:2 or half as many dogs as cats. There are six cats and three dogs.
Step-by-step explanation:
one and two
2. Sixty percent of the students preferred raisins to banana chips. If there
(58)
were 95 students in all, how many preferred banana chips?
Answer:
536
try learning on cymath jc
If 2 miles is equal to 3,218.7meters, how many meters are there in 7 miles
fil in the balnk for what makes the equation true 10* =5
Answer:
1/2 or 0.5
Step-by-step explanation
1/2 of 10 = 5
We can write 1/2 as a decimal.
Do you need a decimal or fraction as the answer?
Still stuck? Get 1-on-1 help from an expert tutor now.