Answer:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
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Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Step-by-step explanation:
Purplemath
First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
MathHelp.com
Need a personal math teacher?
Given f (x) = 3x + 2 and g(x) = 4 – 5x, find (f + g)(x), (f – g)(x), (f × g)(x), and (f / g)(x).
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
Please help will mark brainiest
Answer:
DFE AND FED
Step-by-step explanation:
Solve this expression using the distributive property: 5 (2x + 7). *
plz help fast
Answer:
10x + 35
Step-by-step explanation:
The Robot Factory is a learning center where children can build robots. The project fee per visit is $18, and each hour of time (x) at the factory costs $6. Jesse goes to the Robot Factory one afternoon, and the total charge for his visit is $33. Write and solve and equation to find the number of hours Jesse spent at the Robot Factory.
Answer:
equation=33=6x+18
Step-by-step explanation:
33=6x+18
-18 -18
15/6=6x/6
15/6=x
2.5 hours at the robot factory
I need some help with two problems
Answer:
24) x = 16
I am not sure about #25
Simplify the expression.
1/3(12x+18y+6
4x + 6y + 2
4y + 6x + 2
4x + 6y + 3
4x + 6y + 6
Answer:
4x+6y+2
Step-by-step explanation:
Answer:
4x+6y+3
Step-by-step explanation:
I guess hope I helped :))
Spiral Review Gretchen is delivering boxes of cookies to her neighbors. Her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes.
If each box of cookies weighs 1 pound, what is the range of the total weight of her wagon while she is delivering cookies?
Enter the correct answers in the boxes.

Answer:
0-108
Step-by-step explanation:
I have the same assignment and got it while working on it
you have to say from either 0 or 12 pounds to 108 as you have to multiply 12 x 9.
The range of the total weight of her wagon while she is delivering cookies is 12 pounds to 21 pounds.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Spiral Review Gretchen is delivering boxes of cookies to her neighbors. Her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes.
Each box of cookies weighs 1 pound.
Weight of 9 boxes = 9 pounds.
So, the range,
= 12 pounds to 12 + 9 pounds
= 12 pounds to 21 pounds.
Therefore, the range is 12 pounds to 21 pounds.
To learn more about the addition;
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Determine the value of x to form equivalent fractions 4/5 = x/30
4
24
5
10
What is the answer of 14.8-4b-(17.1-3b)
the answer choices are:
A. 0.375
B. 3.75
C. 37.5
D. 375
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 15, 30,60,... Find the 6th term.
Answer: 120, 240, 480
Step-by-step explanation:
It would appear that the numbers are increasing in multiples of 2.
15 * 2 = 30
30 * 2 = 60
The next 3 terms will therefore be:
60 * 2 = 120
120 * 2 = 240
240 * 2 = 480
Answer:
480
Step-by-step explanation:
I'll give brainlliest to whoever anwsers
Answer:
Step-by-step explanation:
booom
I have a circle that has a diameter of 10 in. Explain how to find the area of the circle.
Answer:
r squared × π
Step-by-step explanation:
Half of the Diameter (5in) squared
multiply by π
Answer:
31.4
Step-by-step explanation:
A=(pie) radius 2
To find the radius half the diameter
A=3.14(5in)2
A=15.7 x 2
A=31.4
help me I'm stuck on this assignment problem
Answer:
pi^4
Step-by-step explanation:
In a problem like this you subtract exponents
11 - 7 = 4
pi^4
what's the difference between two step equations and one step equations
When solving two step equations you must solve one part of the equation so that you can solve the second part.
In one step equations you can just solve the equation as is.
Answer:
A one step equation needs one step, and a two step equation needs two steps.
Step-by-step explanation:
Sheila has 28 stickers to divide evenly among 3 friends. She thinks there will be no leftovers. Use what you know about factor pairs to explain if Sheila is correct.
Answer:
She is wrong
Step-by-step explanation:
If our target number is 28 then we can create all of the following factor pairs for this number. These would be the following...
1, 2, 4, 7, 14 and 28
As we can see from the factor pairs there is no 3. This means that 3 would not divide evenly by 28 and cannot be multiplied by any whole number to create 28. Therefore, if you divide the 28 stickers by the 3 friends there will be some stickers leftover always.
Write and solve the equation to the model below. equation x = ? pls answer pls i need it for a test
HELP ASAP I WILL GIVW YOU BRAINLIEST!!!!!!
Answer:
Their beliefs over who should have succeeded the Prophet Muhammad is the key theological difference between the two. Sunnis also have a less elaborate religious hierarchy than Shiites have, and the two sects' interpretation of Islam's schools of law is different
Step-by-step explanation:
hope this helps :)
Answer:
Shia people think that imam ali is the 1st khalifa or should be the first, because the profet Muhammed said that " I leave in you the two heavens, the Book of God, and my family" and after that the prophet rasied Imam Ali hand and said: " Whoever believe that i was the prophet should believe that Ali is the person in charge after I go meet Allah.
and so shia thinks that he is the person in charge after the prophet Muhammed.
Sunni people say that omar and abo baker are the people in charge. wich is so disrespecful to the prophet, because he said that Ali is incharge of the muslims by-step explanation:
the difference are shia believes that Imam Ali is the first khalifa and the sons of ali are the once incharge after him.
Can anyone help me with this
Answer:
No ....................
En la multiplicación anterior p y q representan
dígitos diferentes a 0. ¿Cuál es el valor de q?
Answer:
Hola
Step-by-step explanation:
Find the slope of y-intercept of the line represented by the table. Please look at the photo
Answer:
The slope is m= 4 and the y intercept is b= 9
Step-by-step explanation:
The slope is found by using change in y over change in x, or rise over run. From the table, this means, how much does y change for every time x goes up. As you can see, every time x increases by one, y increases by 4. So that´s your slope. The y intercept is when the line crosses the y axis, where x=0. Because you already know the slope, and that when x is one, y is 13, all you have to do is to know that going backwards by one for x means going backwards by 4 for y, and 13-4 is 9.
Does this table represent a function? Why or why not?
х
у
2
1
3
4
4
4
5
2
5
5
A. No, because two of the y-values are the same.
B. No, because one x-value corresponds to two different y-values.
C. Yes, because there is the same number of x-values as y-values.
D. Yes, because every x-value corresponds to exactly one y-value.
Answer: the answer is B
Step-by-step explanation:
What is the image of (8,-6) after a reflection over the line y = x?
Answer:
Step-by-step explanation:
Interchange x and y: (-6, 8) is the image of (8, -6) after a reflection over y = x.
The image of (8,-6) after a reflection over the line y=x is (-6, 8).
The given coordinate point is (8, -6).
What is a reflection over the line y=x?Reflect over the y = x, when you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
The image of (8,-6) after a reflection over the line y=x is
Reflecting in the line y = x interchanges the x and y coordinates. So, the image of (8, -6) is (-6, 8).
Therefore, the image of (8,-6) after a reflection over the line y=x is (-6, 8).
Learn more about the reflection over the line y=x visit:
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Factor the expression using 3 as one factor.
3x+15
Answer: 3(x+5) ✅
Step-by-step explanation:
Hii, do you need to factor the expression 3x+15? No problem! (:
Note that 3x and 15 have a "3" in common.
To factor it out, we can divide 3x and 15 by 3 first.
x+5
Put parentheses around x+5
(x+5)
Now put the 3 that we just factored out outside these parentheses
3(x+5)
--
Hope that this helped! Best wishes.
--
What is the value of x ??
F. 180
G. 90
H. 40
I. 8
What is the least common denominator of the rational expressions below?
2/7 - 7/4x^2+12x
O A. 4x^2(x + 3)
O B. x^2(x + 3)
O c. x^2(x + 3)
O D. 4x^2(x+3)
Answer:
A. 4x^2(c+3)
Step-by-step explanation:
The parking lot is 4 km wide. The area of the parking lot is 24 kilometers. What is length of the parking lot?
Answer:
6
Step-by-step explanation:
divide 4 and 24
Help me please!
If you get it right, I’ll will brainliest u!!
Answer:
A :)
Step-by-step explanation:
Law of Syllogism: q=r r=q
If complementary angles = 90-degree angles, then 90-degree angles = complementary angles
Which of the following describes the number below?
A.
Rational Only
B.
Neither Rational nor Irrational
C.
Both Rational and Irrational
D.
Irrational Only
convert the following to inches
3' 8"
Answer: 44 inches
Step-by-step explanation:
believe me plz mark me brainliest plz
Answer:
44 inches
Step-by-step explanation:
ITS IREADY HELP ASAP UM YEAH TY
CAN SOMEONE ANSWER THIS CORRECTLY PLZ!
Answer:
DFG = 28⁰
because DEFG is a rhombus
=> DF is a bisector of angle EFG
=> EFD = DFG
we also have: EG is perpendicular with DF
EG cuts DF at O
=> EOF is a right triangle at O
=> EFD = 90⁰ - 62⁰ = 28⁰
=> DFG = 28⁰