The value of the sum of the functions f(x) and g(x), (f + g)(x) is 5x³ - 4x.
What is a function?The outputs for a certain set of inputs can be referred to as a function.
A function's inputs are referred to as its independent variables, while its outputs are referred to as its dependent variables.
Given, f(x) = x³ + 8 and g(x) = 4x³ - 5x - 8.
Let, f(x) = x³ + 0x + 8.
We know, (f + g)(x) = f(x) + g(x).
Therefore, (f + g)(x) = (x³ + 0x + 8) + (4x³ - 5x - 8).
(f + g)(x) = x³ + 4x³ + 0x - 4x + 8 - 8.
(f + g)(x) = 5x³ - 4x.
learn more about functions here :
https://brainly.com/question/12431044
#SPJ1
Simplify the following rational expression and express in expanded form.
6
m
2
−
5
m
y
−
y
2
12
m
+
2
y
=
12m+2y
6m
2
−5my−
Answer:
6m²-5my-12m
Step-by-step explanation:
dont get it oooo
Answer:
On khan Academy,
it is m-y/2
Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Answer:
x = 2, y = -1
Step-by-step explanation:
Assuming it should be y not g
y = -2x + 3
-2y = -6x + 14
y = 3x - 7
-2x + 3 = 3x - 7
10 = 5x
x = 2
y = -1
Which expression can be used to find measure angle R
Answer:
cos-1(-4/14)
Step-by-step explanation:
If
4.5=r
3.5=s
2=t
By law of cosines:
[tex]r^{2}=s^{2}+t^{2} -2st cosR\\\\CosR= \frac{r^{2} -s^{2} -t^{2} }{-2st} \\\\R=cos^{-1} (\frac{(4.5)^{2}-3.5^{2} -2^{2} }{-2(3.5)(2)} )\\R= cos^{-1} (-\frac{4}{14} )[/tex]
Samantha and Luis are attempting to dentermine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade students
Answer: Your question is incomplete
But if the attached image is the complete question “whose sample is the most random”, then your answer is:
Luis’ sample.
Step-by-step explanation:
A random sample is one where each member is selected at random.
It is the kind of sampling where each member has an equal chance of being selected.
Samantha and Luis are trying to determine the number of library books that seventh graders check out. Their focus is;
1.) Seventh graders and
2.) Library books
Samantha surveys seventh graders leaving the library while Luis surveys seventh graders at random in the school cafeteria.
Samantha’s survey is more focused because each member of her sample was leaving the library meaning that they had handled books.
But Luis’ sample is more random because he takes his survey from all seventh graders (seventh graders in the cafeteria). With his random sampling, there is a high probability that each member never handled library books.
Joseph bought a fish tank shaped like a rectangular prism with the dimensions shown below. What is the area in square inches of the shaded top of the rectangular prism?
Answer:
The surface area is 310 square inches
Step-by-step explanation:
Given [Missing dimensions]
[tex]L = 5in[/tex] -- Length
[tex]W = 10in[/tex] -- Width
[tex]H = 7in[/tex] -- Height
Required
Determine the surface area
The surface area (A) of a rectangular prism is:
[tex]A = 2(LW + LH + HW)[/tex]
[tex]A = 2*(5*10 + 5*7 + 7*10)[/tex]
[tex]A = 310in^2[/tex]
Ms. Morrison is purchasing a house and needs to finance a $150,000 mortgage from
the bank with an annual percentage rate (APR) of 3.8%. She is financing it over 30
years and making monthly payments. What is the monthly payment?
Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?
Answer:
By 2020, there will be 1,147 species of birds left
Step-by-step explanation:
The general model for an exponential decrease is;
y = I(1 - r)^t
where in this case;
y is the number of bird species at a particular decade from the initial
I is the number of birds initially at 1990
r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015
t in this case will be the number of decades after the initial
Mathematically, a decade is 10 years
The difference between 2020 and 1990 is 30
The number of decades in 30 years is 30/10 = 3
so t will be 3 here
Substituting these values into the equation, we have
y = 1200(1-0.015)^3
y = 1200(0.985)^3 = 1,146.8
To the nearest whole number, this is 1,147
What type of transformation has occurred from f(x) to g(x) on the graph below? (please help ASAP will give brainliest!!)
Rotation
None of these
Reflection
Translation
Answer:
defenitely not reflection im thinking either a or b leaning more towards a tho
Step-by-step explanation:
Answer:
ROTATION
Step-by-step explanation:
I GOT IT CORRECT ON TEST :))
Write the equation of the line that passes through the points (3, 4) and (5, 8)
Answer:
y=2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-4)/(5-3)
m=4/2
m=2
y-y1=m(x-x1)
y-4=2(x-3)
y=2x-6+4
y=2x-2
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35
What is the slope of the line below?
The image is a graph of an x-axis and a y-axis. A line is drawn which passes through the points (2,3) and (-2,-7).
A. 5
B. 0.2 or 15
C. 2.5 or 52
D. 0.4 or 25
Answer:
The awnser is C. but please know I may be wrong
Step-by-step explanation:
r+b=7
3.75r+2.75b=22.25
Answer:
Step-by-step explanation:
hello :
r+b=7... (*)
3.75r+2.75b=22.25.... (**)
use (*) : r = 7 - b
put this value in (**) :
3.75(7 - b)+2.75b = 22.25
26.25 -375b +2.75b = 22.5
-375b +2.75b = 22.5 - 26.25
- b = -3.75
so : b = 3.75
but : r = 7 - b
r = 7 - 3.75
r = 3.25
Hey can someone tell me what -3x^2(14x^2-2x-8) equals
Answer:
-42x^4 + 6x^3 + 24x^2
Step-by-step explanation:
what is the slope of the graph in the picture?
Answer:
slope is 2
Step-by-step explanation:
Pick any two points
say point (0,0) and point (2, 4)
to find slope, subtract the x and y coordinates as a fraction.
y on the top, x on the bottom
y/x = (4 -0)/ (2-0) = 4/2 = 2
what is the awnser to 65.9- 45.902=
Answer:
19.998? or is there something else to it
A company is going to make a storage container with sheet steel walls The container will be in the shape of a rectangular prism If the sheet steel costs 30 for each square meter how much will the sheet cost it total The sides are 7m 3m and 3m
Answer:
3060
Step-by-step explanation:
First we need to calculate the total surface area of the prism
TSA = 2(lw+wh+lh)
l is the length of the prism
w is the width of the prism
h is the height of the prism
Let
L = 7m
W = 3m
H = 3m
Substitute
TSA = 2(7(3)+3(3)+7(3))
TSA = 2(21+9+21)
TSA = 2(30+21)
TSA = 2(51)
TSA = 102m²
Hence the total surface area of the prism is 102m²
Since sheet steel costs 30 for each square meter, then;
1m² = 30
102m² = x
Cross multiply
x = 30*102
x = 3060
Hence the sheet with the dimension will cost 3060
pls help quick what is 1/8+2/5
Answer:
21/40
Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php
anybody know how to do this?????
Answer:
[tex]x = 30[/tex]
Step-by-step explanation:
In order A to be parallel to B, our alternate interior angles must be equal.
This means that
[tex]5x = 3x + 60[/tex]
[tex]2x = 60[/tex]
[tex]x = 30[/tex]
What are the degree and leading coefficient of the polynomial?
Answer:
Degree: 9
Coefficient: -1
Step-by-step explanation:
The degree of a polynomial is equivalent to the highest degree of all its terms.
The term with the highest degree in this polynomial is y^9
find the quotient 12/15÷6/11
Answer:
.8
Step-by-step explanation:
Let A = (3,5,7,9,11,13) B=( 3,5,9,11) , C=(5,9,13)
(13)=B
A. True
B. False
Katia is baking. She uses 2 ⅛ cups of sugar for cookies and 1 ⅗ cups of sugar for a cake. How much total sugar did Katia use?
Answer:
3.725
Step-by-step explanation:
because you add 2.125 (2 1/8) and 1.6 (1 3/5) to get 3.725
Help! Il give you brainlest
Answer:
What? there is no question here
Step-by-step explanation:
Help Please I put 70 pts on this
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
__
B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
_____
* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
A) Intercepts zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Profit is increasing with price for x < 4, and is decreasing with price for x > 4.
B) The value of f(1) from the graph to be about 120, so the average rate of change is about.
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
If we take the peak profit to be $270, we can write f(x) as:
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change are 50.625. For the purpose here, we judge the extra precision to be pointless.
To know more about graphs follow
https://brainly.com/question/25020119
#SPJ5
Describe the translation below using words and then write a rule for it.
which inequality is true?
It's urgent!!!
Solve 5a - 2b =7 and 5a + 2b =14 simultaneously
find the value of each variable
(x^10)^2/x4 simplify
Answer:
x^16
Step-by-step explanation:
=> x^20 / x^4
=> x ^ 20-4
=> x^16
Please mark my answer as the brainliest for further answers :)
PLEASEPLEASE ANSWER
and if i get any more bots answering with links im gonna cry ive put this question 5 times
Answer:
x = 7
Step-by-step explanation:
A triangle's total interior angle measurement will equal 180°.
Set all measurements equal to 180:
(82) + (9x - 6) + (6x - 1) = 180
Simplify. Combine like terms:
(82 - 6 - 1) + (9x + 6x) = 180
(82 - 7) + (15x) = 180
(75) + 15x = 180
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, Subtract 75 from both sides of the equation:
15x + 75 = 180
15x + 75 (-75) = 180 (-75)
15x = 180 - 75
15x = 105
Next, divide 15 from both sides of the equation:
(15x)/15 = (105)/15
x = 105/15
x = 7
7 is your value for x.
~