You are calculating the volume of a box which has a width ofx inches, a
length 1 inch less than the width, and a height 2 inches less than the width.
What is the end behavior of the polynomial function that models the volume
as a function of x?
and down
C. down and down
B. down and up
D. up and up
А. up
Using limits, it is found that the end behavior of the polynomial function for the volume of the rectangular box is:
B. down and up.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and heigth h is given by:
V = lwh.
In this problem, we have that the dimensions are given by:
w = x.l = x - 1.h = x - 2.Hence the volume is given by:
[tex]V = x(x - 1)(x - 2) = x(x^2 - 3x + 2) = x^3 - 3x^2 + 2x[/tex]
What is the end behavior of a function?It is given by it's limits as x goes to infinity.
Hence:
[tex]\lim_{x \rightarrow -\infty} V(x) = \lim_{x \rightarrow -\infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow -\infty} x^3 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} V(x) = \lim_{x \rightarrow \infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow \infty} x^3 = \infty[/tex]
Which means that option B is correct.
More can be learned about limits at brainly.com/question/22026723
Create the equation of a circle that has a center at (1,3) and a radius of 4 units.
The equation of the circle centered at (1, 3) with a radius of 4 units is:
(x - 1)^2 + (y - 3)^2 = 16
How to write the equation of a circle?For a circle with the center on the point (a, b) and radius R, the equation is:
(x- a)^2 + (y - b)^2 = R^2
In this case, the center is (1, 3) and the radius is R = 4, so the equation will be, so we just replace these in the general equation that we have above.
(x - 1)^2 + (y - 3)^2 = 4^2
(x - 1)^2 + (y - 3)^2 = 16
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I did half the answer but what is e= ?
Answer:
See below.
Step-by-step explanation:
e=12c+6
e=12(1)+6
e=12+6
e=18
e=12(2)+6
e=24+6
e=30
e=12(3)+6
e=36+6
e=42
e=12(4)+6
e=48+6
e=54
-hope it helps
Solve | x - 6 | = 8
A: x = 14 and x = -14
B: x = 14 and x = -2
C: x = -14 and x = -2
D: x = -14 and x = 2
Answer:
B
Step-by-step explanation:
Answer:
x=-2 or x=14
Step-by-step explanation:
since it's absolute value, this actually has two equations:
x-6=8
and
x-6=-8
we solve x-6=8 by adding 6 to both sides which equals x=14
we solve x-6=-8 by also adding 6 to both sides which equals x= -8+6= -2
I hope this helps! and please mark brainliest!
Examine the diagram.
What is the m<1?
O 21°
O 42°
O 71°
O 82 °
Answer:
O 21 your ita not correct
giving brainliest+50 points!!
What is the five-number summary of this data set?
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Drag the numbers into the boxes to correctly complete the five-number summary.
Minimum
Q1
Q2
Q3
Maximum
Answer:
the 852 is the perfect fit q3
Step-by-step explanation:
The five-number summary of this data set are minimum is 515, maximum value is 986, Q₁ is 686, Q₂ is 852 and Q₃ is 966.
What is Median?Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order. It is also called second quartile.
Given data set is,
{852, 687, 515, 986, 907, 784, 967, 685, 965}
Arrange this in ascending order first.
{515, 685, 687, 784, 852, 907, 965, 967, 986}
Minimum value = 515
Maximum value = 986
First we have to find the median or the second quartile.
Second quartile, Q₂ = Middle element of the set
Q₂ = 5th element = 852
First quartile = 1/4 (n + 1)th element = 1/4 (9 + 1) = 2.5 th element
Q₁ = (685 + 687) / 2 = 686
Third quartile = 3/4(n + 1)th element = 3/4 (9 + 1) = 7.5th element
Q₃ = (965 + 967) / 2 = 966
Hence the five-number summary of this data set are found.
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what should be the rate of interest to earn an 45000 as interest wale rupees 50000 easy in investment for 6 year
Answer:
5
Step-by-step explanation:
Please help!!!
What is the value of y?
60
45
2V2
Enter your answer, as an exact value in the box
y =
Answer:
Step-by-step explanation:
Ratio of sides of 45-45-90 triangle = x : x : x√2
x√2 is the side opposite to angle 90
So, from the picture,
x√2 = 2√2
x = [tex]\frac{2\sqrt{2}}{\sqrt{2}}[/tex]
x = 2
Ratio of sides of 30-60-90 tirangle = a : 2a : a√3
Short side that is oppoiste to 30° = a
Side opposite to 60° = a√3
Hypotenuse (oppoiste to 90°) = 2a
a = 2
y =a√3
y = 2√3
Hi can someone may help me with this problem I'm struggling with
ASSP
Answer:
see attached
cost = 33
Step-by-step explanation:
Kruskal's Algorithm is a "greedy" algorithm that adds the next minimum-weight edge to the tree, provided that it does not create a loop.
__
The minimum-weight edge in the graph is DF, with weight 1.
The next minimum-weight edge is GH, with weight 2.
The next minimum-weight edge is AB, with weight 3.
The next minimum-weight edge is EF, with weight 4.
Edge DE is the next lowest-weight, but it creates a loop (DEF), so we ignore it.
BC is the next edge we'll add to our tree.
FG is the next edge we'll add to the tree.
Edge DG creates a loop, so we ignore it.
Edge FH creates a loop, so we ignore it.
CF is the next edge we'll add to the tree. This completes the minimum spanning tree using Kruskal's Algorithm.
Included edges are AB, BC, CF, DF, EF, GF, GH.
The cost of the tree is 3+6+10+1+4+7+2 = 33.
find the inverse of f(x)= x-3/2
i dont understand this
Answer:
the correct answer is shown below
Step-by-step explanation:
hope this helps
what is the interquartile rang of the following data set? 9,30,2,48,42,18,81,5,55,73,11
please help as soon as possible
Answer:
D, E
Step-by-step explanation:
In the table, r = 3p, and by converse, p = 1/3r. These options are D and E
Answer:
This is not college level stuff.
But the answer is D. r = 3p and E. p =r/3
Step-by-step explanation:
As you can see in the graph, all the r values are 3 times the p values, 9 = 3 x 3, 21 = 3 x 7, 24 = 3 x 8 and so on. So, the equation is r = 3p. The same is also vice versa, r/3 = p.
How many squares with a side of 3 cm can fit in a 12 cm by 3 cm rectangle
Answer:
4 squares
Step-by-step explanation:
If the rectangle is only 3 cm wide, only one square will be able to fit in a row. Since the square is 12 cm long, 4 squares can fit. This can be found by 12/3 which = 4
i need help pleasse
Kiara and Mia went to a county fair. They each paid the same admission fee but they were in a different number of rides. Each ride costs the same the total amount they each spent is shown in the table
let's take admission fee= z
8z+11z=17.50+21.25
19z=38.75
z=38.25/19
z=2.4 (aprox)
Or In case of Kiara 17.50 amount paid in 8 rides
.so 1 ride=17.50/8
=2.1875
same In case of mia
so 1 ride=21.25/11
=1.9318.
but, they are not match so there is problem in your Questions.
what is the difference of 21 1/4 - 18 2/4
Answer: Difference between 21 1/4 - 18 2/4 =2 3/4
Step-by-step explanation:
Write an equation for the graph below in terms of x
Y=
Find the measures of the interior angles?
Answer:
Angle C = 35
Step-by-step explanation:
Angles A and B are already given to you, so I will not be explaining how to find them. If you have any questions, let me know.
There are 2 ways to solve this problem; you can either use the sum of the interior angles or isosceles triangles.
Sum of Interior Angles
The interior angles of all triangles equal 180 degrees. We can use this information to create an equation.
First, set up the equation.[tex]110+35+x=180[/tex]Then, combine like terms.[tex]145+x=180[/tex]Next, subtract 145 from both sides[tex]x=35[/tex]This means that angle C equals 35 degrees.
Isosceles Triangles
The image shows marks on 2 sides. These marks show that the sides are congruent. If a triangle has 2 congruent sides then it is isosceles. Isosceles always have 2 congruent angles as well. In addition, these congruent angles are always the angles opposite of the congruent sides.
In this case, the angles opposite of the congruent sides are angle A and angle C. Thus, angles A and C are congruent. If angle A is equal to 35, then angle C must also be 35.
What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ? (−4, 18) (0, -2) (-8, -2) (−4, −18)
Answer:
(−4, −18)
Step-by-step explanation:
f(x) = x^2 + 8x - 2
⇒ CONVERT TO VERTEX FORM
≥ f(x) = (x + 4)^2 - 16 - 2
≥ f(x) = (x + 4)^2 - 18
⇒ VERTEX IS AT:
≅ ((−4, −18))
Answer:
The answer is D......
Step-by-step explanation:
Write an algebraic expression for the following: 17 more than a number.
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
Let the number be x
Then,the algebraic expression formed is
[tex] \large \purple{ \boxed { \rm{x + 17}}}[/tex]
It states that you need to write it as 17 more than x This means 17 added on to x .[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Answer:
x+17
Explanation:
Adding more characters. 'A number is x variable, add 17.. x+17
Answer my question #4
Answer:
11. 432,500 12. KF & ND
Step-by-step explanation:
11.
80,000 + 75,000 + 105,000 + 82,500 + 90, 000 = 432,500 people
( it says "about" so it doesn't have to be exact but a reasonable guess)
12. The two stadiums most similar in attendance is Kyle Field and Notre Dame
Determine whether AB¯¯¯¯¯¯¯¯
A
B
¯
is a diameter of the circle. Explain your reasoning.
Answer: D
Step-by-step explanation:
The shared side and sides AC and AD are congruent, as well as the included angles, so the triangles are congruent. This means that by CPCTC, segments BC and BD are congruent, and thus AB bisects CD. Therefore, AB is a diameter.
Find the value of x. AB=20 BC=6 CD=8
Step-by-step explanation:
there is the rule
outside length × (outside length + inside length) is the same for all lines originating from the same point.
so, we have
CD(CD + x) = BC(BC + AB) = 6(6+20) = 6×26 = 156
8(8 + x) = 156
8 + x = 19.5
x = 11.5
please answer! i need it as its important thank you.
This question is worth 100 points if you get this right.
Answer:
7 nights
Step-by-step explanation:
If he does 1/3 every night then you must turn 2 1/3 into a mixed fraction.
7/3
Then divide.
7/3 by 1/3
your answer is 7/1 or just 7 nights
Just divide
No of nights
2-1/3 ÷1/37/3÷1/37/3×37nightsHe need 7 nights
Divide.
4^2.4^6
O 4-3
O 4^3
O 4-4
O 4^4
The answer is C, 4^4
Step-by-step explanation:
no, the answer is definitely NOT 4⁴.
4² is smaller than 4⁶, right ?
so, 4²/4⁶ must be smaller than 1.
remember, what we do with exponents when we multiply terms ? we add the exponents.
like 4²×4⁶ = 4⁸
and when we divide terms ? we subtract the exponents.
4²/4⁶ =
[tex] {4}^{ - 4} [/tex]
because 2 - 6 = -4
In the United States we measure fuel economy in miles per gallon. At the beginning of a trip a car's odometer read 23,450 miles, and the fuel tank was full. At 23,742 miles the fuel tank was refilled with 9.87 gallons of gas. Estimate the number of miles per gallon the car averaged on that portion of the trip.
Answer:
About 30 miles per gallon of gas
Step by step:
First you subtract 23,742 - 23,450
and then you divide it by 9.87 and then you round
Composing ________________ is another way to compose two functions
Answer:
is there any options or answers I could see?
Vicki started jogging. The first time she ran, she ran mile. The second time, she ran mile, and the 516 58 15 16 third time, she ran 16 mile. If she continued this pattern, when was the first time she ran more than 1 mile? Complete the explanation Express the fraction as a mixed number in simplest form. mile(s) every new time she ran. Therefore, the ? time, Vicki had a pastem of adding she ran milles
Answer:
Afar fom what i've got from another question on Brainly. I might be wrong but It could Possibly be The 6th Time Vicki Runs!
Step-by-step explanation:
I apologise if this isnt the answer..............
Trey will attend a -year college, and he is planning his budget.
Answer the following.
(a) Below is an estimate of all his expenses and sources of funding for his -year college education.
For each, select whether it is an expense or a source of funding.
Expense Funding
Scholarships:
Grants:
Housing and food:
Work-study (part-time job):
Personal expenses:
Transportation:
Tuition and fees:
Books and supplies:
(b) What is the total of his estimated expenses?
(c) What is the total of his estimated funding?
(d) Can Trey expect to have enough money for his education? How much is the difference?
The examples of funding include scholarship, grants, part time job, etc.
What is funding?Your information is incomplete as the values aren't given. Therefore, an overview will be given.
The funding are needed to cater for school fees and other necessary fees. They include scholarship, grants, and part time job.
The expenses are books, transportation, housing, books, and food.
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