Select the correct answer from each drop-down menu.
Use the given functions represented by the equation and the graph to complete the statements.
f(x)=2x^3 - 3x^2 + 5x + 7
As x approaches positive infinity, f(x) approaches [negative infinity, positive infinity, zero] and g(x) approaches [negative infinity, positive infinity, zero]. The y-intercept of function f is [equal to, less than, greater than] the y-intercept of function g.
Answers
Answer:
f(x) approaches positive infinity.
g(x) approaches negative infinity.
the y-intercept of f(x) is less than the y-intercept of g(x).
Step-by-step explanation:
the highest power of x in f(x) is 3, and it has a positive sign. so, the bigger x the more the x³ part will dominate.
therefore, with x going to positive infinity, also f(x) goes to positive infinity.
the graph of g(x) clearly dives down never to come back up or flatten out. so, with x going to positive infinity, g(x) goes to negative infinity.
the y-intercept of f(x) = f(0).
that means the functional value when x=0.
so, for x=0 this means
y = 2×0³ - 3×0² + 5×0 + 7 = 7
the graph of g(x) shows that g(0) is 8.
so f(0) is less than g(0).
As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5
How to analyze the behavior of two given polynomialsPolynomials are algebraic expressions whose form is described below:
[tex]y = \sum \limits_{i = 0}^{n} c_{i}\cdot x^{i}[/tex] (1)
Where [tex]c_{i}[/tex] is the i-th coefficient of the polynomial.
In this question we have two polynomials in two distinct presentations, an analytical and a graphical one, whose behaviors must be analyzed to fill the blanks of the paragraph given. The complete paragraph is shown below:
As x approaches positive infinity, f(x) approaches positive infinity and g(x) approaches negative infinity. The y-intercept of the function f is 7 and the y-intercept of function g is 8. #SPJ5
To learn more on polynomials, we kindly invite to check this: https://brainly.com/question/20121808 #SPJ5
Related Questions
Hey there, Please help me. Thank you
Answers
Answer:
(-5,-15)
Step-by-step explanation:
Answer:
(-5,-15)
Step-by-step explanation:
3x=2x-5
-2x -2x
x=-5
y=3(-5)
y=-15
Evaluate -8•|2|
-10
10
-16
16
Answers
Answer:
-16
Step-by-step explanation:
-8•|2|
Absolute value means take the positive value of the number inside
-8 * +2
Multiply
-16
In the diagram beside QRS is a straight line QP/RT ‹ PRQ = 56 ‹ QPR = 84 and ‹+RS X° X find x
Answers
Answer:
x = 40
Step-by-step explanation:
< PQR = 180° - (84° + 56°)
= 40°
so x = 40° (corresponding angles QP// RT)
A gnat's eye is 0.012
inches wide. A fly's eye is
2.4 x 10-1 inches wide.
How much larger is the
fly's eye?
Answers
Which expression is equivalent to the given expression?
Answers
Answer:
Step-by-step explanation:
20cd^-1
All of the following numbers are rational except _____.
Answers
Answer:
What are the numbers?
Step-by-step explanation:
I can help if you give the numbers :)
Help me please no links no
Answers
Answer:
x/4
Step-by-step explanation:
x + 4/4 = y + 3/3
do cross multiplication
4(y +3)=3(x +4)
4y +12=3x +12
4y=3x + 12 -12
4y=3x
y/3 = x/4
help please!!..........
Answers
Answer: 0.36
Hope this helps...
Have a great day.
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
Answers
Answer:
3rd option
Step-by-step explanation:
Solving the inequality
- 10 < 3x - 4 < 8 ( add 4 to each interval )
- 6 < 3x < 12 ( divide each interval by 3 )
- 2 < x < 4
Since -2 less than x and x less than 4
This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.
The solution is represented on the 3rd graph
Answer:
its the 3rd graph
Step-by-step explanation:
HELP ASAP!!! Identify y.
Answers
Answer:
y=2
Step-by-step explanation:
53y–16= 90
53y=90+16
53y=106
y=106/53
y=2
Answer:
y = 2
Step-by-step explanation:
If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.
Therefor
53y - 16 = 90
add 16 to both sides
53y = 106
Divide both sides by 53
y = 106/53
y = 2
Mrs. Easton plans to hire a balloon artist for her daughter's birthday. The graph shows the cost per hour to hire the artist.
If there are more than 10 children at the party, the balloon artist charges an additional supply fee of $35. There will be 15 children at the Easton party. How much will the balloon artist charge Mrs. Easton for a party that is 4.5 hours long?
Multiple choice question.
A)
$60.25
B)
$67.50
C)
$98.75
D)
$102.50
Help ASAP
Answers
Explanation:
Answer:
I believe it is A) 60.25
Step-by-step explanation:
If it is not correct, let me know.
Anyone will have time to do this for me pls?
Answers
x= -4
y= -7
Hope it helps you...
6. Find the area of the figure below. Round to the hundredths place.
Answers
Answer:
300.94 sq.m
Step-by-step explanation:
A solid in the shape of cylinder with two hemisphere to each of its ends.
Length of the entire solid = 18 mDiameter of the solid = 7 mRadius of hemisphere , r = 7 / 2 = 3.5 mTo findTotal surface area Formula UsedCurved surface area of hemisphere= 2π ×r ²Curved surface area of cylinder = 2 π × r × hSolution :-Finding, the Curved surface area of cylinder
Calculate the height of cylinder
Height of cylinder = total length of solid - 2 × radius of hemisphereHeight of the cylinder = 18 m - 2 × 3.5= 18 m - 7 mHeight of cylinder = 11 m
Now, we have
Height of cylinder = 11 m
Radius of cylinder = 7 / 2 = 3.5 m
Using Formula :-
Curved surface area of cylinder = 2× π × r × h
Substitute the values
Curved surface area of cylinder = 2π× 3.5m×11m.
Using the value of π = 3.14
Curved surface area of cylinder =2×3.14× 3.5m × 11 m.
multiply, we get.
Curved surface area of cylinder = 241.78 m².
Finding curved surface area of hemisphere
Using Formula
Curved surface area of hemisphere = 2 × π × r²
substitute the values into the formula
Curved surface area of hemisphere = 2 π × ( 3.5 )²
Evaluate the exponent
Curved surface area of hemisphere =2π×12.25m².
Using value of π = 3.14
Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²
multiply , we get
Curved surface area of hemisphere = 76.93 m².
Find the total areaTotal area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)
Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².
Total surface area = 241.78m² + 153.86m².
Subtract and finally we get
Total surface area = 395.64 m ²
HELLPPPP LIKE ASAP PLEASE!! Each of these numbers represents the score that a student got on a set of math tests. What is the median of this set of data?
86, 72, 65, 82, 91, 94
NO LINKS!
Answers
Answer:
81.66 repeating
Step-by-step explanation:
86+72+65+82+91+94=490
490÷6=81.66 repeating
EDIT: this answer is false
The temperature in Anchorage, Alaska one morning was -8 degrees Fahrenheit. It rose slightly, increasing only 10 degrees by lunchtime. By dinnertime, the temperature had fallen 8 degrees. What was the ending temperature?
Answers
Answer:
The ending temperature was -6 degrees Fahrenheit.
Step-by-step explanation:
First, it was -8 degrees
Then, it was -8+10=2 degrees
Lastly, it was 2-8=-6 degrees
ZABC and ZQRS are complementary angles. If the measure of ZABC= 41º, what is the measure of ZQRS?
Answers
Answer:
m∠QRS = 139°
Step-by-step explanation:
yes
point e is the midpoint of ca and bd. which statements about the diagram are true?
Answers
Answer:
Step-by-step explanation: i don’t know to be honest
11. What is the perimeter of the garden?
Answers
Answer:
19[tex]\frac{1}{4}[/tex] or 18[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
First, add the whole numbers
3, 7, and 8
18
Add the fractions
[tex]\frac{1}{2}[/tex]+[tex]\frac{3}{4}[/tex]=[tex]\frac{5}{4}[/tex]
IF YOU WANT SIMPLIFIED NUMBER DO THIS
[tex]\frac{5}{4}[/tex]=1[tex]\frac{1}{4}[/tex]
18+1[tex]\frac{1}{4}[/tex]=19[tex]\frac{1}{4}[/tex]
Complete the table. Function: f (x) = x+2
Answers
4:(6)
7:(8)
8:(9)
A watch that originally cost $110 has been marked down to $88. What is the percent of the markdown?
12%
10%
25%
20%
Answers
Answer:
20%
Step-by-step explanation:
110-88=22
22/110=20
PLEASE HELP WILL NAME BRAINLIEST NO LINKS PLEASE
Use the drawing tool(s) to form the correct answer on the provided graph.
Plot the axis of symmetry and the vertex for this function:
h(x) = (x - 5)2 - 7.
Answers
Answer:
Step-by-step explanation:
First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.
Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).
Hope this helps!
:)
what is 20/100 in it's simplest form?
ik this i just wanna give someone my points lol
Answers
Answer:
1/5
Step-by-step explanation:
20/100
Divide the top and bottom by 20
20/20 =1
100/20 =5
20/100 = 1/5
20/100
Divide the top and bottom by 20
20/20 =1
100/20 =5
20/100 = 1/5
[tex] \tt \: \verified \: \: \: \red{ \checkmark}[/tex]
A cube has a side length of 5xcm. What is the volume of the cube?
no links please.
Answers
Answer:
125 cm
Step-by-step explanation:
[tex]V=lwh[/tex]
all cube has the same length, width, height
5 * 5 * 5 = 125
Hope this helps
Mr. Brutry ordered 78 pencils for the students in his class. He ordered enough pencils for each student to have exactly 3
pencils.
How many students are in Mr. Bruno's class?
Use a letter to represent the number of students in Mr. Bruno's class.
Write an equation and use it to solve the word problem.
Answers
Answer:
He has 26 students
Step-by-step explanation:
78/3=26
15 years from now Ravi's age will be 4 times his present age what is Ravi's present age
Answers
Answer:
Ravi’s present age will be 5.
Step-by-step explanation:
From the given, Let Ravi’s present age is taken as "a" years.
After 15 years, his age = (a+15) years.
By the given, it is identified that the age of Ravi after 15 years is equal to the 4 times of his present age.
Given,
[tex]a+15+4a\\4a-a+15\\3a=15\\a=15/3\\a=5[/tex]
Then, it has been found that the present age of Ravi is 5 when his age after 15 years will be 4 times of his present age.
6 I think Sry if I wrong________
Please help
Find the range of the given data set.
Answers
Answer:
5/8
Step-by-step explanation:
The range is the largest number minus the smallest number
The largest number is 1 1/4 and the smallest number is 5/8
1 1/4 - 5/8
Getting a common denominator
1 2/8 - 5/8
Borrowing from the 1 in the form of 8/8
8/8+2/8 - 5/8
10/8 - 5/8
5/8
Answer:
5/8
Step-by-step explanation:
because 1 1/4 is 5/4 then x2 which is 10/4 so now you 10/4 - 5/8 which equals 5/8 as the difference.
Find the number of sides of a regular polygon if exterior angle of the polygon is:- (a) 90 (b) 45 (c) 12 (d) 4
Answers
Answer:
8 sides
Step-by-step explanation:
THE QUESTION IS NOT COMPLETE, SO A QUESTION OF THE SAME TYPE
Find the number of sides of a regular polygon if exterior angle of the polygon is 45°?
NOTE:
Sum of the exterior angles of any regular polygon is known as (360°)
But from the question,
Each exterior angle is given as( 45°)
Number of sides of a regular polygon can be computed as
(360°/Each exterior angle)
Then substitute the give value of exterior angle, we have
= (360°/45) = 8 sides
50 POINTS
Find the approximate values of the five-number summary for the data set represented by this box plot.
Answers
Answer:
From the box plot we get:
Minimum - 14Maximum - 88Quartile 1 - 34Quartile 3 - 65Median - 48Answer:
the other person is correct!
Step-by-step explanation:
Show them some love <3!
[tex] \frac{12}{20} - \frac{30}{20} [/tex]
Answers
Answer:
-9/10
Step-by-step explanation:
12/20 - 30/20
Since the denominators are the same, we can subtract the numerators
12-30 = -18
Put this over the denominator
-18/20
Simplify by dividing the top and bottom by 2
-9/10
Find the sum of the arithmetic series...........
3 + 5 + 7 + 9 + 11 + for 100 terms.
Answers
Answer:
Step-by-step explanation:
3 + 5 +7 +9 + 11 + ....
n = 100
a = 3
d = 5 - 3 = 2
[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]
