URGENTTTTT
Describe the graph of f(x)=-3(x+1)^2 (x-3) (x-5)^3. Include as much information in your description as possible.
(i will not click on links so dont even try-)
The graph is not symmetric, and it has no vertical or horizontal asymptotes.
What is coordinate geometry ?Coordinate geometry is a branch of mathematics that combines algebraic and geometric concepts to study the properties of geometric figures using a coordinate system. It involves representing geometric figures such as points, lines, curves, and shapes in a plane or space using numerical values called coordinates.
According to given information :The graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a cubic polynomial function with several important characteristics:
Degree: The degree of the function is 7, which means that the graph has 7 x-intercepts.
Symmetry: The function is not symmetric with respect to the y-axis or the origin.
End Behavior: As x approaches negative infinity, the function approaches negative infinity, and as x approaches positive infinity, the function approaches negative infinity.
Zeros: The function has x-intercepts at x = -1, x = 3, and x = 5. The intercept at x = -1 has a multiplicity of 2, while the intercepts at x = 3 and x = 5 have a multiplicity of 3. This means that the graph touches the x-axis at x = -1 and bounces off at x = 3 and x = 5.
Turning Points: The function has two turning points, one at x = -1 and one at x = 3. The turning point at x = -1 is a local maximum, while the turning point at x = 3 is a local minimum.
Behavior near Zeros: Near each of the x-intercepts, the function changes direction. At x = -1, the function changes from decreasing to increasing. At x = 3 and x = 5, the function changes from increasing to decreasing.
Vertical Asymptotes: The function has no vertical asymptotes.
Horizontal Asymptotes: The function has no horizontal asymptotes.
Intercepts: The y-intercept of the function is at y = 0.
Overall, the graph of the function [tex]f(x)=-3(x+1)^2 (x-3) (x-5)^3[/tex] is a complicated cubic polynomial with multiple x-intercepts, turning points, and changing directions near the intercepts.
Therefore, the graph is not symmetric, and it has no vertical or horizontal asymptotes.
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no links please help!!!
Answer:
5. During the day, the temperature on the surface of Mars rises at a rate of 9 degrees C every hour
a. In 2 hours: 18 a. in 3 hours: 27 in n hours: 9n
b. y=9n
c. 108
d. -540
6. Kaite saves 5 dollars every week, so far she has saved a total of $63
a. y=5x+63
b. 25
hope it helps
Kathi's order at the diner cost $12.75. She had
to pay 6% tax on the bill. How much is her tax?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 12.75}}{\left( \cfrac{6}{100} \right)12.75}\implies 0.765~~\approx 0.77~~\textit{about 77 cents}[/tex]
What is the length of the hypotenuse in the right
triangle?
O 2,593 cm
O 60 cm
14,225 cm
O 65 cm
Answer:
sqrt(2593)
Step-by-step explanation:
17^2+48^2 = 2593^2
Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 18 questions he thought he got wrong.
It turns out that Colin got 3 questions right that he thought he got wrong.
Colin also got a total score of 27 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?
Answer:
65.2%
Step-by-step explanation:
Explanation is in photo.~Hope this helps~
(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
#a
H(0)
It refers to y value on graph when x is 0
So here it refers to y intercept
y intercept (0,5)Hence
H(0)=5#b
Observe the graph
y intercept is not 0 so it's not true
#3
Domain is set of x values in graph
[0,oo)#4
Range is set of y values on graph
[5,50]Which rule best describes the pattern?
3, 9, 27, 81, ___, ____, ___
A. Add by 6
B. Add by 6, add by 18
C. Divide by 3
D. Multiply by 3
Answer:
D. Multiply by 3
Step-by-step explanation:
Given:
A sequence 3,9,27,81,__,__,__To find:
PatternNotice that if you keep multiplying by 3:
3*3 = 99*3 = 2727*3 = 81Then you will get exact sequence as given, so next 3 missing terms have to be:
81*3 = 243243*3 = 729729*3 = 2187Hence, the pattern for this sequence is to multiply by 3.
Note
This given sequence is called Geometric Sequence, a sequence with common ratio.Common Ratio can be found by dividing next term with previous term. (I.e. 9/3 = 3 so a common ratio for this sequence is 3)By multiplying previous term with a common ratio, you get the next term.Type the expression that
results from the following
series of steps:
Start with n, subtract 5,
multiply by 4, then add 7.
Answer:
I think it is (n - 5) x 4 - 7, but I am not sure.
How would we add -3 + (-9) on the number line?
Answer:
-12
Step-by-step explanation:
1. Create an Equation
-3-9
2. Solve
-3-9 <=== subtract -3 and -9 together to get your answer
-12
3. Check
-12+3 <=== create this equation or this one ===> -12+9 to check if we calculated correctly
-12+3= -9 -12+9= -3
this shows the answer is corrrect
Thirteen people are entered in a race. If there are no ties, in how many ways can the first three places be awarded?
Answer:
666.888.000.333
Step-by-step explanation:
yeah I said what I said
bye
8664 ÷ 26 with remainder
Answer:
six hundred and sixty-two by twenty-six
Step-by-step explanation:
Answer:
333 remainder 6
Step-by-step explanation:
333 R 6
26/8664
- 78
086
- 78
084
-78
6
I struggled to show the work formatted how I would normally write this problem out, so I'll also talk through how I got the answer.
The first step in long division by hand is to take the number that is furthest to the left and seeing how many times your divisor (26) will go into it.
In this case the digit in the thoudands place (our furthest left) is 8. Obivously 26 does not fit into 8. So our answer will have a 0 in the thousands place and we move one place to the right.
We now have 86. 26 fits into 86 three times and leaves a difference of 8 remaining in the hundreds place, and we move the right again to the tens place.
We again have 86. 26 again fits in three time and leaves a difference of 8. As we move to the right to the ones place we are left with 84.
26 fits into 84 three times, but we have a difference of 6 this time.
We cannot continue as 26 will never fit into our remainder of 6.
We had a 0 in the thousands place, a 3 in the hundreds place, a 3 in the tens place and a 3 in the ones palce with 6 left over.
So the final answer is 333 remainder 6
use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0
Answer:
One solution
Step-by-step explanation:
Discriminant
[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]
[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]
[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]
Given equation:
[tex]-8x^2-8x-2=0[/tex]
Swap sides:
[tex]\implies 8x^2+8x+2=0[/tex]
Using discriminant:
[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]
Therefore, there is one solution
--------------------------------------------------------------------------------------------
Proof
[tex]8x^2+8x+2=0[/tex]
Divide both sides by 2:
[tex]\implies 4x^2+4x+1=0[/tex]
Separate the middle term:
[tex]\implies 4x^2+2x+2x+1=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (2x+1)(2x+1)=0[/tex]
Therefore:
[tex]\implies 2x+1=0[/tex]
[tex]\implies x=-\dfrac12[/tex]
Thus proving there is one solution.
Here
a=-8b=-8c=-2Discriminate
D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0Roots are equal hence one solution
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Answer:
First option
Step-by-step explanation:
Given the following question:
[tex]x+3=5[/tex]
To find the answer we need to subtract three on both sides, since we are given a positive three ( + 3) instead of a negative three (- 3) If the equation was " x - 3 = 5 " we would then add three on both sides but in this case we have a positive three.
[tex]x+3=5[/tex]
[tex]3-3=0[/tex]
[tex]5-3=2[/tex]
[tex]x=2[/tex]
Which means your answer is the first option or "subtract 3 from both sides."
Hope this helps.
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.
Answer:
Step-by-step explanation:
Answer:
cosA = [tex]\frac{9}{41}[/tex]
Step-by-step explanation:
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{9}{41}[/tex]
What is the formula for area of a triangle?
Answer:
bh/2
Meaning :
base times height, halfed
Answer:
Step-by-step explanation:
A = hb/2 or 1/2×hb
Where h is the vertical height and b is the base length.
Felix has $100 in an account that earns 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
Based on the amount that Felix deposited in the account and the 5% compounded annual interest, the interest Felix will earn in 2 years is $10.25
How to find the interest earned?First, find the amount the $100 would have accrued to in 2 years:
= Amount deposited x (1 + rate) ^ number of years
Solving gives:
= 100 x (1 + 5%)²
= $110.25
The interest earned is:
= Amount in 2 years - Amount deposited
= 110.25 - 100
= $10.25
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Answer:10.25
Step-by-step explanation:
Amy has 5.26 more pounds of apples than Shelly. Shelly has 4.87 pounds of apples. How many pounds of apples does Amy have?
Answer:
According to my calculation it came like this.Hope the picture will help you.
The angle of elevation of the top of a building from the foot of a tower is 70° and the angle of elevation of the top of the tower from the foot of the building is 40°. Find the height of the building if the tower is 50 m tall.
The height of the building located at a distance from the tower is approximately 163.716 meters.
How to determine the height of a building
After a careful reading to the statement, we represent all the information given in a geometric diagram. In this question we must apply trigonometric relationships to calculate the height of the building (h), in meters, based on the fact of the existing two right triangles. The diagram is presented in the image attached below.
Now we proceed to calculate the height of the building:
[tex]h = \left(\frac{50\,m}{\tan 40^{\circ}} \right)\cdot \tan 70^{\circ}[/tex]
h ≈ 163.716 m
The height of the building located at a distance from the tower is approximately 163.716 meters. [tex]\blacksquare[/tex]
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If m2=n , then the square root of
Answer:
m = ± [tex]\sqrt{n}[/tex]
Step-by-step explanation:
m² = n ( take square root of both sides )
m = ± [tex]\sqrt{n}[/tex]
The triangles are similar.
What is the value of x?
Enter your answer in the box.
Answer:
x=4
Step-by-step explanation:
3x+8 = 20
subtract 8 both sides
3x=12
divide 3 both sides
x=4
Convert 1 gallon to fluid ounces. 1 gal = ______ fl oz (Just put the number answer.) *
Answer:
153.722 fl oz
I need real answers not links
Without going too much into the proofs angle ACD is congruent to angle DBA.
If ACD is ~= DBA then
ACD = 54 degrees
Explanation:
The figure is a reflection. While orientation isnt preserved in reflections side lengths and angle measures are.
This means that both triangles have the same side length measures and have the same angle measures.
You are given the angle measures of one of the triangles. We also know both triangles are congruent since they both fit perfectly inscribed in the circle.
With this in mind you can prove that all the angles of each triangle are congruent.
Thus
ACD = 54 degrees
Please I need step by step solution.
Q/ sin135° Use half angle identity.
Answer:
Step-by-step explanation:
Sin (90 + Ф ) =Cos Ф
135° = 90 + 45
Sin 135° = Sin (90 + 45)
= Cos 45°
[tex]= \dfrac{1}{\sqrt{2}}[/tex]
The manager of a sporting goods store ordered 256 packages of football cards. There are 24 cards in each package how many cards did the manager order?
Answer:
6144
Step-by-step explanation:
The answer is 6144 because if you do 256×24 you will get 6144
Annie traveled 2/7 parts of her trip in the first hour, and then 1/8 parts in the second hour. She plans to rest when she has completed half of her trip. Is it time for Annie to rest? If it is not, what part of the trip does Annie still need to travel before she can rest?
please help!! i’ll give brainliest
Find the circumference of this circle. Use 3.14 to approximate T.
C = 27r
14 ft
C = [ ? ] ft
Answer:
43.98229 ft
Step-by-step explanation:
The diameter is 14ft, meaning the radius, which is half of it, is 7ft. Plug 7 into the r. C= 2pi(7) which 14pi. Now you multiply 14 by 3.14, which is the value of pi, and round it to whatever you need to give you your value.
The value of circumference of this circle is,
⇒ circumference = 14π ft
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Diameter = 14 ft
Hence, We get;
Radius = 7 ft
Thus, The value of circumference of this circle is,
⇒ circumference = 2πr
⇒ circumference = 2 × π × 7
⇒ circumference = 14π ft
Thus, The value of circumference of this circle is,
⇒ circumference = 14π ft
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what is the equation of line a
Step-by-step explanation:
The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables and c is the constant term. The other different forms to find and represent the equation of a line are slope-intercept form, point-slope form, two-point form, intercept form, and normal form.
[tex]\frac{2x^{2} -50}{x^{2} +7x+10}[/tex]
Step-by-step explanation:
[tex] \frac{2 {x}^{2} - 50}{ {x}^{2} + 7x + 10 } [/tex]
[tex] \frac{2( {x}^{2} - 25) }{(x + 5)(x + 2} [/tex]
[tex] \frac{2(x + 5)(x - 5)}{(x + 5)(x + 2)} [/tex]
[tex] \frac{2(x - 5)}{x + 2} [/tex]
Factor the expressions 7 – 42
Answer:
7 (1-6)
Step-by-step explanation:
you find the greatest common factor of 7 and 42.
7
7x1
42
1x42
2x21
3x14
6x7
1. What number is 35% of 80?
Answer: 28
Step-by-step explanation: 80 x 0.35 = 28
when we multilpy we get 80×0.35 = 28