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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The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation h = 0.75 cosine (startfraction pi over 30 endfraction (t minus 15)) 8. which number (from 1 to 12) is the minute hand pointing to at t = 0? 3 6 9 12
The height of the tip of the minute hand of a wall clock is 9 ft. Then the correct option is C.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The height, h, in feet of the tip of the minute hand of a wall clock as a function of time, t, in minutes can be modeled by the equation
[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(t-15)} \right ) + 8\\[/tex]
When t = 0, then the value of the h will be
[tex]h =0.75 \cos \left ( \dfrac{\pi}{30(0-15)} \right ) + 8\\\\\\h =0.75 \cos \left ( \dfrac{\pi}{-450} \right ) + 8\\\\\\h =0.75 \cos \times 0.9999+ 8\\\\\\h = 0.74998+8\\\\\\h = 8.74889 \approx 9[/tex]
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Answer:
9
Step-by-step explanation:
The answer above is correct.
Please answer #3, I’ll give brainliest to the best answer
Answer:
23/42 or 0.547619048
Steps are given below in the picture
I hope my answer helps you.
Most cereal boxes are about 12 inches tall, 8 inches wide, and 2 inches deep. 1. Calculate the volume and surface area of a standard cereal box. Be sure to write down the formulas used and show all work 2. Calculate the cost of manufacturing a standard cereal box if cardboard cost $0.05 per square inch. show all work
Answer:
Volume: 192 cubic inches
Surface area: 272 square inches
Manufacturing cost: $13.60
if the simple interest on $800 for 3 years is $60, what is the rate of interest per annum
Answer:
2.5%
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = total interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
I = $60P = $800t = 3 yearsSubstituting given values into the formula and solving for r:
⇒ 60 = 800 · r · 3
⇒ 60 = 2400r
⇒ r = 0.025
Converting r to percentage:
0.025 × 100% = 2.5%
Answer:
2.5%
Step-by-step explanation:
Given:
Principle: $800Time: 3 yearsSimple interest: $60Formula:
Simple interest = (Principle × Rate × Time)/100
Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.
[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]
Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.
[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]
[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]
Simplify both sides of the equation:
[tex]\implies60 ={ 24\times \text{Rate}}[/tex]
Divide both sides by 24.
[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]
Simplify both sides as needed:
[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]
[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]
[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]
Thus, the rate of interest per annum is 2.5%.
simplify the following quadratic expressions
1) 2x^2 -3x -9
2) 3x^2 +5x +2
Answer:
Below in bold.
Step-by-step explanation:
1) 2x^2 -3x -9
2 * -9 = -18. We need 2 numbers whose product is -18 and whose sum is -3. They are -6 and + 3. So:
= 2x^2 - 6x + 3x - 9
= 2x(x - 3) + 3(x - 3)
= (2x + 3)(x - 3)
2) 3x^2 + 5x +2
Now 3 * 2 = 6 We need to numbers whose product is + 6 and whose sum is +5. Theres are + 3 and + 2>
= 3x^2 + 3x + 2x + 2
= 3x(x + 1) + 2(x + 1)
= (3x + 2)(x + 1)
=
What is the least common multiple of 23, 39, and 8? Sum
does anyone know this
Answer:
7176
Step-by-step explanation:
23 is a prime factor.
3 & 13 are the prime factors of 39.
2, 2, & 2 are the prime factors of 8.
Determine the max. number of times each prime factor occurs.
Calculate: 2^3 x 3 x 13 x 23 = 7176
Answer:
7,176
Step-by-step explanation:
The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176
Hope this helps!
In the figure, AC = BC. Find the value of b.
Since AC = BC, we can say that this triangle is isoceles (at C)
In an isoceles triangle, the two angles that does not belong to the top angle (which in this case is C) is equal to each other.
Now, we can find the sum of the 2 missing angles : 180 - 52 = 128.
And since they are equal, we can find b : 128 : 2 = 64/
Answer:
nearly like 63 or 66
Step-by-step explanation:
use the protractor.
What steps do I need to take to solve the last part of this equation and how do I solve them using the quadratic formula?
Answer:
simplify the radical
Step-by-step explanation:
You have shown the solution using the quadratic formula.
The final step is to simplify the radical expression. That is done by factoring out perfect squares and simplifying the fraction.
[tex]x=\dfrac{\pm\sqrt{120}}{12}=\dfrac{\pm\sqrt{2^2\cdot30}}{12}=\dfrac{\pm2\sqrt{30}}{12}\\\\x=\dfrac{\pm\sqrt{30}}{6}=\left\{\dfrac{1}{6}\sqrt{30}\,,\ -\dfrac{1}{6}\sqrt{30}\right\}[/tex]
_____
Additional comment
0 is the additive identity element, so adding or subtracting zero changes nothing.
[tex]0\pm\sqrt{120}=\pm\sqrt{120}[/tex]
Please help!! What is the area to this figure??
Answer:
318
Step-by-step explanation:
find area of the big triangle then split the remaining shape into a large rectangle and a smaller rectangle
Answer:
318 mi²
Step-by-step explanation:
Formulae
Area of a rectangle = width x length
Area of a triangle = 1/2 x base x height
Divide the figure into 1 triangle and 2 rectangles (see attachment).
Area of Triangle 1 = 1/2 x (10 + 6 + (11 - 8)) x 22
= 1/2 x 19 x 22
= 209 mi²
Area of Rectangle 2 = 5 x (11 + 6)
= 85 mi²
Area of Rectangle 3 = 4 x 6
= 24 mi²
Total area = 209 + 85 + 24 = 318 mi²
make a math slogan (it should be catchy and meaningful)
Answer:
Be a wise girl or guy, Give math a try!
Step-by-step explanation:
Please help me with this thank you
Answer:
-11x² +14x -11
Step-by-step explanation:
When one polynomial is subtracted from another, each of the terms of the subtrahend is subtracted from the corresponding term of the minuend.
(-2x² +4x -10) -(9x² -10x +1)
= (-2 -9)x² +(4 -(-10))x +(-10 -1)
= -11x² +14x -11
45N,30N what is the resulant force on the boat
Answer:
15N.
Step-by-step explanation:
45 - 30
= 15N.
Answer:
15
Step-by-step explanation:
45N - 30N = 15N
The resultant force on the boat is 15N.
Enter the correct answer in the box.
If x≠0, what is the sum of 4^3vx^10 + 5x^33v8x in simplest form?
Step-by-step explanation:
Check out the attached photo. Leave a comment if something's confusing.
what is the probability of tossing a coin three times and getting tails each time?
Answer:
1/8
Step-by-step explanation:
This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.
The probability of flipping tails is 1/2. We need three of these.
1/2 x 1/2 x 1/2 = 1/8
Help me please
The polygons are similar. Find the value of x.
Answer:
12
Step-by-step explanation:
15/10=1.5
8 times 1.5=12
HELP PLEASE!
15 POINTS
Answer:
Its 58
Step-by-step explanation:
2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56
A tee shirt company charges $240 for 12 tee shirts. They charge the same amount of money for each shirt.
Which table represents the relationship between the number of tee shirts the company sells and the amount of money they charge?
Number of shirts Amount charged (dollars)
2 $24
4 $48
6 $72
8 $96
Number of shirts Amount charged (dollars)
5 $100
10 $200
15 $300
20 $400
Number of shirts Amount charged (dollars)
10 $240
11 $240
12 $240
13 $240
Number of shirts Amount charged (dollars)
12 $240
14 $264
16 $288
18 $312
Step-by-step explanation:
$240 for 12 t-shirts.
that means 240/12 = $20 per shirt.
therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.
all the other options use a different unit price.
An airplane flies with a constant speed
of 820 miles per hour. How far can it
travel in 1 hour?
820 miles
to find:how far the airplane can travel in an hour.
solution:x= v × t
x= 820 × 1
x= 820 miles
so, the airplane can travel 820 miles per hour.
Chris received some money for his birthday. Josh received double the amount Chris received.
If x represents the amount of money Chris received, how could you express the amount of
money Josh received, in terms of x?
Answer:
2x
Step-by-step explanation:
X = chris's money
2 times chris's money = 2x
Question Find the range of the data. 95,63,52,8,93,16,42,37,62 The range is
Answer: 87
Step-by-step explanation:
The range is the largest data value minus the smallest data value.
95 - 8 = 87
Find The area of the figure below
Answer:
wow asphalt theme I have that too in my quizziz
Flynn has $4 worth of quarters.
How many quarters does Flynn have?
4 quarters
16 quarters
40 quarters
80 quarters
Answer:
16 quarters
Step-by-step explanation:
4 x 4 = 16
$1 = 4 quarter
Flynn has 16 quarters.
HI can somebody outline it pls and tyy
Answer:
Step-by-step explanation:
*View the attached file*
Hope this helps!
Please Help Meeeee!!! Will Mark Brainliest!!!
Answer:
Part A: Yes. For every 10 employees, an increase of 80 products produced.
Part B: y = 8x + 120
Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees
Step-by-step explanation:
Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees
Part B: For y = mx + c ,
m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8
c = Y-intercept, when X = 0. Therefore c = 120
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
Answer:
Step-by-step explanation:
Find the surface area of the pyramid shown to the nearest whole number.
6ft 5ft 5ft
Answer:75,
Step-by-step explanation:
1/2 bh= A for one T 5*5=25 25*6= 150
150/2=75
OR
5*5/2=12.5
12.5*6=75
Twice a number added to their half of itself equals 20 find the number
Answer:
[tex]x(2) + 5\\[/tex]
The number is 8 because [tex]8 * 2 = 16[/tex]
And if you add 4, you get 20
Hence, the number is 8
Answer:
8
Step-by-step explanation:
let the number be x
=> 2x+(x/2) = 20
=> 4x+x/2 = 20
=> 5x/2 = 20
=> 5x = 20*2
=> 5x = 40
=> x = 40/5
=> x = 8
can i get brainliest
Antonio purchased a bin with the following measurements the diameter is 21 inches and the height is 36 inches. Solve terms of pi.
find the value of x
Answer:
82•5°
Step-by-step explanation:
[tex]28 + 68.5 + x = 180[/tex]
[tex]x = 180 - 97.5[/tex]
[tex]x = 82.5[/tex]
Here,
let the forth degree of the quadrilateral be y
Then,
90° +90° +68.5° + y =360° (all the interior angle of a quadrilateral is 360°)
or, 248.5+ y=360°
or, y = 360° - 248.5°
or, y= 111.5°
Again, the second angle of the triangle be a
Then,
a=111.5(vertically opposite angle)
Lastly,
29° + 111.5° + x = 180°(all the interior angle of a triangle is 180°)
or, 140.5° + x = 180°
or, x =180° - 140.5°
or, x=39.5°
What scientific value for n will make this equation true? (4.8 × 10–3)(n) = 9.6 × 109 2.0 × 10–6 2.0 × 10–3 2.0 × 103 2.0 × 1012
The scientific value for n that will make the equation (4.8 × 10^(-3))(n) = 9.6 × 10^9 true is given by: Option D: 2.0 × 10^(12)
How does scientific notations work?The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
Finding the value of n from the given equation:
[tex](4.5 \times 10^{-3}) \times n = 9.6 \times 10^9\\\\\text{Dividing both the sides by } (4.5 \times 10^{-3}) \\\\n = \dfrac{9.6 \times 10^9}{4.5 \times 10^{-3}} = \dfrac{9.6}{4.5} \times \dfrac{10^{9}}{10^{-3}}\\\\n \approx 2.1333 \times 10^{9-(-3)} = 2.1333 \times 10^{12} \approx 2.0 \times 10^{12}[/tex]
Thus, the scientific value for n that will make the equation (4.8 × 10–3)(n) = 9.6 × 10^9 true is given by: Option D: [tex]2.0 \times 10^{12}[/tex]
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Answer: D
Step-by-step explanation:
