Answer:
Domain: [tex](-\infty,\infty)[/tex]
Step-by-step explanation:
The domain of a function is all values of x such that f(x) exists.
In our case we have the following function:
[tex]f(x)=x^{3}-5x+3[/tex]
We know that x and f(x) are real numbers, therefore the domain will be the interval [tex](-\infty,\infty)[/tex], or in other words, the domain is all real numbers.
I hope it helps you!
Easy only shapes there might be multiple answers but it could only be 1 answer
Answer:
I think this one would be none of the above
Answer:
D
Step-by-step explanation:
none of the above
differentiate t²sin(2t)
Answer:
[tex]\displaystyle \large{y\prime = 2t \sin (2t) + 2t^2 \cos (2t)}[/tex]
Step-by-step explanation:
We are given a function:
[tex]\displaystyle \large{y = t^2 \sin (2t)}[/tex]
To differentiate a function, we are going to use the product rules since there are two functions which are t^2 and sin(2t) multiplying together.
From the product rules, [tex]\displaystyle \large{y = f(x)g(x) \to y\prime = f\prime (x) g(x)+f(x) g\prime (x)}[/tex]
Therefore, [tex]\displaystyle \large{y = t^2 \sin (2t) \to y\prime = (t^2)\prime \sin (2t) + t^2 (\sin (2t))\prime}[/tex]
Before we start differentiating, I’d like you to look at [sin(2t)]’. A function like this, you cannot just directly derive and answer. You need to use chain rules.
We know that, [tex]\displaystyle \large{y = \sin (x) \to y\prime = \cos (x)}[/tex] but what if the “x” is another function? Like sin(3x), sin(x^2) as examples. The insides are another function, can be expressed as fog(x) or gof(x) is composite function.
Basically, chain rule is a rule or formula for composite function and it’s the most common and useful as well as being always used in differentiation.
Chain Rules
[tex]\displaystyle \large{\frac{dy}{dx} = \frac{dy}{du} \frac{du}{dx}}[/tex]
where u is another function in a bracket. From the formula above, it can be also written as:
[tex]\displaystyle \large{[f(g(x))]\prime = f(g(x))\prime \cdot g(x)\prime[/tex]
To simply say, you differentiate the whole function first then multiply with the chain or inner derived function.
So from the function, we obtain:
[tex]\displaystyle \large{y\prime = 2t \sin (2t) + t^2 \cos (2t) \cdot (2t)\prime}\\ \displaystyle \large{y\prime = 2t \sin (2t) + t^2 \cos (2t) \cdot 2}\\ \displaystyle \large{y\prime = 2t \sin (2t) + 2t^2 \cos (2t)}[/tex]
The factored form would be:
[tex]\displaystyle \large{y\prime = 2t ( \sin (2t) + t \cos (2t))}[/tex]
From above, for polynomial function, to differentiate, you can do by using the power rules.
Power Rules
[tex]\displaystyle \large{y = ax^n \to y\prime = nax^{n-1}}[/tex]
I need help please. Thank you.
Answer:
The answer is A
Step-by-step explanation:
you're welcome
What is the number based on the list of factors? 1,3,7, __
Please help
Answer:
21 I think, might be wrong.
Math problem please help
A student bake sale is selling baked goods. In total they sell 100 pieces of baking, Chocolate chip cookies sell for $0.50 and Muffins for $1.25. The total money earned from the bake sale came to 68.75. How many muffins did they sell?
Answer:
The number of muffins sold by the students is:
25 muffins.Step-by-step explanation:
First, we name the variables:
C= Number of chocolate chip cookies sold.M= Number of muffins sold.Now we establish the equations with the information given in the exercise:
C + M = 1000.5C + 1.25M = 68.75We can use in this case the reduction method, to this, we multiply the first equation by (-0.5) obtaining the equation 3:
[C + M = 100] * (-0.5) = -0.5C - 0.5M = -503. -0.5C - 0.5M = -50
We operate the equations 2 and 3 to eliminate the variable C:
(0.5C + 1.25M = 68.75) + (-0.5C - 0.5M = -50) = (0.75M = 18.75)And we solve for the variable M:
0.75M = 18.75M = 18.75/0.75M = 25We could stop here because we know the number of muffins now, but with the value for M, we can solve the value of C with the first equation to check the answer is correct:
C + M = 100C + 25 = 100C = 100 - 25C = 75In the end, we replace the values in the second equation and verify if the answer is correct:
0.5C + 1.25M = 68.750.5 * (75) + 1.25 * (25) = 68.7537.5 + 31.25 = 68.7568.75 = 68.75which expression is equivalent to -15x + 39
a. -3(5x-13)
b. -3(5x+13)
c. 3(5x-13)
d. 3(5x+13)
Answer:
a.
Step-by-step explanation:
All you have to do is distribute them
a.) -15x + 39
b.) -15x - 39
c.) 15x - 39
d.) 15 + 39
The one equivalent to -15x + 39 is A
Gina can write 3 pages per hour. Emily can write 5 pages per hour. If they both write for x number of hours, how many pages will they write altogether? *
x (3 + 5)
x (4 + 4)
3 (x + 5)
5 (3 + x)
Answer:
3 (x+5)
Step-by-step explanation:
Did Vernon solve for the correct value of x? If not, explain where he made his error
Answerr:
I think he made the errrorr.
Step-by-step explanation:
He made his errrorr on the thirrd one.
Answer:
he made an error on the third one
Raise b to the 7th power, then find the quotient of the result and 8
Answer:
b^7 / 8.
Step-by-step explanation:
How do I round up 12,853 to the largest place value
Answer:
12953
Step-by-step explanation:
Simplify secxcscx/1+tan^2x.
Answer:
It's cot x :)
Step-by-step explanation:
I'm not really good at explaining,but I know that's the answer :))
Pleaseee helpp ASAP....
Answer:
x intercept= (-250,0)
y intercept=(0,100)
Step-by-step explanation:
At Mario's restaurant, 59% of his plates are dirty. If there are 118 dirty plates, how many plates are there total?
9514 1404 393
Answer:
200
Step-by-step explanation:
If P is the total number of plates, we have ...
0.59P = 118
P = 118/0.59 = 200
There are 200 plates total.
please help, teacher doesn’t explain anything and i have no clue what to do.
Answer:
1) TP = 13
2) x = 2
3) m<RAP = 63° m<TEZ = 63° m<PTR = 117°
4) x = 4
Glad to help anytime!
When a number is increased by 35, the result is 38. What equation fits this statement
Answer:
3 + 35 = 38?
Step-by-step explanation:
-0%
Here is the velocity-time graph of a car
for 40 seconds.
a) Work out the average
acceleration during the
40 seconds.
Give the units of your answer.
30
Velocity
(m/s)
20
10
b) Estimate the time during the
40 seconds when the
instantaneous acceleration
is equal to the
average acceleration
You must show your working
on the graph to get full marks.
Answer seconds
Give your answer to
the nearest second
0-
0
10
30
40
20
Time (s)
Answer:
a) 0.75m/s^2
b)10
Step-by-step explanation:
a) gradient is change in y/change in x
30/40= 3/4
=0.75m/s^2
PLEASE HELP ME I WILL MARK YOU BRAINLIST
Answer:
37.5
Step-by-step explanation:
if it decreases by 1/2 every 8 hours;
( 3×8= 24)
the first 8 hours 1/2×300 =150 gram
the second 8 hours(16 hours) = 1/2×150=75 gram
the third 8 hours(24 hours) = 1/2×75= 37.5gram
Answer:
C
Step-by-step explanation:
It's because Magnesium-27 is 8 hours which makes the 300/8=37.5
What is the arithmetic mean of the following numbers?
8 10 8 5 4 7 5 10 8
Solve this equation 52! / (52-5)!5!
Answer:
C= 2,598,960
Step-by-step explanation:
let me know if you want a step by step explanation!
Help 35 points
Which value of c markes
Answer:
x=6 Isolate the variable by dividing each side by factors that don't contain the variable.
HELLO HELPPP PLEASE ASAPPP
What does 2pi/5 look like in standard position? Please consider my question, It would help me so much.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The terminal ray of the angle is shown in the attachment. 2π/5 radians is 72°. Angles are measured counterclockwise (CCW) from the +x axis.
__
π radians is 180°
The angle lines are shown every 15° in the attached. 72° is just short of the 75° represented by the angle line before π/2.
Solve the combined inequality,
Jasmin plans to buy at least 8 gallons of gas but no more than 14 gallons of gas. The cost of gas with tax is $3.81 per gallon
What range of values describes the total cost of Jasmin's gas purchase?
Enter your answer by filling in the boxes.
Answer:
from 30.48 till 53.34
Step-by-step explanation:
3.81×8=30.48
3.81×14=53.34
The range is 30.48 to 53.34
What is Unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary MethodFirst, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
cost of gas with tax is $3.81 per gallon
But gas should be less than 14 gallons and not more than 8 gallons.
So,
=3.81×8
=30.48
3.81×14
=53.34
Hence, the range is 30.48 to 53.34,
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ5
Find the area of a rectangle that measures 3 feet by 4 inches. Give the area in square inches.
Answer:
144 sq inches
Step-by-step explanation:
3ft= 36 inches
36 * 4= 144
Roberto has a certain number of songs on his MP3 player. Each week, he plans to add 4 more songs. After 5 weeks, he had 40 songs on his MP3 player. Which statement is true?
A. Roberto adds 5 songs on his MP3 player per week.
B. Roberto adds 10 songs on his MP3 player per week.
C. The initial number of songs on Roberto’s MP3 player is 10.
D. The initial number of songs on Roberto’s MP3 player is 20.
Please and the work for it too
Answer:
the answer is D. because 5×4=20, he had a total of 40 at the end so you subtract 20 from 40 and his initial amount of songs was 20.
X+5y=-23
X-y=1
Solve by elemination
Answer:
Negative 4
-4
Step-by-step explanation:
x+5= -23
-x+y= -1
6y= -24
-24÷6= -4
Answer:
Step-by-step explanation:
x + 5y = -23
5x - 5y = 5
6x = -18
x = -3
-3 + 5y = -23
5y = -20
y = -4
(-3, -4)
I have 20 pairs in my closet and 12 pairs are sneakers. What percentage of the shoes are pairs of sneakers?
Answer:
Prosperly, 60%
Step-by-step explanation:
Find the distance
(2,-2) and (-8,-2)
Answer:
the distnace between (2,-2) and (-8,-2) is 5.099
Step-by-step explanation:
A boutique in the Hamptons specializes in Women's beach attire. On an average summer day there are about 150 people visiting the store. If 88% of the people who enter the store are womendetermine the number of men who visit the store on a weekly basis in July. (show all work]
Hi sayooOoo ate mahal na ata kitaAaAaaa
Anna also wants to travel after graduation but she isn’t working while in school so she won’t be able to put money aside regularly. However, her grandmother gave her the generous gift of $2500 for her birthday and suggested she invest it in a GIC because it’s low risk. She shopped around and found a 4 year GIC investment that earns 2.8% interest annually. How much will Anna have at the end of her four year investment?
Answer:
She will have $2792 at the end of her four year investment
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Gift of $2500:
This means that [tex]P = 2500[/tex]
She shopped around and found a 4 year GIC investment that earns 2.8% interest annually.
This means that [tex]t = 4, r = 0.028, n = 1[/tex].
How much will Anna have at the end of her four year investment?
This is A(4). So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(4) = 2500(1 + 0.028)^{4} = 2792[/tex]
She will have $2792 at the end of her four year investment