Answer:
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Hello everyone!
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
Can someone try to do this question using the derivative rule for quotient? No spam please!
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]
To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..
[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Now, simplify it..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]
You can further simplify the answer to [tex]\underline{\underline{\frac{146}{\left(x-5\right)^{3}}}}\\[/tex]__________________
Hope it'll help you!
ℓu¢αzz ッ
50 POINTS! PLEASE HELP! Which graph represents the solution set of the system of inequalities?
{y≤2x+1 y>−2x−3
Step-by-step explanation:
the second one as the -2x-3 is only on the second one
PLEASE HELP IT’S DUE TMR
Answer:
hope you find the answer
On the grid below draw a right triangle
with vertices at P(2, 4), Q(7, 9), and
R(10,6). what is the lengths of the three sides to the nearest tenth.
Answer: See attached image for graph
PQ: √50
QR: √18
PR: √68
Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:
distance = √(x₂-x₁)² + (y₂-y₁)²Thus, we just apply this formula for each side length.
[tex]\frac{4}{\sqrt{5}-1 } -\frac{4}{\sqrt{5}+1\\ }[/tex]
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[tex]join \: bunny \: squad[/tex]
[tex]join \: bunny \: squad[/tex]
btw,, the formula you insert is incorrect:)
Answer:
haysst pa brainliest po
salamat sa ponts
Here is a list of numbers:
8.4, 8.6, 7, 7.6, 2.4, 9.7, 5.8, 5.2, 3.3
State the median.
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
arrange the numbers in the other of magnitude
:
2.4,3.3,5.2,5.8,7,7.6,8.4,8.6,9.7
then check for the middle number(s)
median = 7
what is the value of x in the equation -2/9x = 2/5?
a. -1 4/5
b. -5/9
c. 5/9
d. 1 4/5
by-m=ay+n solve for y
Answer:
move all terms to the left side and set equal to zero. Then set each factor equal to zero.
[tex]y= n + m/ b-a[/tex]
Step-by-step explanation:
1. Which of the following numbers completes the sequence 3, 8, 14, 21, 29, ___?
A. 35
B. 36
C. 37
D. 38
E. 39
Predict the missing component of each reaction.
MgO + ? → Mg(OH)2
2MgO → ?
A. 2Mg + H2O
B. 2Mg + O2
C. MgOH + O2
D. MgO + O2
Answer:
In the first equation, it's H20 but the second is B
2Mg + 2O2
here are the answers for both questions on this slide as of edge 2021, the 2nd is the one asked here.
1. 2KClO3 → 2KCl + ?
2Na + Cl2 → ?
A.) 2NaCl
2. MgO + ? → Mg(OH)2
2MgO → ?
B.) 2Mg + O2
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
Answer:
115.248
Step-by-step explanation:
120−96×[5 ÷ {23 − 3 × (12 − 22 − 16)}]
120−96×[5 ÷ {23 − 3 × (-26)}]
120−96×[5 ÷ {101}]
120−96×[0.0495]
115.248
Just remember PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
A truck driver always drives 3 miles per hour. She drives for 5 hours each day. How many miles will she drive in 3 days?
Answer:
45 miles in 3 days
Step-by-step explanation:
if she drives 3 miles an hour for 5 hours a day that would be 3x5=15
15x3 days=45 miles in 3 days
1.235 X 10
HELP PLEASE
Answer:
12.35
Step-by-step explanation:
Answer:
12.35
Step-by-step explanation:
fine all the prime factorization for 22, 44 show your work
Answer:
Step-by-step explanation:
Greatest common factor (GCF) of 22 and 44 is 22.
GCF(22,44) = 22
We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.
Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.
(please show your working)
a. On what page will that occur?
b.How many minutes have they read when Riley catches up?
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answer:
The answer can be literally anything.
Step-by-step explanation:
The answer can be literally anything. I can see most of the answers says 3 but, that is only one of the solutions. It is the answer when questions defines the relationship as number of characters, but the question never says that. All it says is, find me a relation which satisfies few values, and then find the relationship value at a new point.
Let us start by examining the question. So here is the question in mathematical terms:
Given:
f(1)=3, f(2)=3, f(3)=5, f(4)=4 and f(5)=4
Find f(6).
So if we assume the function to be f(x) then we know its value at 5 points.
Let’s say f(6)=K, so now we know it’s value at 6 points.
Now, given the value of a function at N points, we can always find a (N-1) degree polynomial which will be that function.
Now, you can put whatever value of K you want, and you will get corresponding set of coefficient vector which will satisfy the function values at the given points.
On a side note, I don’t consider this puzzle a good puzzle, since most of the people asking it expect only 3 as answer. They basically want you to limit the way you think, in a particular direction, which I think is not a very great idea.
Resource: http://mth.bz/fit/polyfit/findcurv.htm#06
It concludes that 6 = 3 for the given pattern, because in "six" has "3" letters.
What is the pattern in the reasoning?A pattern is a recurring series of occurrences or elements that can be used to identify and categorize various forms of data or information.
As per the question,
1=3
2=3
3=5
4=4
5=4
If we write "1" in a word then we will write "one" and if we count the letter it will give us "3".
If we write "2" in a word then we will write "two" and if we count the letter it will give us "3".
If we write "3" in a word then we will write "three" and if we count the letter it will give us "5".
Similarly, if we write "6" in a word then we will write "six" and if we count the letter it will give us "3".
Hence, 6 = 3.
Learn more about the pattern of numbers here:
https://brainly.com/question/10943425
#SPJ2
What even is this? Did my teacher have a typo?
56\pi +67i\leq +23
Answer: it's not a typo its a formula
hope this helps
brainliest?
a = 1/3 (b+c)
make b the subject
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
multiplying both sides by 3.
3a= b+c
subtract c from both sides.
3a-c=b
or
b= 3a-c
Answer:
b= 3a-c
Step-by-step explanation:
Solve for b.
a= 1/3(b+c)
Multiplying both sides by 3.
3a= b+c
Subtract c from both sides.
3a-c=b
or
b= 3a-c
Use number line to compare the numbers
0 and - 60
Which shows the correct symbol to compare the numbers?
=
>
Answer:
0 > -60
Step-by-step explanation:
Every negative number is less than 0
Which point is the vertex?
C
B
A
None of the above
A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?
Answer:
The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.
Fill in the blanks W Two numbers that when multiplied together gives 6 and when added together gives -7 are: and
Answer:
-1 and -6.
Step-by-step explanation:
-1 and -6
-1*-6 = 6
-1 + (-6) = -1-6= -7.
Write an equation: At 2 claps, Joe is in position 7 and walking towards zero at a rate of 3 claps per minute.
Answer:
I'll assume "position 7" refers to distance and not to the order of other people.
Step-by-step explanation:
We want an equation of the form y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). We can assume that "claps" is a new measure of distance. 0 claps is the finish.
Let's express the information provided in point format.
"At 2 claps, Joe is in position 7" is (2,7) 2 is the distance (claps) and 7 is the time (minutes)
And we can say the rate is also the slope of a line. "rate of 3 claps per minute" is 3c/m, where c is claps and m is minutes.
We can start a line equation by stating y = 3x + b, where we're using the rate, 3 c/m, as the slope, m.
We need to determine the value of b. We can use the given point (2,7) and solve for m:
y = 3x + b
7 = 3*(2) + b
b = 1
The equation becomes y = 3x + 1
y is the distance in claps and x is the time in minutes.
At a time of 2 claps he is at position of 7. b = 1 means he started 1 clap further from the finish at 0 claps.
To find the time required to reach the finish, we need to know the total distance, in claps.
How do i solve 2x=-3
i need answer ASAP
Answer:
[tex]x = \frac{-3}{2} \\or \\x = -\frac{3}{2}\\or\\-1.5[/tex]
Step-by-step explanation:
2x = -3
divide 2 from both sides
[tex]x = \frac{-3}{2} \\\\or \\x = -\frac{3}{2}[/tex]
Answer:
x=-1.5
Step-by-step explanation:
1. Divide on both sides to get the x alone; -3 divided by 2 is -.15 or -3/2
Find the EQUATION of the line through (-10,-12) and (-15,3). Use the form y=mx+b.
What is the median for this list of numbers? 11, 23, 43, 22, 9, 15
Median x˜ 18.5
that is the answer.
A box has 200 socks, 20 are blue and the rest are red. A person draws socks at random from the box, hoping to find a pair of blue socks. (a) Suppose that m socks are taken without replacement. Let Y be the random variable that counts the number of blue socks in the sample of m. What is the pmf of Y
Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...
60 POINTS HELPP!!
The value of y varies directly with x. if x=3, then y=18. What is the value of x when y=84?
Answer:
it is 14
Step-by-step explanation:
if X=14 then Y=84
What is the slope-intercept equation
for the following line?
Answer:
y = - x + 1
Step-by-step explanation:
Slope = 2/-2 = -1
y-intercept: 1
y = -x + 1
Answer:
y = -x + 1
Step-by-step explanation:
Given the points (2, -1) and (0, 1):
Let (x1, y1) = (2, -1)
(x2, y2) = (0, 1)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = [1 - (-1)] /(0 - 2)
m = (1 + 1)/ -2
m = 2/-2 = -1
Therefore, the slope, m = -1.
Next, the y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
The ordered pair, (0, 1) represents the y-intercept. Its y-coordinate is the value of b = 1.
Therefore, the linear equation of the graph in slope-intercept form is:
y = -x + 1
lee Hoskins: Attempt 1
A tennis racket with a price of $180 is subject to a sales tax of 7%. What is the total
price of the racket?
$192.60
$187