Using the quotient rule, what is the derivative of the function f(x)=(3x-5)/(5x+2)?
Answers
Answer:
[tex]\frac{31}{(5x+2)^2}[/tex]
Step-by-step explanation:
See image for quotient rule
f(x)= numerator = 3x-5
g(x)= denominator = 5x+2
so we have
[tex]\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}[/tex]
Related Questions
PLEASE ANSWER ASAP!!
Roger bought some turkey and some roast beef for the soccer club picnic. He paid $110 for a total of 20 pounds of meat. The turkey cost $6 per pound, and the roast beef cost $5 per pound.
A) Create a system of equations that models the situation. Define the variables you use.
B) The graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation.
Answers
Calculate the Kinetic Energy when the mass of the car is 1,200kg and the speed
is 11.11 m/s.
Answers
Answer:
74059.3 J
Step-by-step explanation:
KE = I/2mv²
KE = 1/2(1200)(11.11)²
KE = 1/2(1200)(123.4321)
KE = 74059.26 J
Answer
74059.26J
Explanation
Formula
EK=mv^/2
m=1200kg
v=11.11m/s
E=1200kg×(11.11m/s)^/2
E=74059.26J
Toni goes to a department store and buys two shirts marked the same price. She pays full price for the first shirt but gets a 40% discount on the second shirt. If she pays a total of $32.40 for the two shirts, how much did she pay for the second shirt? -Please give a real answer
Answers
Answe$12.15
Step-by-step explanation:
She paid 60% of the price...
x + .6x = 32.40
1.6x = 32.40
x=20.25
20.25 * .60 = 12.15
At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the weight (i.E. The force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. The torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ Nm}3 Nm3, start text, space, N, m, end text (Newton metre, the SI unit for torque). The minimum torque of -3\text{ Nm}−3 Nmminus, 3, start text, space, N, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left.
Answers
The Torque function is T(t) = 3sin((t-5)π/30).
What is Torque?When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.
Given:
After 5 minutes Thomas ties it on, the torque is zero and increasing.
So, the sine function is shifted right 5 minutes.
and, The maximum value is 3.
Then, the multiplier of the sine function as the period is 60 minutes
Then, the coefficient of t = (2π/60)
= π/30.
Hence, the Torque function is T(t) = 3sin((t-5)π/30).
Learn more about Torque here:
https://brainly.com/question/25708791
#SPJ5
(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)
Answers
Answer:
4 5
Step-by-step explanation:
I got it right here.
The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
What is Factorize?The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.
Given:
(20x² – 12x) + (25x– 15)
or, 4x(5x – 3) + 5(5x – 3)
or, (4x+ 5)( 5x- 3)
Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).
Learn more about factorize here:
https://brainly.com/question/14067703
#SPJ2
Factor the answer
8y-16
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]8(y-2)[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression:}}\\\\8y-16\\------------------\\\rightarrow 8y-16\\\\\text{8 is a common factor in the terms. Pull out 8 to factor...}}\\\\\rightarrow \boxed{8(y-2)}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
We can not find the answer with with equation since there is no comparison sign. To demonstrate this lets look at a way we could solve this equation.
8y-16=32
8y=48
y=6
a shade of violet paint is made from 16 parts of blue paint mixed with 5 parts of red paint. If 4 cans of paint are used, how many cans of red paint should be used?
Answers
Answer: None because i dont like cans of paint
Step-by-step explanation: If you dont like cans then you wont like beans. So if d33z + nutz = d33znutz then cans + paint = canspaint
help help helpppppppppp
Answers
Answer:
28 answer write ✍️ now ok
What is the solution to the equation V8x = V4+2x ?
p= 2/5
p= 2/3
p= 24
p= 40
Answers
Answer:
x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{8x}[/tex] = [tex]\sqrt{4+2x}[/tex] ( square both sides )
8x = 4 + 2x ( subtract 2x from both sides )
6x = 4 ( divide both sides by 6 )
x = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
Write the equation of the parabola in vertex form.
I'll give you 52 points if you answer this
Answers
to be completely honest i just plugged this into a calculator
i need the answer plz
Answers
Answer:
see explanation
Step-by-step explanation:
If (x - 1) is a factor then f(1) = 0
Given
f(x) = x³ - 13x² + 32x - 20 , then
f(1) = 1³ - 13(1)² + 32(1) - 20
= 1 - 13 + 32 - 20
= 0
Since f(1) = 0 then (x - 1) is a factor
Using Synthetic division
1 | 1 - 13 32 - 20
↓ 1 - 12 20
-----------------------------
1 - 12 20 0 ← remainder
quotient = x² - 12x + 20 = (x - 2)(x - 10)
Then
x³ - 13x² + 32x - 20 = (x - 1)(x - 2)(x - 10) ← in factored form
Can someone help me understant this proof?
Answers
Answer:
Yeah, you can prove with the use of alternate interior angles, alternate exterior angles, and parallel angles. That's why they're similar.
Step-by-step explanation:
Please help I’ll give brainliest
Answers
Answer:
a) 421mm² = 0.000421 m²
b) 9.3kg²= 9,300,000 g²
c) 25kL²= 25,000,000 L²
d) 1439m²= 0.001439 km²
78% of a certain food is fat. Out of 100 total grams, how many grams are
not fat?
Answers
The bus seats 36 people. The van seats 12 people. What portion of seats are van seats?
Answers
reason: 36-12=24
ez dubs
PLEASE ANSWER ASAP :"( I need to submit the homework and i dont understand how to do the solution
p/s PLEASE READ THIS pls ignore the another language just read the english one..
Answers
Answer:
x -2 -1 0 1
y -1 2 5 8
Step-by-step explanation:
y=3x+5
When x=-2
y=3(-2)+5
y=-6+5
y=-1
when x=-1
y=3(-1)+5
y=-3+5
y=2
whenx=0
y=3(0)+5
y=5
When x=1
y=3(1)+5
y=3+5
y=8
The area of a rectangular field is 7626m2. If the length of the field is 93m, what is its width?
Answers
Answer:
The width is [tex]82m[/tex]
Step-by-step explanation:
------------------------------>>>>
The formula to find the area of a rectangle is [tex]A=lw[/tex]
We already know the area of the rectangular field which is [tex]7626m[/tex]
We already know the length is [tex]93m[/tex]
--------------->>>>
Now let's substitute [tex]7626[/tex] for [tex]A[/tex] because that's the area and substitute [tex]93[/tex] for [tex]l[/tex] because that's the length. After that, let's solve to find the width.
[tex]7626=93w[/tex]
Divide both sides by 93 because that's the opposite of multiplication.
[tex]82=w[/tex]
--------------->>>>
This means that the width of the rectangular field is [tex]82m[/tex]
Hope this is helpful
The average low temperatures in January are given for a few cities. Arrange the cities in increasing order of their temperatures. Barrow -19°F Littlefork -9°F Boston 22°F Topeka 20°F Chicago 18°F
Answers
Answer:
Barrow
Littlefork
Chicago
Topeka
Boston
Step-by-step explanation:
Freezing point is 0° while boiling point is 100°
Temperatures below 0° are very cold and temperatures greater than 0° are warmer compared to temperatures below 0°
The coldest would be barrow
the next is Littlefork
Then Chicago and Topeka and Boston
Answer:
BarrowLittleforkChicagoTopekaBoston
Step-by-step explanation:
Hihi , please help if able.
Answers
Answer:
Step-by-step explanation:
Area of the rectangular garden is given by the expression,
Area = 6(2x + 5y)
By distributive property,
6(2x + 5y) = 12x + 30y
Therefore, equivalent expression for the area will be,
Area = (12x + 30y)
For x = 3 and y = 4,
Area = 12×(3) + 30×(4)
= 36 + 120
= 156
Area of the rectangular garden = 156 square feet.
Pls help I’ll give brainless
Answers
Answer:
108.56
Step-by-step explanation:
First find the amount of the tip
92 * 18%
92 * .18
16.56
Add this to the amount of the bill
92+16.56
108.56
Answer:
108.56
Step-by-step explanation:
92$ + .18*92 = 108.56$
for the diagram below, which equation is the correct use of the distance formula?
Answers
Answer:
????
Step-by-step explanation:
Where's the equation? diagram?
Answer:
How we supposed to answer with no equation
Step-by-step explanation:
what is the possibility of going school on a saturday?
Answers
Answer:
I personally think there's a low chance of going to school on a Saturday since the only reason that I have in mind is that the student needed help catching up and completing their work. Another reason a student may go to school on a Saturday is because they're part of student senate/student council and they're planning for something there.
Hope I helped :)
The rectangle has length 4.5cm and width 2.8cm. Work out the area
Answers
Answer:
11/1//11/1
Step-by-step explanation:
= 4.5 x 2.8
= 12.6 cm^2
Please help 7th grade math
Answers
Answer:
x=20, g=100, f=80
Step-by-step explanation:
when ever somthing is suplementary it means the the answer will euqal to 180 degrees. That means your equation is going to be
3x+40+5x-20=180
8x+20=180
8x=160
x=20
Finding g
3(20)+40
60+40
g=100
FInding f
5(20)-20
100-20
f=80
xy + x3 ( That 3 is cube )
Answers
The second term in a sequence is 13. The term to term rule is "add 6"
Write an expression, in terms of n, for the nth term of the sequence.
Answers
Answer:
[tex]a_{n}[/tex] = 6n + 1
Step-by-step explanation:
This is an arithmetic sequence with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 13 - 6 = 7 and d = 6 , then
[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1
Answer:
the first few terms would be
7, 13, 19, 25, 31
nth term = 7 + 6(n+1)
nth term = 7+ 6n + 6
nth term = 6n + 13
If 3x = y - 5 and x = -4, then y =
plz show work
Answers
Answer: y= -7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
(3)(−4)=y−5
−12=y+−5
−12=y−5
Step 2: Flip the equation.
y−5=−12
Step 3: Add 5 to both sides.
y−5+5=−12+5
y=−7
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3x = y - 5}\\\\\large\textsf{3(-4) = y - 5}\\\\\large\textsf{3(-4) = \boxed{\bf -12}}\\\\\large\textsf{-12 = y - 5}\\\\\large\textsf{TURN the EQUATION}\\\\\large\textsf{y - 5 = 12}\\\\\large\textsf{ADD 5 to BOTH SIDES}\\\\\large\textsf{y - 5 + 5 = -12 + 5}\\\\\large\textsf{CANCEL out: -5 + 5 because that gives you 0}\\\large\textsf{KEEP: -12 + 5 because that gives you the y-value}\\\\\large\textsf{y = -12 + 5}\\\\\large\textsf{-12 + 5 =\boxed{\bf -7}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -7}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Hi!! I hope you are having a good day. I’m having an exam rn and I need help, these are short answers.
1. The radius of a circle is 14 cm. If π is taken as 3.14; what is the circumference of the circle.
2. Calculate: 2 3/6 + 3/6 =
3. Damarie and Breanna share a reward of $117 at a ratio 1:8. What was Breanna's share?
4. Razon is constructing a decagon shape motel; each side measuring 12.4 cm. As the contractor, calculate the perimeter of this motel.
5. Using the division method, find the prime factors of 42? State if this number is odd or even.
6. Complete the the number sequence 1, 3, 10, 21, 64, 129_____, 777.
7. Using the factor three method, list the prime factors of 68 *
8. Don- tae decided to ship a container to JM to stock his Supermarket. The length of the container is 16.3 m , breadth 8 m and height 6. 2 m. Calculate the volume of this container.
9. A circle has a circumference of 44 cm, given that π 22/7, calculate the its diameter.
Answers
Answer:
1.) 88cm
2.) 3
3.)104
Step-by-step explanation:
1) circumference= 2πr
2×22/7×14 = 88cm
Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)
Answers
Answer: Its B
Explanation: took the quiz
[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]= {24}^{ \frac{1}{3} } [/tex]
[tex] = \sqrt[3]{24} [/tex]
[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]
[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]
[tex] = 2\sqrt[3]{3} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
What is the multiplicative rate of change of the
function?
Answers
Answer:
0.25×5=0.125
0.125×0.5=0.0625
0.0625×0.5=0.03125
the multiplicative rate of chage of the function is 0.5