use the quotient rule to find the derrivatives of 3/x^2
Answer:
f'(x) = -6/x³
Step-by-step explanation:
We are given;
f(x) = 3/x²
Using quotient rule, we can write as;
f(x) = g(x)/h(x)
To find the derivative, from quotient rule, we can write;
f'(x) = [(h(x)*g'(x)) - (g(x)*h'(x))]/(h(x))²
g'(x) = 0
h'(x) = 2x
Thus;
f'(x) = [(x²*0) - (3*2x)]/(x²)²
f'(x) = -6x/x⁴ = -6/x³
f'(x) = -6/x³
Raymond is 7.In 3 years,his age will be 5/3 the age of his sister marissa. How old will marissa he in 3 years?
Answer:
6 years oldStep-by-step explanation:
Raymond is 7His sister is xIn 3 years Raymond will be 10, and his sister x + 3:
10 = 5/3(x + 3)x + 3 = 6x = 3Marissa is 3 now and will be 6 in 3 years
Write an equation of the line that passes through (2,-1) and is parallel to the line y=-3x+8
Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 8 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, then
y = - 3x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - 3x + 5 ← equation of line
Ryan is building a treehouse it will take 13 1/4 hours to complete he can work on the treehouse 1 1/2 hours each day how many days will it take Complete up with the treehouse complete plzz help like now
Answer:
9 days
Step-by-step explanation:
13 1/4 / 1 1/2 = 8 5/6 so 9 days
Select the correct answer.
Which table represents a linear function?
NEED ASAP
Answer:
C
Step-by-step explanation:
the rate of change is constant in y (adding 3) and x (adding 2)
Work out the value of (1.7X10^4) X (8.5X10^-2) in standard form
Answer:
1.445 × 10³ hope it helped goodluck!
While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?
Answer:
$25
Step-by-step explanation:
Given that:
Cost of Ashley's dinner in Bloomington = $20
Sales tax = 10%
Tip = 15% on $20
To find:
Total cost of the meal ?
Solution:
Let us find the sales tax first of all.
Sales tax is 10% of the total bill.
Therefore, sales tax = 10% of $20
[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]
Tip left is 15% of the total bill.
Therefore, tip = 15% of $20
[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]
Now, total cost of the meal = Food cost + Sales tax + tip
Total cost of the meal = $20 + $2 + $3 = $25
Hello, I really truly need help please, PLZ! Thanks!
(5 screenshots included)
Answer:
1. Second Choice
2. Positive
3. Line B
4. Line D
5. Horizontal
Step-by-step explanation:
First ScreenshotThe y-intercept is the value of b —
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
Looking from the graph, the graph passes y-axis at (0,1) which is y-intercept.
Basically (0,a) is y-intercept.
Thus, our y-intercept is (0,1)
Second ScreenshotThe slope is positive. If the slope is negative, it would face opposite.
For zero slope, the graph will become a horizontal line.
An undefined slope is the vertical line graph.
Third ScreenshotLine B has zero slope. As said, the zero slope will turn the graph into a horizontal line.
Fourth ScreenshotLine D has an undefined slope. Read Third Screenshot.
As said, an undefined slope is the vertical line.
Fifth Screenshot[tex]y = - 3[/tex]
This is called Constant Function where the graph is a horizontal line. For a vertical line, it must be x = a (where a is constant)
FYI,
y = a — horizontal
x = a — vertical
Given the function f(x) =6|x-2|+3, for what values of x is f(x) =39
Answer:
225
Step-by-step explanation:
6x-12+3,f(39)=6(39)-12+3,234-12+3=225
Evaluate mn when m=16 and n=14.
mn=
pls need help
Answer:
The answer is 16(14)=224.
Answer:
224
Step-by-step explanation:
So I see that mn is together so that must mean multiply.
m is 16 & n is 14
16 x 14=224
Hope this helps :>
-2 + x = -x + 2 what is x
Answer:
[tex]\large\boxed{\tt x=2}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for the value of x.}[/tex]
[tex]\textsf{We are given an equation where x is on both sides of the equation.}[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Begin solving by adding x to both sides of the equation to cancel out -x on the right}[/tex]
[tex]\textsf{side of the equation. Afterwards, simplify the left side of the equation to evaluate}[/tex]
[tex]\textsf{x.}[/tex]
[tex]\large\underline{\textsf{Evaluating x;}}[/tex]
[tex]\tt -2 + x= -x + 2[/tex]
[tex]\textsf{Remove the -x on the right side by adding x to both sides of the equation.}[/tex]
[tex]\tt -2 + x +\boxed{\tt x} = -x + \boxed{\tt x}+ 2[/tex]
[tex]\tt -2 + 2x = 2[/tex]
[tex]\textsf{Now, we should simplify the left side of the equation as there's only a whole number}[/tex]
[tex]\textsf{on the right side of the equation.}[/tex]
[tex]\textsf{Remove the -2 on the left side of the equation by adding 2 to both sides of the equation.}[/tex]
[tex]\tt -2 + \boxed{\tt 2}+ 2x = 2 + \boxed{\tt 2}[/tex]
[tex]\tt 2x = 4[/tex]
[tex]\textsf{Lastly, divide both sides of the equation by 2 to find the value of x.}[/tex]
[tex]\tt \frac{2x}{2} = \frac{4}{2}[/tex]
[tex]\large\boxed{\tt x=2}[/tex]
Answer:
[tex] \sf \: x = 2[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -2 + x = -x + 2
Then the value of x will be,
→ -2 + x = -x + 2
→ x + x = 2 + 2
→ 2x = 4
→ x = 4 ÷ 2
→ [ x = 2 ]
Hence, the value of x is 2.
if two angles in a triangle are 40° and 30°, then the third angle measures 110
Answer:
Si
Step-by-step explanation:
I will give brainlist
Answer:
7
Step-by-step explanation:
What is the answer to:
x/-6 -8 ≤ -12
Answer:
x (is greater than or equal to) -24
Step-by-step explanation:
x/-6 - 8 (is greater than or equal to) -12
add 8 to both sides
x/-6 (is greater than or equal to) 4
multiply both sides by -6
x (is greater than or equal to) -24
sorry I didnt know where to find the sign so I just wrote is greater than or equal to
Question is on the photo pls help
Answer:
d)-8
Step-by-step explanation:
-6s-¹t²-6(3)-¹(-2)²-6(⅓)(4)-8HELP PLEASE :(( thank u
Answer:
the 3rd one hope that helped
Step-by-step explanation:
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
120 kg in the ratio 3:2
Answer:
72:48
Step-by-step explanation:
please help me with this
Answer:
(48,15), (63,39), (13,25), (71,52), (28,52)
Step-by-step explanation:
an ordered pair is pretty much an x that goes with a y
A team's total salaries is $4,614,244. The team would like to bring the total down to $3.5 million. What would be the percentage decrease in the team's total salary?
Answer:
24.14%
Step-by-step explanation:
Given that,
A team's total salaries is $4,614,244.
The team would like to bring the total down to $3.5 million = $3500000
We need to find the percentage decrease in the team's total salary. The percentage decrease/increase in any value is givenby :
[tex]\%=\dfrac{\text{change in population}}{\text{initial population}}\times 100\\\\=\dfrac{3500000-4,614,244}{4,614,244}\times 100\\\\=24.14\%[/tex]
So, the percentage decrease in the team's total salary is 24.14%.
5 dived by 1 over 10
If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.
Answer:
Step-by-step explanation:
X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.
Find the number of terms in 3(x + 5y + 6)
Answer:
3
+
1
5
+
1
8
Step-by-step explanation:
+10 points
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 8 N acts on a certain object, the acceleration of
the object is 4 m's?. If the force is changed to 18 N, what will be the acceleration of the object?
Answer:
[tex]9\ m/s^2[/tex]
Step-by-step explanation:
For a moving object, the force acting on the object varies directly with the object's acceleration.
F ∝ a
or
[tex]\dfrac{F_1}{a_1}=\dfrac{F_1}{a_2}[/tex]
Put F₁ = 8 N, a₁ = 4 m/s², F₂ = 18 N and a₂ = ?
Put all the values,
[tex]\dfrac{8}{4}=\dfrac{18}{a_2}\\\\2=\dfrac{18}{a_2}\\\\a_2=9\ m/s^2[/tex]
So, the new acceleration is [tex]9\ m/s^2[/tex].
√50X3√2=?? help please
Two rules for creating a pattern are given below. Each rule begins with a number called the input ar creates a number called the output.
Answer:
20 Input
10 output
Step-by-step explanation:
Here, we want to select the input and output that works
From the diagram, the correct answer is 20 and 10
Let us look at how the rule is followed;
divides input by 2
20/2 = 10 which is the output
Subtract 10 to get output
20-10 = 10
please help with this.
Answer:
b
Step-by-step explanation:
Answer:
I think your answer is B.
Step-by-step explanation:
Not 100% sure though
pls help will give brainliest
Someone plz help me have a great day ツ
Answer
What’s your scratch username
Answer:
11 weeks and 3 days
Help!! Find the indicated angle measure. Show your work.
Answer:
m∠NPM = 101
Step-by-step explanation:
Since LM is a straight line, Angle LPM and Angle NPM have to equal 180 degrees (they are supplementary), so we make the equation:
180-79=measure of angle NPM
m∠NPM = 101
Answer:
<NPM = 101°
Step-by-step explanation:
<NPM = 180° - <LPN ( because LPM is a straight line and it should measure 180°)
<NPM = 180° - 79°
<NPM = 101°