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
Helppppl +13 points & +star
Answer:
hope it helps
Step-by-step explanation:
...........
how do you differentiate more and more than? can these terms be used in mathematics? how?
Answer:
The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.
Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.
Find X.
Math it’s.com
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
19 = 4x + 3 *
Plz, help me with this!
Answer:
x=4
Step-by-step explanation:
19 = 4x+3
Subtract 3 from each side
19 -3 =4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Answer:
x=4
Step-by-step explanation:
19= 4x+3
19-3= 4x
16= 4x
x= 16/4= 4
x= 4
hope it helps! please mark me brainliest
thank you!! have a good day ahead
I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLS
Answer:
B. 143
Step-by-step explanation:
Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.
pls help you i’ll give brainliest
The answer is 6+(-4) = 2
Answer:
2
Step-by-step explanation:
it's just like saying 6-4 is two a negative is like a positive3x+18=3(x+6)please help
Answer: X = 4
Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.
4 months to 8 years in ratio
Answer:
4:96
Step-by-step explanation:
It has to be the same kind of thing so...
1 year is 12 months
8 * 12 = 96
Answer:
4 months : 8 years
reduced...
1 month : 2 years
Step-by-step explanation:
15 divided by 1/9 please i just need 15 divided by 1/9
Answer:
135 :)
Step-by-step explanation:
15 divided by 1/9 is equal to 135.
We have,
When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).
This concept is known as "invert and multiply."
By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.
Now,
To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.
15 ÷ (1/9) is the same as 15 * (9/1).
Multiplying these fractions, we get:
15 * (9/1) = 135/1 = 135.
Therefore,
15 divided by 1/9 is equal to 135.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
how much longer is a 1 -inch button than a 3/8 -inch button
Answer:
5/8
Step-by-step explanation:
i took the quiz
Can i have some help please
Answer:
bababooey
Step-by-step explanation:
PLEASE HELP ME ITS DUE IN LIKE 10 MINS OMG
The slope is equal to 5/2.
Multiple Choice
Which of the following represents a unit rate?
A. four dollars over twelve books
B. five pages over two minutes
C. eighty beats over one minute
D. seventy two inches over two yards
Answer:
c
Step-by-step explanation:
unit rate is a rate with one in the denominator
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Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
(4, 2); slope = 3
write the equation of the line
Answer:
y=3x-10
Step-by-step explanation:
yall please help me with this math question :/
6th grade math help me plzzzz
Answer:
E. would be your answer
Step-by-step explanation:
ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year.
Given:
Current population = x
The population of a city is expected to decrease by 6% next year.
To find:
The expression that represents the expected population next year.
Solution:
We have,
Current population = x
Decrease rate = 6%.
Expected population next year = Current population - 6% of Current population
=[tex]x-\dfrac{6}{100}x[/tex]
=[tex]x-0.06x[/tex]
=[tex]0.94x[/tex]
Therefore, the expression for the expected population next year is 0.94x.
Evaluate 6x - 4y when x = 5, y = 2
Answer:
22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right
Step-by-step explanation:
6.x=
6.5=30
4.y=
4.2=8
6.5=30 4.2=8
30-8=22
5x-3 =2x+15
Someone pls help for geometry
Answer:
x = 6
Step-by-step explanation:
5x-3 = 2x+15
i) move 2x to the left-hand side and change its sign5x-2x-3 = 15
ii) move -3 to the right-hand side and change its sign5x-2x = 15+3
iii) collect like terms3x = 15+3
iv) add the numbers3x = 18
v) divide both sides of the equation by 3[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]
[tex]x = 6[/tex]
The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2
Answer:
√88
Step-by-step explanation:
a^2 + 9^2=13^2
a² = 13² - 9²
a² = 169 - 81
a² = 88
Take square root of both sides
a = √88
78=6 f please help solve ion have much time
Answer:
hii
Step-by-step explanation:
The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.
Answer:
Step-by-step explanation:
The diameter is 13 and the radius is 6.5
The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.
What is the value of x, the side length of Square 2?
The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:
1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6
Step-by-step explanation:
You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.
Hope this helps!
ASAP! please help, thanks
Answer:
d should be correct
Step-by-step explanation:
prove me wrong
Anyone knows this please help me
Answer:
(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Step-by-step explanation:
Given the 2 equations
2x² + 4x - y = - 2 → (1)
x² + y = 2 → (2)
subtract x² from both sides in (2)
y = 2 - x² → (3)
Substitute y = 2 - x² into (1)
2x² + 4x - (2 - x²) = - 2
2x² + 4x - 2 + x² = - 2
3x² + 4x - 2 = - 2 ( add 2 to both sides )
3x² + 4x = 0 ← in standard form
x(3x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]
Substitute these values into (3) for corresponding values of y
x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)
x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )
Express in the form n : 1
9:3
Answer:
n =3
hope it helps
Answer:
3:1
Step-by-step explanation:
cut by 3
..............
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .
Answer:
70
Step-by-step explanation: