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
help me plz its about algebra 1
I WILL GIVE YOU BRAINLY PLSS
Which of the following is in the solution set (would appear in the shaded region of
the graph) for the inequality + 7 > 9?
A. 6
B. -6
C. -4
D. 2
SHOW YOUR WORK PLSS
Answer:
the answer Is D.2
Step-by-step explanation:
9 is greater than 7 by 2
Can some people of brainly do this stuff for my little cousin i dont know what i'm doing.
Answer:
21=1 x 21
21=3 x 7
Step-by-step explanation:
pls mark brainliest to help rank :)
1) 1
2) 7
i hope you understand
Fellow brains pls help.... Is this true or false?
if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
What is the mean of the data set?
82, 105, 247, 119, 94, 202
i got the totally of 141.5
just add them all up to get 849
and divide them by how many numbers there are
which is 6
You start at (1, -4). You move left 6 units. Where do you end?
Answer:
You will end up at (-5, -4)
Step-by-step explanation:
you find where (1, -4) is on the graph than from that point move left 6 units.
I need some help I rlly appreciate it!!!!
Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?
Answer:
9:00 pm, 4th November
Step-by-step explanation:
Since ;
Brisbane is 10 hours ahead of London
New York is 5 hours behind London
Then, Brisbane is (10 + 5)hours ahead of New York.
Then Brisbane is 15 hours ahead of New York
Time and Date Brisbane resident called New York = 12 Noon, 5th November
Time and Date in New York will be :
(12 Noon - 15 hours) = 9:00 pm, 4th November
8n+ 103=15n+75 answer
[tex] = > 8n+ 103 = 15n + 75 \\ [/tex]
[tex] = > 103 - 75 = 15n - 8n \\ [/tex]
[tex] = > 28 = 7n\\ [/tex]
[tex] = > n = \frac{28}{7} = 4 \\[/tex]
So the value of n is 4What is the final amount if 784 is decreased by 1% followed by a 4% increase?
Give your answer rounded to 2 D
Answer:
807.21
Step-by-step explanation:
for the 1 % decrease
1/100 × 784 = 7.84
784 - 7.84 = 776.16
then 4% increase
4/100 × 776.16 = 31.0464
776.16 + 31.0464= 807.2064
in 2 Decimal places
807.21
Answer:890
Step-by-step explanation:
Quadrilateral MNPQ has vertices M(0,6), N(4,4), P(6. – 1), and Q(2,0). Determine the coordinates of the vertices of the image of
the quadrilateral after the translation (x,y) → (x – d4, y +1).
Answer: M(-4,7)P(0,5)Q(-2,1)
Step-by-step explanation:
The translation is telling you to subtract each x value by 4 and add 1 to each y value.
Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0
Answer:
9.0, 9.012, 9.201, 9.210
Step-by-step explanation:
9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.
PLEASE HELP!!! URGENT!!!
Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.
Answer:
They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Sample Response: They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
This year, you got 65% fewer pieces of Halloween candy than you got last year. You got 200 pieces last year. How much did you get this year?
a) In the sketchbox, draw a diagram to represent this situation
b) In the answer box, write a simplified equation to represent this situation. Use "y" to represent the amount of Halloween candy you got this year. Your equation should use decimals.
Answer:
Step-by-step explanation:
100-65=35
y=35 % of 200=0.35×200=70
Which graph represents the function y = 2x - 2?
4TY
1y
1y
2
2
2
-2
- 2
-2
-2
-2
o
o
Answer:
The third graph
Step-by-step explanation:
The third graph is the only graph that could represent the equation because it is the only graph where the line goes through the y-intercept, -2. It is also positive, like the equation says the slope should be.
Marijah wants to start saving money as a
New Year’s resolution. She starts with $125
and decides to save $15 per week from her
part-time job. Write an equation to represent
the total money saved, T after w weeks.
Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.
Answer:
17/33
Step-by-step explanation:
The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
What is a fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.
Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,
[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,
giving:
[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]
x = 51/99
Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
Learn more about fractions here:
https://brainly.com/question/10354322
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HELP ASAP EXPLAIN PLEASE
A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
Answer:
The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h
Step-by-step explanation:
System of Equations
Let's call:
B = speed (rate) of the boat in still water
S = speed (rate) of the stream
The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:
[tex]\displaystyle B-S=\frac{172}{3}[/tex]
Multiplying by 3:
3B - 3S = 172 [1]
The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:
[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]
B + S = 93
Solving for B:
B = 93 - S [2]
Substituting in [1]
3(93 - S) - 3S = 172
Operating:
279 - 3S - 3S = 172
279 - 6S = 172
Subtracting 279:
- 6S = 172 - 279
- 6S = -107
Multiplying by -1 and solving for S:
[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]
From [2]:
[tex]B = 93 - \frac{107}{6}[/tex]
[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]
Drag each tile to the correct box.
Each of these equations holds true for one value of x from the set {5, 12, 15, 18). Arrange the equations in increasing order of the x-values that
make them true.
6x - 15 = 75
2(2x - 1) = 46
X + (x - 10) = 26
5x - 3x = 10
Reset
Next
Step-by-step explanation:
6x - 15 = 75, 6x = 90, x = 15.
2(2x - 1) = 46, 2x - 1 = 23, x = 12.
x + (x - 10) = 26, 2x = 36, x = 18.
5x - 3x = 10, 2x = 10, x = 5.
Hence the equations
in increasing order of x-values are:
5x - 3x = 10,
2(2x - 1) = 46,
6x - 15 = 75, and
x + (x - 10) = 26.
Answer:
5x - 3x = 10
2(2x - 1) = 46
6x - 15 = 75
x+(x - 10) = 26
write a expression that represents the height of a tree that begins at 8 feet and increases by 2 feet per year. Let t represent the number of years. How tall will the tree be in 5 years?
Answer:
8 + 2t
In five years, 18 feet
Answer:
8 + 2(t)
Step-by-step explanation:
8 is the initial height of the tree, and 2 represents the growth per year, and each year is calculating by represnting each year as (t), so
ex.
2 years pass
8 + 2(2) = 8 + 4 = 12ft
2ft per year, 2 years = 4
19) Find the acros F(x) = x4 + 8x? -
Answer:
F'(x)=4x3+16x
Step-by-step explanation:
first come first serve 25 points answer whatever first will get brainlyiest
Answer:
yo
Step-by-step explanation:
yo
Answer:
thanks dude
Step-by-step explanation:
:)
Write an equation and solve. Round to the nearest hundredth where necessary.
What is 25% of 96?
A.) n • 0.25 = 96; 384
B.) n = 0.25 • 96; 24
C.) n = 25 • 0.96; 24
D.) n = 25 • 96; 2400
Answer:
see explanation
Step-by-step explanation:
I think its c n=25. 0.96; 24
Bus A travels according to the function y = 125/2 x where y is distance travelled in miles and x is time in hours.
Bus B travels according to the graph below, where the distance y is a function of time x. Which bus travels faster? Include all necessary calculations in your answer.
Answer: Bus B is slightly faster
Step-by-step explanation:
the slope for bus A is slightly greater than the slope 125/2 of bus B
Of the 80 girls in Joy's class, 24 have blond hair. What percent of girls in Joy's class have blond hair?
Answer:
30%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
To determine the percentage of the girls with blonde hair...it means we will have to use this formula
Number of girls with blonde hair/total numbers of girls ×100
Number of girls with blonde hair is 12
Total number of girls is 80
Therefore,12/80 ×100
1200/80
120/8
15
Therefore the percentage of the girls with blonde hair is 15%
All of the following monomials are partial factors of the polynomial 12xº y2 – 18x2y + 6x?y? EXCEPT:
Answer:
80
Step-by-step explanation:
Albert wrote a total of 5 pages of his essay in 2 hours. How many hours will Albert need to complete a 12 page paper?
Answer:
Step-by-step explanation:
…
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,260 ft Determine the flag's width and length if the length is 290 ft greater than the width.
Answer:
length= 710 width= 420
Step-by-step explanation:
As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:
2l+2w= 2260
With the length as:
l= w+290
The length, substituted into the perimeter is:
2(w+290)+2w=2260
Distribute:
4w+580=2260
Subtract:
4w=1680
Divide:
w=420
To find the length, take the width and add 290:
420+290=710
l=710