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
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
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 4A 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
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.
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
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.
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.
HELP ASAP EXPLAIN PLEASE
What 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:
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
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.
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.
19) Find the acros F(x) = x4 + 8x? -
Answer:
F'(x)=4x3+16x
Step-by-step explanation:
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
I need some help I rlly appreciate it!!!!
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:
:)
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
Fellow brains pls help.... Is this true or false?
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:
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.
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
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
#SPJ6
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
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
help me plz its about algebra 1
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
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]
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:
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