what is larger a meter or 3feet
Answer:
Meter by a bit
Hello everyone!
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
Can someone try to do this question using the derivative rule for quotient? No spam please!
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \huge \tt\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }[/tex]
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex]\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) } \\ [/tex]
To start solving this question, note that ⇨ for any 2 differentiable functions, the derivative of the quotient of the 2 functions will be the denominator multiplied by the derivative of the numerator minus the numerator again multiplied by the derivative of the denominator whole divided by the denominator². By doing all these steps, we'll get it as..
[tex]\frac{\left(x^{1}-5\right)\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}-2)-\left(3x^{2}-2\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-5)}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Remember that the derivative of the polynomial will be the sum of the derivatives of its terms. We know that, the derivative of a constant term is 0 & the derivative of [tex]ax^{n}[/tex] is [tex]nax^{n-1}[/tex]. So..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ [/tex]
Now, simplify it..
[tex]\frac{\left(x^{1}-5\right)\times 2\times 3x^{2-1}-\left(3x^{2}-2\right)x^{1-1}}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(x^{1}-5\right)\times 6x^{1}-\left(3x^{2}-2\right)x^{0}}{\left(x^{1}-5\right)^{2}} \\ = \frac{x^{1}\times 6x^{1}-5\times 6x^{1}-\left(3x^{2}x^{0}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{1+1}-5\times 6x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-\left(3x^{2}-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{6x^{2}-30x^{1}-3x^{2}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{\left(6-3\right)x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x^{1}-\left(-2x^{0}\right)}{\left(x^{1}-5\right)^{2}} \\ = \frac{3x^{2}-30x-\left(-2\right)}{\left(x-5\right)^{2}} \\ = \large \boxed{\boxed{ \bf \frac{3x^{2}-30x + 2}{\left(x-5\right)^{2}} }}[/tex]
You can further simplify the answer to [tex]\underline{\underline{\frac{146}{\left(x-5\right)^{3}}}}\\[/tex]__________________
Hope it'll help you!
ℓu¢αzz ッ
find the greater common factor
2x^2+7x-30
Answer:
ty
Step-by-step explanation:
guys pls help me!!!!!!
Answer:
x=32
Step-by-step explanation:
What is true about multiples of 6?
Each multiple will always be divisible by 3.
Each multiple will always end in a 6 or a 2.
Every multiple is an odd number.
Every other multiple is an odd number
Answer:
Each multiple will always be divisible by 3
Step-by-step explanation:
Answer:
the answer would be Each multiple will always be divisible by 3.
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
5. Explain what the solution means in the context of the word problem.
Answer:
C is the inequality
Hope it's help :D
Step-by-step explanation:
For question
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.
please actually help me
Answer:
A.) 6:51
B.)The train at 6:42
C.)34 minutes
if i had 475 cannolis ans a box can only carry 15 how many boxes will i need.
Answer:
you would need 32 boxes
Step-by-step explanation:
475/15 = 31.666
32 boxes
475/15=31.7 but you can't get 0.7 boxes so you would need 32 to carry all of the cannolis.
write the equation
it passes through (-5,-7) and (-5,7)
Answer:
x = -5
Step-by-step explanation:
Find the gradient:
m = change in y ÷ change in xm = (7 - -7) ÷ (-5 - -5)m = 14 ÷ 0m = 0 - There is no gradient, and it is a vertical lineThe equation is x = -5, because in both co-ordinate pairs, the x is -5 - only the y changes
Hope this helps!
y = 2/5x -1/2 + y = -1/3x + 2/3 combine like terms
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Have a nice rest of your day
#Nova
Write the converse of the conditional statement below.
If angle 2 and angle 3 are vertical angles, then angle 2 is congruent to angle 3.
The rectangular frame is made from 5 straight pieces of metal.
6 m
8 m
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.
Step-by-step explanation:
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
=√100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
The correct answer is 57kg.
the perimeter = 2×(8+6)
= 2(14) = 28m
the diagonal = √8²+6²
= √64+36
100 = 10m
the total length of the frame =
28+10 = 38 m
therefore the total Weight =
38× 1.5 kg = 57 kg
What is the weight formula?The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.
To obtain the weight of your metal, you will multiply the sectional area, length and density together. Then, to convert the weight to kilograms, you must divide the product by 1,000. You can also determine the weight of your metal product using any number of online metal weight calculators.
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please help...
The image shows the linear graph for a family that hired a babysitter for a day. The family gave the babysitter some money up front to buy herself some lunch, and then paid her a constant hourly rate for the hours she worked. Click the thumbnail image to see the full size image.
Which 2 of the following statements are TRUE about the Y-INTERCEPT of this line? Select the TWO statements that are accurate.
A.
The y-intercept is 0.
B.
The y-intercept is 10.
C.
The y-intercept tells me that they paid the babysitter $20 to buy her lunch.
D.
The y-intercept tells me that they paid the babysitter $10 to buy her lunch.
The y-intercept, which represents the point the graph crosses the y-axis, is the point where x = 0, or the usual start of a time based function
The true statements about the y-intercept are;
B. The y-intercept is 10
D. The y-intercept tells me that they paid the babysitter $10 to buy her lunch
Reasons:
The points on the graph are;
[tex]\begin{array}{|c|cc|} \mathbf{Time }&&\mathbf{Cost}\\0&&10\\1&&20\\2&&30\\3&&40\\4&&50\\5&&60\end{array}\right][/tex]
The slope of the graph is therefore; [tex]\dfrac{60 - 50}{5 - 4} = 10[/tex]
The equation of the graph is y - 60 = 10·(x - 5)
y = 10·x - 50 + 60 = 10·x + 10
y = 10·x + 10The y-intercept is give by the point where the x-value is zero
At the start when x = 0, the amount paid to the baby sitter is y = 10×0 + 10 = 10
Therefore, the y-intercept which is $10, represent the amount the family
paid to the babysitter at the start for her lunch
The correct statements are therefore;
Option B; The y-intercept = 10
Option D; The y-intercept indicates the amount given to the babysitter for
her lunch
Learn more here:
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Answer:
d and b i did the quiz
Step-by-step explanation:
Please show all steps to 2- (-1)
Answer:
3
Step-by-step explanation:
2-(-1)=2+1=3
What is the best choice for the equation of the line of best fit shown?
Note that this estimate would be a strong prediction since it is an interpolation (between data points) and the graph shows fairly strong negative correlation.
a) y = -2.5x + 25
b) y = -1.5x +23
c) y = 1.5x + 23
d) y = -2.5x + 15
Answer:
What is the best choice for the equation of the line of best fit shown?
b) y = -1.5x + 23
What would the value of y be for a point at x = 8?
b) 11
Did this on EDGE!
The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.
Therefore, the correct option is B.
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Armando wants to raise funds at his school fair. He plans to charge 10 cents to pick marshmallows from his bag without looking. He will give: • 20 cents to anyone who picks a Blue marshmallow. • 50 cents to anyone who picks a Yellow marshmallow. • $1 to anyone who picks a White marshmallow. • Anyone picking a Red or Green marshmallow will lose their money There are as equal number of marshmallows of each color. 3a. Show work and explain why Armando will lose money with this game. Justify using mathematics.
Since the expected value for this game is negative, Armando will lose money.
The expected value is given by the sum of all outcomes multiplied by it's respective probability.In this problem:
There are blue, yellow, white, red and green marshmallows, each with a [tex]\frac{1}{5}[/tex] probability of being picked.If red or green marshmallows are picked, Armando get the charge of $0.1.If someone picks a blue marshmallow, he loses $0.1.If someone picks a yellow marshmallow, he loses $0.4.If someone picks a white marshmallow, he loses $0.9.Thus, the expected value is:
[tex]E = 0.1\frac{2}{5} - 0.1\frac{1}{5} - 0.4\frac{1}{5} - 0.9\frac{1}{5} = \frac{0.2 - 0.1 - 0.4 - 0.9}{5} = -0.24[/tex]
Since the expected value for this game is negative, Armando will lose money.
A similar problem is given at https://brainly.com/question/24855677
A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth (in miles) is the star?
WILL GIVE BRAINLIEST
Answer:
2.5 x [tex]10^{15}[/tex] miles
Answer:
265.2 and 5970.8
Step-by-step explanation:
Can someone help me please. Write the equation to show what would happen on the 9th term
Help me please
Increase 55 by 137%
Answer:
75.35
Step-by-step explanation:
55 (1.37) = 75.35
I need help! Please tell me
Answer:
y = 2x + 6
y = -1/4 x - 3
Step-by-step explanation:
We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.
The equations are:
y = 2x + 6
y = -1/4 x - 3
make p the subject of t=p+m/p-m
Answer:
t=9+m/9-m
Step-by-step explanation:
cot 10° . cot 20°. cot 70°. cot 80°. cot 45° = 1
Answer:
steps below
Step-by-step explanation:
cot 10° * cot 20° * cot 70° * cot 80° * cot 45°
= (cos 10°/sin 10°)*(cos 20°/sin 20°)*(cos 70°/sin 70°)*(cos 80°/sin 80°)* (1)
= (cos 10°*cos 80°)(cos 20°*cos 70°) / (sin 10°*sin 80°)(sin 20°*sin 70°)
= (1/2*(cos60°+cos90°)*1/2(cos50°+cos90°))/(1/2*(cos60°-cos90°)*1/2(cos50°-cos90°)) ... cos90° = 0 cos60° = 1/2
= (1/8*cos50°) / (1/8*cos50°)
= 1
Consider the following incomplete deposit ticket:A deposit ticket. The amounts deposited were 782 dollars and 11 cents and 564 dollars and 64 cents. The subtotal was 1346 dollars and 75 cents. The total after cash received is 888 dollars and 18 cents.How much cash did Liz receive?
The amount of cash Liz received is; 458 dollars and 57 cents.
The amounts deposited were as follows;
782 dollars and 11 cents 564 dollars and 64 centsThe subtotal is therefore; 1346 dollars and 75 cents.
Since, the total after cash received is; 888 dollars and 18 cents.
The amount of cash received by Liz is;
1346 dollars and 75 cents - 888 dollars and 18 cents.
=458 dollars and 57 cents.Read more on deposit ticket:
https://brainly.com/question/3044615
Answer:
A) 1145.39 on Edge
Step-by-step explanation:
Just took test :)
The equation y=1/9x relates proportional quantities x and y. What is the value of y is 4?
Answer:
x=0.0278 or 1/36
Step-by-step explanation:
y=4
So,y=1/9x
4=1/9x
36x=1
x=1/36
x=0.0278
A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
represents the shoe rental charge.
represents the price per game.
The number that represents the shoe rental charge is 3.
The number that represents the price per game is 2.5.
The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.
y= 2.5x + 3
In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.
When:
1 game is played, the additional fee is 2.5 x 1 = 2.50.10 games are played, the additional fee is 2.5 x 10 = 25.3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.
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what is the answer to 8x−13=59
Answer: x=9
Explanation:
8x-13=59
8x-13+(13)=59+(13)
simplify add the numbers
8x=72
Divide both sides of the equation by the same term
8x=72
8x/8=72/8
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
x=9
2(3x=4)
(x-2)(x=3)
(x-2)^2-3x(x+2)
(x-3)(x+3-(x+2)^2
Answer:
true
Step-by-step explanation:
thats correct becauee yeah
predict the next number 5,3,2,1,-1
Answer:
impossible?
Step-by-step explanation:
Brandon enters bike races 8 1/2 miles every 1/2 hour.
I need help on this 8th grade math this is due tomorrow.
Answer:
u²=6.25p²=5Step-by-step explanation:
Raise 2.5 to the power of 2 =
6.25
Pull terms out from under the radical, assuming positive real numbers =
5
