Answers
Answer:
[tex]\displaystyle y' = \frac{24x - 5}{2\sqrt{x}}[/tex]
General Formulas and Concepts:
Algebra I
Exponentials [Fractions] - Are radicalsExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Product Rule: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x}(8x - 5)[/tex]
Step 2: Differentiate
[tex]\displaystyle f(x) = \sqrt{x}, \ g(x) = (8x - 5)[/tex]
Product Rule: [tex]\displaystyle y' = \frac{d}{dx}[\sqrt{x}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)][/tex]Rewrite: [tex]\displaystyle y' = \frac{d}{dx}[x^{\frac{1}{2}}] \cdot (8x - 5) + \sqrt{x} \cdot \frac{d}{dx}[(8x - 5)][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{1 - 1}[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8x^{0}[/tex]Rewrite: [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}} \cdot (8x - 5) + \sqrt{x} \cdot 1 \cdot 8[/tex]Multiply: [tex]\displaystyle y' = \frac{8x + 5}{2x^{\frac{1}{2}}} + 8\sqrt{x}[/tex]Rewrite: [tex]\displaystyle y' = \frac{8x + 5}{2\sqrt{x}} + 8\sqrt{x}[/tex]Add/Rewrite: [tex]\displaystyle y' = \frac{24x - 5}{2\sqrt{x}}[/tex]Related Questions
1. Remember what we know about vertical angles and solve for X.
(4x-7)
(3x+2)
Answers
Answer:
Step-by-step explanation:
Both will be equal ,
4x-7 =3x +2
solve it we will get ,
x =9 degree
Answer:
answer is x=9
vertical angles have same angle measure.
so:
(4x-7)=(3x+2)
x=9
lets see if it correct. put x values in
4×9-7=3×9+2
29=29
PLEASE HELP ME I WILL DO ANYTHING
Answers
Answer:
we can tell if line ac is straight
Step-by-step explanation:
A spinner is divided into 8 equal sections: What is the theoretical probability of spinning and landing on 2, 7, or 5?
Answers
Answer:
3/8 or
2.67 or
2 67/100
Step-by-step explanation:
2.671×100100=267100
8 divide by 3. Take that and convert to fraction or decimal either or.
Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days?
Answers
Answer:
Dion ran 105 kilometers in 28 days.
Step-by-step explanation:
3.75*28= 105
Dion ran 105 kilometers in 28 days.
Answer:
105 Kilometers
Step-by-step explanation:
3.75 times 28 equals 105.
5×7/2
please answer me
Answers
Step-by-step explanation:
[tex]given \\ = 5 \times \frac{7}{2} \\ = \frac{35}{2} [/tex]
Hope it will help :)
Hope this helps
Have a great day/night
If you want me to explain I can
Can anyone help me with this?
9x+4=15
Find value of x
Answers
Step-by-step explanation:
9x+4=15
9x=15-4
9x=11
x=11/9 or 1 2/9
Answer:
Move all terms that don't contain
x
to the right side and solve.
Exact Form:
x=119
Decimal Form:
x=1.¯2
Mixed Number Form:
x=1 2/9
Explanation:Hope it is helpful....
2t + 9 + 4 + 3t = 23
full answer no word
Answers
Answer:
t = 2
Step-by-step explanation:
Please help me with this
Answers
HELP ME PLS ITS EASYYY (hopefully)
Mr. Herr pays $9 for 2.5 pounds of chicken at the grocery store. What is the cost per pound?
Explain how you solved this problem and what you got as your answer.
Please don't only give me the answer, actually EXPLAIN.
Answers
Answer:
$3.60 per pound
Step-by-step explanation:
you can set up a proportion: $ / lbs = $ / lb
let 'x' = cost of 1 pound of chicken:
9 / 2.5 = x / 1
cross-multiply:
2.5x = 9
x = 9/2.5
x = 3.6
Converting from vertex to standard form
plzz help ;(
Answers
Answer:
x²-4x+7
-x²-6x-12
Step-by-step explanation:
1.) the first thing we do is expand the exponent (or mulitply (x-2)(x-2) the images below will show you how to do that
We get x²-4x+4 and then just need to add three
x²-4x+7
2.)
We do the same thing (expand the exponent) and get x²+6x+9
which means so far we have
-(x²+6x+9)-3
carry out the negative sign and subtract 3
-x²-6x-12
GEOMETRY PROOFS ;-;
BRAINLIEST IF CORRECT!!
I'll report if you don't answer w something relevant to the problem (help me please..)
GIVEN: AE=BD; CD=CE
PROVE: AC=BC
Answers
Answer:
1. ae=bd; cd=ce (given) 2. ae=ac+ce (segment addition postulate) 3. bd=ac+cd (substitution property of equality) 4. ac+cd=bd (symmetric property of equality) 5. bd=bc+cd (segment addition postulate) 6. ac+cd=bc+cd (transitive property of equality) 7. ac=bc (subtraction property of equality)
i think
Step-by-step explanation:
What is the solution of log subcript 2 (3x-7)=3
Answers
Answer:
x=5
Step-by-step explanation:
Answer:
C) 5
Step-by-step explanation:
2^3=3x-7
2*2*2=3x-7
8=3x-7
3x=8+7
3x=15
x=15/3
x=5
9x - 10y = -30
Slope
Answers
Answer:
the slope is 9/10 and the y-intercept is (0,3) I hope it helps
Hey there! This is my last math question of the day! Please, do me a favor and help me out! Please remember I need an inequality for this answer! Thanks!
Answers
Answer:
150 ≥ 55+0.20t
What is the average speed of a soccer ball that travels 34 m in 2 s? Wright in 3 Sentences.
Also, How long would it take a bus traveling at 52 km/h to travel 130 km? Answer in 3 sentences.
Answers
Answer:
1). The average speed is 17 mps (m per second). I know this because if you divide 34 m by 2, (in order to get the m per second) you will get 17 mps. Thats how i got my answer.
2). It would take 2.5 hours to travel 130km. I know this by dividing 139 by 52. I chose to do this because if you travel 52km/h, then dividing 130km by 52 will give you an answer
who here has brainly+
Answers
Answer:
i dont
Step-by-step explanation:
Answer:
No one has..........lol
Simplify the expression (please)
Answers
Answer:
9(v-8)
[line]
v+6
Step-by-step explanation:
Find the area of a circle with a radius of 9.6 meters use 3.14 for π Round your answer to the nearest hundredth
Answers
Answer:
289.38 m^2
Step-by-step explanation:
(9.6)^2 x 3.14 = 289.38 m^2
The area of the circle is [tex]289.38\ m^2[/tex]
Calculation of the ara of the circle:Since the radius of 9.6 meters and we use 3.14 for π
We know that
The area of the circle is
[tex]= \pi r^2\\\\= 3.14\times (9.6)^2\\\\= 289.38\ m^2[/tex]
We simply applied the given formula so that the area of the circle could come
Therefore we can conclude that The area of the circle is [tex]289.38\ m^2[/tex]
learn more about an area here: https://brainly.com/question/24364874
How many quarts of soil are used to fill 2 flower pots? Each pot holds 3 2/5
quarts of soil.
Two flower pots hold quarts of soil
Answers
Answer:
3 2/5
Step-by-step explanation:
The ratios of the measures of the angles in a triangle is 3:10:7. Find the measure of the smallest angle. Just write the numerical answer
PTS and PQR
Answers
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees
Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
hijsjsjsjdkdkckckcifjfjfjfjffcmfknfkf urieiririrr r
15y = 45x + 60
What is the slope
6y=12x + 36
What the slope
Answers
Answer:
12 that's what I think the answer is
Answer:
3 and 2
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 )
Given
15y = 45x + 60 ( divide all 3 terms by 15 )
y = 3x + 4 ← in slope- intercept form
with slope m = 3
Given
6y = 12x + 36 ( divide all 3 terms by 6 )
y = 2x + 6 ← in slope- intercept form
with slope m = 2
Triangle RST is diated to form triangle R'S'T with the scale factor of 3.5. If RT=8 what is the length of R'T
Answers
Answer:
R'T = 28
Step-by-step explanation:
Dilation is one of the methods used in transformation. It is a process in which the size of a given object or shape is either increased or decreased by a scale factor.
In the given question, the length of RT was increased by the scale factor, so that;
R'T = RT x scale factor
= 8 x 3.5
= 28
R'T = 28
Therefore, the length of R'T is equal to 28.
What is the equation in slope-intercept form
( y = mx + b)?
A. y =13x -3/2
B.y = -3/2x + 13
Answers
Answer:
B
Step-by-step explanation:
Slope is rise/run, so the fraction would be more likely to be the correct answer.
14.Find the value of <A in the following figure.
Answers
Given:
The figure of triangle ABC.
To find:
The measure of angle A.
Solution:
From the given figure, we get
[tex]\angle ABC+120^\circ=180^\circ[/tex] (Linear pair)
[tex]\angle ABC=180^\circ-120^\circ[/tex]
[tex]\angle ABC=60^\circ[/tex]
According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.
[tex]\angle A+\angle ABC=105^\circ[/tex] (Exterior angle theorem)
[tex]\angle A+60^\circ=105^\circ[/tex]
[tex]\angle A=105^\circ-60^\circ[/tex]
[tex]\angle A=45^\circ[/tex]
Therefore, the measure of angle A is 45 degrees.
HELP! solve for x in the diagram below.
Answers
Answer:
[tex]x = 40 [/tex]
Step-by-step explanation:
[tex]x + x + 100 = 180 \\ 2x = 80 \\ x = 40 [/tex]
80/2=40. (Divide by 2 because there is 2 missing X’s)
X=40
Kona ice charges 4.50 for their large cup. Each refill on the cup cost $1.25. If Jason has 19.50, how many refills can he get before he runs out of money.
Answers
Answer:
12
Step-by-step explanation:
19.50-4.50=15
15÷1.25=12
what the value of 4 in 0.487
Answers
Answer:
It is its tenth value
Step-by-step explanation:
The 4 in .487 is the tenths value
PLS HELP ME ILL GIVE U BRAINLIEST THXX Find (F-g)(2)
Answers
Answer:
-9 is the correct answer
can someone help me with this problem
Answers
Answer:
i cant see the question
Step-by-step explanation:
How many solutions does 5x + 4y=6 have
Answers
Answer:
Error....
.
.
.
.
.
At least 2 equation needed for the solution of two variables