Mathematics High School

Y=sqrt(x)+7x(3/2)-5x+12

Y=sqrt(x)+7x(3/2)-5x+12

Answers

Answer 1

Step-by-step explanation:

This is the answer thank you :)

Y=sqrt(x)+7x(3/2)-5x+12
Answer 2

Answer:

[tex]\displaystyle y' = \frac{21\sqrt{x}}{2} + \frac{1}{2\sqrt{x}} - 5[/tex]

General Formulas and Concepts:

Algebra I

Exponential 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) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x} + 7x^{\frac{3}{2}} - 5x + 12[/tex]

Step 2: Differentiate

Rewrite:                                                                                                           [tex]\displaystyle y' = x^{\frac{1}{2}} + 7x^{\frac{3}{2}} - 5x + 12[/tex]Basic Power Rule:                                                                                           [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{3}{2} \cdot 7x^{\frac{3}{2} - 1} - 1 \cdot 5x^{1 - 1}[/tex]Simplify:                                                                                                           [tex]\displaystyle y' = \frac{1}{2}x^{\frac{-1}{2}} + \frac{21x^{\frac{1}{2}}}{2} - 5[/tex]Rewrite [Exponential Rule - Rewrite]:                                                            [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}} + \frac{21x^{\frac{1}{2}}}{2} - 5[/tex]Rewrite:                                                                                                           [tex]\displaystyle y' = \frac{1}{2\sqrt{x}} + \frac{21\sqrt{x}}{2} - 5[/tex]Rearrange:                                                                                                     [tex]\displaystyle y' = \frac{21\sqrt{x}}{2} + \frac{1}{2\sqrt{x}} - 5[/tex]

Related Questions

What is an equation of the line that passes through the points (-4, -1)(−4,−1) and (2, 8)(2,8)?

Answers

Answer:

y = 3 /2 x + 5

Step-by-step explanation:

Spencer has a bank account with a balance. Of. $75.Spencer owes$30 to her credit card and she owes $50 for a LCD tv.What would spencers bank balance be,if both debits were paid.

Answers

Answer: $-5

Step-by-step explanation:

From the question, we are informed that Spencer has a bank account with a balance of $75.

We are further told that Spencer owes $30 to her credit card and she owes $50 for a LCD tv.

The amount on Sencers bank balance if both debits were paid would be:

= $75 - ($30 + $50)

= $75 - $80

= $-5

Heather wants to purchase an electronic guitar. The price of the guitar with tax is $2,420. If she can save $90 per month, how long will it take her to save up for the guitar?

Answers

Answer:

About 27 months with additional days

Step-by-step explanation: 2420/90 is 26.888888888888888888888888888889

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.

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.

if i had 2 cats and my mom bought me 4 dogs how many animals is that in total​

Answers

Answer:

2 + 4 = 6 animals

Step-by-step explanation:

2 cats + 4 dogs = 6 animals

6 animals is the answer

Plz help me get the right answer

Answers

Answer:

4x²+24x-28

Step-by-step explanation:

to understand thisyou need to know about:PEMDASalgebratips and formulas:(a-b)²=a²-2ab+b²let's solve:

[tex]step - 1 : define[/tex]

[tex] {8x}^{2} + x - (2x - 6) ^{2} [/tex]

[tex]step - 2 : simplify[/tex]

use (a-b)²=a²-2ab+b² to expand the expression:[tex] \tt {8x}^{2} + 8 - (4 {x}^{2} - 24x + 36)[/tex][tex] \tt remove \: parentheses \: and \: the \: signs : \\ \tt{8x}^{2} + 8 - 4 {x}^{2} + 24x - 36[/tex][tex] \tt \: collect \: and \: combine \: like \: terms : \\ \tt{4x}^{2} + 24x - 28[/tex]

On a number line, a certain integer is 24 units away from the double of its opposite. What is the integer?

Answers

(-2) + (3-7)
(-1) * (-2)
Just evaluate the expression.
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

A family buys groceries for $150.52, including $10.80 in taxes. The bill includes $24.72 worth of items that are not taxable. Find the sales tax rate. Round your answer to the nearest tenth of a percent.

Answers

Answer:

the sales tax rate is 8.59%

Step-by-step explanation:

The computation of the sales tax rate is as follows:

= Tax value ÷ Total taxes

= $10.80 ÷ ($150.52 - $24.72)

= $10.80 ÷ $125.80

= 8.59%

Hence, the sales tax rate is 8.59%

We simply applied the above formula to determine the sales tax rate

What are the coefficients in the expression 10g + 3e + 9

Answers

Answer: 10 and 3

Step-by-step explanation:

A coefficient is a number placed before a variable so its 10 and 3 in this expression.

Simplify the expression (please)

Answers

Answer:

9(v-8)

[line]

v+6

Step-by-step explanation:

PLS HELP ME ILL GIVE U BRAINLIEST THXX Find (F-g)(2)

Answers

Answer:

-9 is the correct answer

help me please!!!!!!!!!!!!!!!!

Answers

Answer:

The second store is cheaper

1st store is $290 and the 2nd is $257

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

Can someone please help me with this??

Answers

9514 1404 393

Answer

  a) correct

  b) (30, 100) would mean an area of 100 square feet is enclosed when the width is 30 feet. (Kristina's vertex coordinates are incorrect.)

Step-by-step explanation:

a) The derivation and expression for A(w) are correct

__

b) Kristina made a mistake in using her graphing calculator to find the vertex. The actual vertex is (27.5, 756.25). The coordinates of the vertex are (w, A(w)). The vertex (w, A(w)) means that the area of the enclosed space is A(w) when the width of the enclosure is w.

If Kristina's vertex coordinates were correct (which they are not), they would tell you the enclosed area is 100 square feet when the width of the enclosure is 30 feet.

what is half of 1/4?

Answers

Answer:

It is 1/8

Step-by-step explanation:

If you split 1/4 into another half you will get 1/8

This is true because if you add 1/8 and 1/8 you get 2/8 which simplified is 1/4

solve the system using the any method:

x+3y=9
2x+5y=14

pls explain-

Answers

-3,4 is your answer
Sorry photo messed up and bad quality

Write the equation of the line that passes through the points (-4, 3) and (2,-6)?​

Answers

Answer:

-9/2

Step-by-step explanation:

Select the correct answer.

What does an individuals effective tax rate indicate?

A the average income earned
B the average tax rate
C the minimum tax rate
D. the next year's tax rate

Answers

Answer:

The answer is B the average tax rate

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

HELP PLEASE FAST
Solve for x

Answers

Answer:

[tex]x^o+2x^o=180^o [Sum~of~angles~of~straight~line~is~180^o]\\or, 3x^o=180^o\\or, x = 60^o[/tex]

Step-by-step explanation:

x + 70° = 130° {exterior angle of a triangle is equal to the sum of two opposite interior angles}

x = 130° - 70°

x = 60°

Now for 2x = 2 * 60° = 120°

Wayne bought 4 boxes of cookies. He got 28 cookies in all. Which equation, when
solved, will tell how many cookies were in each box?
PLZZZ HELPPP

4C = 28
C - 28 = 4
4(7) = C
4 + 28 = c.

Answers

4C=28

Divide Both Sides By 4

4/4 =C. 28/4 = 7


C=7


So each box has 7 cookies each. Solve using the equation 4C=28

Tina is 7 years younger than her cousin, Sierra. Their ages add up to 31. How old is Tina?

Answers

Answer:

Sierra is 19 and Tina is 12.

Step-by-step explanation:

Sierra is 19 and Tina is 12.

19-7 = 12

19+12= 31

2t + 9 + 4 + 3t = 23
full answer no word

Answers

Answer:

t = 2

Step-by-step explanation:

1880000 in scientific notation

Answers

Answer:

1.88 x 10⁶

Step-by-step explanation:

will someone plz help me

Answers

the answer is none the right answer would be x>= -37/3
All you have to do is put in one of the numbers given and put it in the inequality as x. For example, in the picture you can see that I put in each of the numbers as x for the equations and checked which ones came out as false or true. The ones that came out as true are the correct answer. So the answer is 8 and 2.

6th grade math help me pleaseeee

Answers

Answer:

D :3 -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

sqrt of 65, bc 8 squared is 64

What is the pattern for solving Benchmark Percentages of 100% ?

Answers

Answer: divide by 100 then times result by x

Step-by-step explanation: hope it helps

thx for points gl :)

How many solutions does 5x + 4y=6 have

Answers

Answer:

Error....

.

.

.

.

.

At least 2 equation needed for the solution of two variables

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