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Lelu [443]
3 years ago
12

Given the equation x + 2y = 0, which equation will form a system of linear equations without a solution?

Mathematics
1 answer:
Oxana [17]3 years ago
3 0

Answer:

2.5 and -0.75

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Find the derivative of <br><img src="https://tex.z-dn.net/?f=%20y%20%3D%20%5Csqrt%5B3%5D%7Bx%7D%20" id="TexFormula1" title=" y =
MAXImum [283]

Answer:

\displaystyle y'(27) = \frac{1}{27}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Exponential Rule [Root Rewrite]: \displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}
  • Exponential Rule [Rewrite]: \displaystyle b^{-m} = \frac{1}{b^m}

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

y = ∛x

x = 27

<u>Step 2: Differentiate</u>

  1. [Function] Rewrite [Exponential Rule - Root Rewrite]:                               \displaystyle y = x^{\frac{1}{3}}
  2. Basic Power Rule:                                                                                         \displaystyle y' = \frac{1}{3}x^{\frac{1}{3} - 1}
  3. Simplify:                                                                                                         \displaystyle y' = \frac{1}{3}x^{-\frac{2}{3}}
  4. Rewrite [Exponential Rule - Rewrite]:                                                           \displaystyle y' = \frac{1}{3x^{\frac{2}{3}}}

<u>Step 3: Solve</u>

  1. Substitute<em> </em>in <em>x</em> [Derivative]:                                                                           \displaystyle y'(27) = \frac{1}{3(27)^{\frac{2}{3}}}
  2. Evaluate exponents:                                                                                     \displaystyle y'(27) = \frac{1}{3(9)}
  3. Multiply:                                                                                                         \displaystyle y'(27) = \frac{1}{27}

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

8 0
3 years ago
A tissue can be 0.000075 meters thick.
Setler [38]

Answer:

The required expression is 7.5\times 10^5

Step-by-step explanation:

Consider the provided information.

A tissue can be 0.000075 meters thick and we need to represent it into scientific notation.

Steps to write a number in scientific notation.

  • Move the decimal place to the right so that the new number from 1 up to 10.
  • Determine the exponent, the exponent is the number of times you moved the decimal.

Now, consider the number 0.000075

Move the decimal point to 5 place right so that the new number from 1 up to 10.

Now, put the exponent the number of times you moved decimal. 7.5\times 10^5

Hence, the required expression is 7.5\times 10^5

5 0
3 years ago
A group of students was asked about the number of e-mails they each sent that day. The results are: 0,0,0,0,1,2,2,3,5,5, 8, 9, 1
masha68 [24]

Answer:

Step-by-step explanation: I don’t know I’m sorry

8 0
3 years ago
Ms Thomas drove at a constant rate for 45. She drove 39 miles during that time. If distance is determined by the equation d=rt w
Cerrena [4.2K]

Answer:

Ms. Thomas was driving at constant rate of 52 miles/hour.

Step-by-step explanation:

Given:

Total time to travel (t) = 45 minutes

Distance drove (d) = 39 miles

we need to find the constant rate in miles per hour at which she was driving.

Solution:

Now we know that;

We need to find constant rate at miles per hour;

But time is given in minutes.

So we will convert minutes into hour by dividing by 60 we get;

time t =\frac{45}{60}= 0.75\ hrs

Now we know that;

Distance is equal to rate times time.

framing in equation form we get;

distance d =rt

Or

rate r= \frac{d}{t} = \frac{39}{0.75}= 52 \ mi/hr

Hence Ms. Thomas was driving at constant rate of 52 miles/hour.

6 0
3 years ago
The figure shows a carpeted room. How many square feet of the room are carpeted?
damaskus [11]

Answer:

The answer is B. 28.

Step-by-step explanation:

Did the test and got it correct! PLEASEEE BRAINLIEST

6 0
3 years ago
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