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AlladinOne [14]
3 years ago
12

X - y = 4 and x + y = 9

Mathematics
2 answers:
Contact [7]3 years ago
7 0

\huge\red{ƛƝƧƜЄƦ}

System of Linear Equations entered :

[1] x - y = 4

[2] x + y = 9

Graphic Representation of the Equations :

y + x = 4 y + x = 9

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -x + 9

// Plug this in for variable y in equation [1]

[1] x - (-x +9) = 4

[1] 2x = 13

// Solve equation [1] for the variable x

[1] 2x = 13

[1] x = 13/2

// By now we know this much :

x = 13/2 y = -x+9

// Use the x value to solve for y

y = -(13/2)+9 = 5/2

Solution :

{x,y} = {13/2,5/2}

<h2 /><h2>Hope it Helps ☺</h2>

alisha [4.7K]3 years ago
5 0

Answer:

5-1=4 and 5+4=9

Step-by-step explanation:

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Savatey [412]

Answer:

20 times

Step-by-step explanation:

Given the following :

Probability of rolling a number less than 3 on a number cube:

Required outcome = (1, 2)

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome / Total possible outcomes

= 2 /6

= 1/3

Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :

(Probability of obtaining a number less than 3 in one roll × number of rolls)

= (1 / 3) × 60

= 60 / 3

= 20 times

5 0
3 years ago
Find the derivative of
kirill [66]

Answer:

\displaystyle y'(1, \frac{3}{2}) = -3

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>

  • Coordinates (x, y)
  • Functions
  • Function Notation
  • Terms/Coefficients
  • 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>

<u />\displaystyle y = \frac{3}{2x^2}<u />

\displaystyle \text{Point} \ (1, \frac{3}{2})

<u>Step 2: Differentiate</u>

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

<u>Step 3: Solve</u>

  1. Substitute in coordinate [Derivative]:                                                              \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}
  2. Evaluate exponents:                                                                                         \displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}
  3. Divide:                                                                                                               \displaystyle y'(1, \frac{3}{2}) = -3

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

Unit: Derivatives

Book: College Calculus 10e

6 0
3 years ago
The scale on a drawing is 2:in:5yd. If a length on the drawing is 6 inches, what is the actual length.
Svetach [21]

Answer:

15 yards

Step-by-step explanation:

proportion:

2/5:6/X

2x=30

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3 0
3 years ago
2+2+4+32<br> please solve :D
Arturiano [62]

Answer:

40

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?
Ulleksa [173]
Total cost job=
Retail price of parts+labor cost+manufacturing overhead

Total cost job 82

Retail price of parts 0

Labor cost=7.5×6.5=48.75

Manufacturing overhead ?

82=0+48.75+?

?=82−48.75

?=33.25

Manufacturing overhead is 33.25

Now find manufacturing overhead rate from the cost of labor
33.25÷48.75=0.682×100=68.2%

The answer 68.2%




4 0
3 years ago
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