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Drupady [299]
2 years ago
8

Solve the following equation for x, in terms of a and b. ax = 15 + bx

Mathematics
1 answer:
charle [14.2K]2 years ago
8 0

Value of x will be x=\frac{15}{a-b}.

Equation given in the question → ax=15+bx

To find the value of 'x' in terms of a and b, we will simplify the given equation,

ax=15+bx

ax-bx=(15+bx)-bx

x(a-b)=15

x=\frac{15}{a-b}

           Therefore, Values to filled → Blank 1 = 15

                                                           Blank 2 = (a - b)

Learn more,

brainly.com/question/14318220

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A rectangles length is 2 in more than its width. The area of the rectangle is 143 square inches. Find the dimensions of the rect
Anastaziya [24]

Answer: The length is 13 inches and the width is 11 inches.

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the rectangle is 143 square inches. This means that

LW = 143 - - - - - - - - - - - - --1

The rectangle's length is 2 in more than its width. This means that

L = W + 2

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 143

W² + 2W - 143 = 0

W² + 13W - 11W - 143 = 0

W(W + 13) - 11(W + 13) = 0

W + 13 = 0 or W - 11 = 0

W = - 13 or W = 11

Since the width cannot be negative, it means that W = 11

L = W + 2 = 11 + 2

L = 13

4 0
3 years ago
What is the mean of this? 48, 12, 35, 57, 42, 15, 74, 29. <br>ILL GIVE U BRAINLYEST​
BlackZzzverrR [31]

answer:

48 + 12 + 35 + 57 + 42 + 15 + 74 + 29 = 312

divide by number of numbers,

312 / 8 = 39

the mean is 39.

<em>if correct, please mark the brainliest :)</em>

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8 0
2 years ago
Marianne wanted to know students' opinion on the new schedule at school. She survey's the first
Sonja [21]

I think it is a Convience Sampling.

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3 years ago
Value of the derivative of g(x)=8-10Cosx at 'x=0' is?
VLD [36.1K]

Answer:

g'(0) = 0

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>Algebra I</u>

  • Function Notation

<u>Pre-Calculus</u>

  • Unit Circle

<u>Calculus</u>

  • Derivatives
  • Derivative Notation
  • The derivative of a constant is equal to 0
  • Derivative Property: \frac{d}{dx} [cf(x)] = c \cdot f'(x)
  • Trig Derivative: \frac{d}{dx} [cos(x)] = -sin(x)

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 8 - 10cos(x)

x = 0

<u>Step 2: Differentiate</u>

  1. Differentiate [Trig]:                    g'(x) = 0 - 10[-sin(x)]
  2. Simplify Derivative:                   g'(x) = 10sin(x)

<u>Step 3: Evaluate</u>

  1. Substitute in <em>x</em>:                    g'(0) = 10sin(0)
  2. Evaluate Trig:                      g'(0) = 10(0)
  3. Multiply:                               g'(0) = 0
3 0
3 years ago
What must a clerk's sales be to give him $83.50 commission if the rate of commission is 40%?
FromTheMoon [43]

Divide commission amount by percentage:

83.50 / 0.40 = 208.75

Sales must be $208.75

6 0
2 years ago
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