1. The value of (cd)(x) is equal to the product of c(x) and d(x) which is equal to,
5(x + 3) / (x - 2)
The function can take all real numbers except 2 because that would make the denominator 0.
2. To answer, substitute first 5 to the given functions,
f(x) = 7 + 4x = 7 + 4(5) = 27
g(x) = 1/2x = 1 / (2)(5) = 1/10
Dividing 27 by 1/10 is 270.
Answer:
x ≈ 18
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Trigonometry</u>
Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA
- a is a side length
- b is a side length
- c is a side length
- A is an angle corresponding with side a
Step-by-step explanation:
<u>Step 1: Define</u>
a = x
A = 30°
b = 16
c = 30
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: x² = 16² + 30² - 2(16)(30)cos30°
- Exponents: x² = 256 + 900 -2(16)(30)cos30°
- Evaluate: x² = 256 + 900 -2(16)(30)(√3/2)
- Multiply: x² = 256 + 900 - 480√3
- Add: x² = 1156 - 480√3
- Subtract: x² = 324.616
- Isolate <em>x</em>: x = √324.616
- Evaluate: x = 18.0171
- Round: x ≈ 18
Answer:
-5/6
Step-by-step explanation:
Divide fractions is the same as multiplying the first by the reciprocal of the second. So this is now -(1/2)*(5/3). Then you multiply the top by the bottom to get -(5/6)
Answer:model sampling
Step-by-step explanation:
It based survey on a specific type of people meaning women taking into account other characteristics like age,religion,etc
9514 1404 393
Answer:
- 132v^2, -v
- 24v^6, -2v^3
- 18v^12, 7v^6
- -56v^14, -15v^7
- 3v^20, -2v^10
Step-by-step explanation:
The product is the product of the numbers, multiplied by the product of the variable factors. The variable is the same in every term, so the product of the variable factors will have an exponent that is the sum of the exponents.
The difference will have a coefficient that is the difference of the coefficients.
__
(11v)(12v) = 132v^2 . . . . 11v -12v = -v
(4v^3)(6v^3) = 24v^6 . . . . 4v^3 -6v^3 = -2v^3
(9v^6)(2v^6) = 18v^12 . . . . 9v^6 -2v^6 = 7v^6
(-8v^7)(7v^7) = -56v^14 . . . . -8v^7 -7v^7 = -15v^7
(-3v^10)(-v^10) = 3v^20 . . . . -3v^10 -(-v^10) = -2v^10
