The negate of this conditional statement as : a∨(∼b).
<h3>What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?</h3>
- A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
- A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
- For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have the the following conditional statement -
c ⇒ (a∧∼b)
We can write the negate of this conditional statement as -
a∨(∼b)
Therefore, the negate of this conditional statement as : a∨(∼b).
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Answer: 30.5 cm²
To get the the area of the rectangle all we have to do is:
Rectangle Area = 6 × 8 = 48 cm²
Same thing to the circle, multiply the radius and pi:
Circle Area = 3.14 x 5² = 78.5 cm²
We have to subtract the two areas to find the shaded area.
78.5 - 48 = 30.5 cm²
I hope this helps!
Answers:
Vertical asymptote: x = 0
Horizontal asymptote: None
Slant asymptote: (1/3)x - 4
<u>Explanation:</u>
d(x) = 
= 
Discontinuities: (terms that cancel out from numerator and denominator):
Nothing cancels so there are NO discontinuities.
Vertical asymptote (denominator cannot equal zero):
3x ≠ 0
<u>÷3</u> <u>÷3 </u>
x ≠ 0
So asymptote is to be drawn at x = 0
Horizontal asymptote (evaluate degree of numerator and denominator):
degree of numerator (2) > degree of denominator (1)
so there is NO horizontal asymptote but slant (oblique) must be calculated.
Slant (Oblique) Asymptote (divide numerator by denominator):
- <u>(1/3)x - 4 </u>
- 3x) x² - 12x + 20
- <u>x² </u>
- -12x
- <u>-12x </u>
- 20 (stop! because there is no "x")
So, slant asymptote is to be drawn at (1/3)x - 4
