Answer:
See attached
Step-by-step explanation:
Given the numbers 1,2,3,4 and 5
- Odd Numbers =1, 3 and 5
- Prime Numbers = 2, 3 and 5
Let O be the event that the number is Odd
Let E be the event that the number is Prime
Then the intersection of Odd and Prime Numbers: 
Since 4 is neither odd nor prime, we place it outside of the two circles.
See the attached diagram for the required Venn diagram.
Answer:
x-7 > -19
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Step-by-step explanation:
Answer:
$705.79
Step-by-step explanation:
(see attached for reference)
the formula for compound interest is
A = P [1 + (r/n) ]^(nt)
Where:
P = Principal Amount = $500
r = annual interest rate = 9% = 0.09
t = 4 years
n = 1 (compounded annually)
A = 500 [1 + (0.09/1) ]^(1 x 4)
A = 500 [1 + 0.09 ]^(4)
A = 500 [1.09 ]^(4)
A = $705.79
Answer:
- A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero
- To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y
- The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
- In mathematics, a zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0.
refer this attachment for 1st question ( given the rational function f(x)=2x+6/x-3, Answer the following questions. )
Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
