Answer:
a) r ^ ¬q
b) p ^ꓥqꓥ^ r
c) r → p
d) p ^ ¬qꓥ^ r
e) (p ^ q) → r
f) r ↔ (q v p)
Step-by-step explanation:
ꓥ^ = AND Conjunction
vꓦ = OR disjunction
¬ = NOT Negation
↔ = Double Implication
→ = implication
Answer:
0; 10; 20
Step-by-step explanation:
x is the independent variable
y is the dependent variable
y is dependent on x
a) For what value of the independent variable will the value of the function be equal to −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Therefore, if the independent variable is 0, the value of the function will be -6.
b) For what value of the independent variable will the value of the function be equal to −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Therefore, if the independent variable is 10, the value of the function will be -3.
c) For what value of the independent variable will the value of the function be equal to 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, if the independent variable is 20, the value of the function will be 0.
Answer:
GGGG
Step-by-step explanation:
GGGGG
Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is

Where
is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:

So the equation is:

The ball hits the ground when when
So

We use the quadratic formula to solve the equation for t
For a quadratic equation of the form

The quadratic formula is:

In this case

Therefore

We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
Bryan has to take 8 classes for both Pro's to be the same price.
Step-by-step explanation:
Given,
Monthly charges of Pro at Windy = $20.00
Charges per lesson = $10.00
Let,
x be the number of lessons
W(x) = 10x +20
Monthly charges of Sunny Sands = $100.00
They offer unlimited classes.
S(x) = 100
For the price to be same;
W(x) = S(x)

Dividing both sides by 10

Bryan has to take 8 classes for both Pro's to be the same price.
Keywords: function, division
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