Answer:
Option B is correct
Step-by-step explanation:
Given:
f(x) = -20x^2 +14x +12 and
g(x) = 5x - 6
We need to find f/g and state its domain.
f/g = -20x^2 +14x +12/5x - 6
Taking -2 common from numerator:
f/g = -2(10x^2 - 7x - 6) / 5x -6
Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6
Putting in the above equation
f/g = -2(10x^2 - 12x +5x -6)/ 5x -6
f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6
f/g = -2 ( (2x+1)(5x-6))/5x-6
cancelling 5x-6 from numerator and denominator
f/g = -2(2x+1)
f/g = -4x -2
The domain of the function is set of all values for which the function is defined and real.
So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.
So, Option B is correct.
Answer:
The first listed equation is the correct equation to solve
The correct answer is: t = 5 seconds
Step-by-step explanation:
Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

which solving for "t" becomes:

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.
That is: t = 5 seconds
Answer:
$52091.95
Step-by-step explanation:
From the given information:
The number of cities visited = 14
Cost of each cooking demonstration = $3450
The total cost of cooking demonstration = $3450 × 14
= $48300
Book signing material = $1475
∴
The total cost of cooking demonstration and book material is:
= $48300 + $1475 = $49775 ---- (i)
Total meter traveled in visiting 14 cities = 240 * 13 = 3120 miles
However; suppose the weekly rental fee fine = $x &
the change per mile = $y
Then
y*540 + x = 1188.15 --- (ii)
y*880 + x = 1310.55 --- (iii)
From equation (ii) and (iii)
y *340 = 122.4
y = 122.4/340
y = 0.36
From (ii)
y × 540 + x = 1188.15
(0.36)540 + x = 1188.15
x = 1188.15 - (0.36)540
x = 993.75
Hence, the total cost of travelling by RV camper = $1993.75 + 3120 × (0.36)
= $2116.95
Thus, the total amount the publisher should budget = $49975.0 + $2116.95
= $52091.95
Answer:
Reflexive Property
ASA
CPCTC
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given


Required

Since the events are mutually exclusive, then:

So, we have:

Take LCM


