Answer:
The exponential function y = 2 ^ x has these properties:
A. The domain is the set of all real numbers.
B. The range is zero to infinity, (0, ∞).
C. The graph appears in Quadrants I and II and never touches the x-axis.
D. The function is always positive.
E. The inverse function of y = 2 ^ x is found b)y interchanging x and y here and solving x = 2^y for y: taking the natural log (ln) of both sides, ln x = y ln 2, so that y = (ln x) / (ln 2)
The above (E) can only be done if x is positive.
Answer:
The system is inconsistent because there is no solution.
Step-by-step explanation:
I'm going to put both of these in slope-intercept form (y=mx+b where m is slope and b is y-intercept).
3x-6y=20
Solve for y.
3x-6y=20
Subtract 3x on both sides:
-6y=-3x+20
Divide both sides by -6:
y=(-3/-6)x+(20/-6)
Reduce:
y=(1/2)x+(-10/3)
The slope is 1/2 and the y-intercept is -10/3.
2x-4y=3
Solve for y.
2x-4y=3
Subtract 2x on both sides:
-4y=-2x+3
Divide both sides by -4:
y=(-2/-4)x+(3/-4)
Reduce:
y=(1/2)x+(-3/4)
The slope is 1/2 and the y-intercept is -3/4.
The lines are parallel so they have no intersection. I know they are parallel because they have the same slope and different y-intercept.
The system is inconsistent because there is no solution.
The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.
The soup recipe gives 20 gallons.
As we know one gallon produces 128 fluid ounces.
There are 20 gallons produced.
So the number of fluid ounces produced will be 20*128= 2560
Given in the question each portion contains 5 fluid ounces.
Then there is a total of 2560 numbers of fluid ounces.
So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion= 2560/5= 512
Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.
Learn more about gallon
here: brainly.com/question/19152962
#SPJ10
Answer:
1. $3.00 + $1.50 | 2. $19.50
Step-by-step explanation:
1. $3.00 dollars PLUS an additional $1.50 per person for snacks.
This shows that you should add the two together which would give you $4.50.
2. Since it is 4.50 for one person and you are taking 5 people to the movie theater the equation would be $4.50 x 5 which equals 19.50
Answer:
A. The probability is 1/12. B. The probability is 1/10
Step-by-step explanation: