When you translate a graph to the left you ADD a number in the power.
Since the power is already x - 1, add 7 to -1 and get x + 6
g(x) = 6(2)^(x+6) +4
It is said that the graph plotted is the money spent to the number of items of clothing bought.
It will look like this:
The domain by definition is the set of inputs.
The constraint on the domain here is the monthly spending cannot be greater than $50.
So the domain will be [0,50] in dollars on the x-axis.
The answers are: 4.5 g and 56.25 g respectively.
Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g
For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g
The value of x is the number inside the parenthesis, so h(-4) gives x a value of -4.
The equation says when X is ≤ -4 use the first equation
So h(-4) = -1/2(x) -15
= -1/2(-4) -15
= 2 -15
= -13
When x = -2 (h(-2) ) use the 2nd equation:
h(-2) = 20-3x^2
=20-3(-2)^2
= 20-3(4)
=20-12
=8
Now you have -13 + 3(8)
= -13 + 24
=11
The answer should be 11
Answer:
12:6, or 12 pints of lemonade
