Answer:
Step-by-step explanation:
The standard form for an exponential equation is
We have 2 unknowns, a and b, but that's all good because we have 2 (x, y) coordinates we can utilize in order to find a and b. In our coordinate pair, x is the number of years gone by and y is the value after that number of years. The problem tells us that an item was purchased for $500. That translates to "before any time has gone by, the initial value of the item is $500". In other words, with x being time, no time has gone by, so x = 0. When x = 0, y = 500. (0, 500). Do the same for the next set of numbers. When x = 2 years gone by, the value is $551.25, so the coordinate is (2, 551.25). Now we use them to find a. Use the first coordinate:
Anything raised to the 0 power = 1, therefore:
and a = 500.
Now onto the next coordinate point using the a value we just found:
Divide both sides by 500 to get
so b = 1.05.
Now we have the values for a and b, so we fill in:
Answer:
A(t) = -1.8t - 4.5
Step-by-step explanation:
Let the starting level of Mr. Mole is 'b'.
Since Mr. Mole is descending with respect to the ground, at the rate = 1.8 meters per minute
After time 't' altitude of Mr. Mole will be = b - 1.8t
If we represent the altitude of Mr. Mole with A(t).
Then the equation will be,
A(t) = b - 1.8t
Or, A(t) = -1.8t + b
At the time t = 5 minutes, his altitude was 13.5 meters.
So, -13.5 = -1.8×(5) + b
b = -13.5 + 9
b = -4.5
Now we substitute the value of b in the equation.
A(t) = -1.8t - 4.5
The answer is B. I just answered this question earlier!
1.) parallel lines has equal slopes. Line x = 4 is a vertical line, hence required line is a verticsl line with equation x = 5.
2.) the line x = -2 is a vertical line, hence required line is a horizontal line with equation y = 1.
3.) line y = -x + 6 has a slope of -1, hence, required equation is y - y1 = -1(x - x1)
y - 2 = -(x - (-4))
y - 2 = -(x + 4)
y - 2 = -x - 4
y = -x - 4 + 2
y = -x - 2
Answer:
y - 1 = 2/3(x - 1).
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
y = 2/3x + 1/3 which gives the slope m = 2/3.
We can now find a point on the line by putting x = 1 say then find y:
y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).
(x1, y1) = (1, 1)
So the answer is ;
y - 1 = 2/3(x - 1).
