The answer is 3/50. If you have Texas Instruments calculator, you type in 0.06, the 2nd button and then hit the MATH button and press enter on #1. It will convert it into a fraction for you. And 3/50 is in it's simplest form.
Answer:
95086
Step-by-step explanation:
We let the population one year ago be x, the relationship between x and the present population is;
(105/100)*x = 104832
This is because the present population exceeds the population one year ago by 5%.
therefore,
1.05*x = 104832
x = 99840
We now let the population two years ago be y, the relationship between y and the population one year ago is;
(105/100)*y = 99840
This is because the population one year ago exceeds the population two years ago by 5%.
Therefore,
1.05*y = 99840
y = 95085.7
Rounding to the nearest whole number;
95086
(0,2) and (2,-2)
The first number is the x axis, so it goes 2 units from 0 to 2.
The second number is the y axis, so to goes -4 units from 2 to -4
Slope is the rate of change per one unit. (on the x axis)
2has to be divided by 2 to get one unit so -4 has to be divided by 2 as well.
-4/2=-2
That is your solution
Answer:
(- 1, 6 )
Step-by-step explanation:
Equate the right sides of both equations, that is
x² - 2x + 3 = - 6x ← add 6x to both sides
x² + 4x + 3 = 0 ← in standard form
(x + 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 1 = 0 ⇒ x = - 1
Substitute these values into f(x) = - 6x
f(- 3) = - 6(- 3) = 18 ⇒ (- 3, 18 )
f(- 1) = - 6(- 1) = 6 ⇒ (- 1, 6 )