The exact population of Vermont in 2008 would have been 600,000
J(x) is equivalent to Y. For example if you were to have a equation in slope intercept form it would be y=mx+b which can be written in the same way as your problem j(x)=mx+b. To sum it up j(x) is just another way to say y=
Answer:
x-intercept (-3,0)
y-intercept (0,-9)
Step-by-step explanation:
The x-intercepts can be found by setting y to 0 and solving for x.
y=-3x-9
0=-3x-9
Add 9 on both sides:
9=-3x
Divide both sides by -3:
9/-3=x
-3=x
The x-intercept is (-3,0).
The y-intercepts can be found by setting x to 0 and solving for y.
y=-3x-9
y=-3(0)-9
y=0-9
y=-9
The y-intercept is (0,-9).
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, <em>l</em> = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, <em>d</em>, the height of the balloon, <em>h</em> and the horizontal distance to the balloon, <em>l</em>, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;

From which we get;



The distance to the top of the balloon, <em>d </em>≈ 33.977 m
Answer:

Step-by-step explanation:
We require 2 equations with the repeating decimal after the decimal point in both equations.
The bar above 136 indicates that 136 is being repeated
let x = 0.136136...... → (1) Multiply both sides by 1000
1000x = 136.136.... → (2)
Subtract (1) from (2) to eliminate the decimal part
999x = 136 ( divide both sides by 999 )
x = 