Answer:
K = (2v)/2
Step-by-step explanation:
1. Multiply both sides by 2/n
<u>Now: (2v)/n = b + K</u>
<u></u>
2. Subtract k from both sides
<u>Now: (2v)/n - b = K</u>
You've been doing that all this time and didn't even realize it !
Every plain old number that you ever see is a rational number.
Every equation that has plain old numbers next to the variables
is an equation with rational coefficients.
If a variable ever has (pi) or a square root or a trig function next to it,
then that's an irrational coefficient. But I'll just bet you haven't ever
seen any of these yet.
Area=basexheight
Area=9x4
Area=36
If two variables are in direct proportion, then as one increases, the other increases, and as one decreases, the other decreases. An example: If you're working, the amount of money you make (variable y) is in direct proportion to how many hours you work (variable x). The more hours you work, the more money you make, and vice versa. You can put these into the equation y = kx, where k is a constant rate at which x and y are directly proportional.
<span>If two variables are in inverse proportion, then as one increases, the other decreases, and vice versa. For example: if you take unpaid vacation from work, the number of days taken off (variable x) is in inverse proportion to the amount of money you make (variable y). The more vacation you take, the less money you'll make, and vice versa. You can put these into the equation y = k/x, where k is a constant rate at which x and y are inversely proportional.</span>
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
