Answer:
k = 3
Step-by-step explanation:
Given that y and x are directly related then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 81 when x = 27
k =
=
= 3
<span>Remember, the domain of a function is all of the x values in
the (x,y) coordinates. For this, let’s take a few bench mark coordinates. (0,0)
(1,2.5)(2,0) (3, -9). Those definitely aren’t all real numbers, so eliminate A.
X is not only less than or equal to 0, so eliminate C. </span>
<span>It’s B.</span>
To answer this, you need to know the general form of an absolute value function. the equation for this is f(x<span>) = </span>a|x<span> - </span>h<span>| + </span>k, and in this equation, the vertex is (h, k).
with that information, you can see that your vertex will be (-5, 7). you must take the negative for 5 because the general equation states that your h value is usually subtracted from x. to check your vertex, try plugging it into your general equation:
f(x) = a|x - (-5)| + 7
f(x) = a|x + 5| + 7 ... you see that this matches your given equation. this last part here was just to show why your 5 must be negative; your answer is bolded.
A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction.
Step-by-step explanation:
y=4/3x+4
y int =4
x int = -1
the graph is an increasing graph line that touch 4 in y and -1 in x
m=4/3