It is not factorable. Factors of 21 are. 21 and 1
7 and 3. None of those add up to 12
Answer:
Step-by-step explanation:
f(x) = (1/2) *6^x = 2^-1 * 2^x *3^x
y= 2^ (x-1) * 3^x
Domain represents all values that x can have and is all real numbers
Range all values that y can have and is y > 0 ( all real numbers that are positive)
The y-intercept is the point where the graph intersects the y-axis so x=0 there
y = 2^(0-1) *3^0 = 1/2 *1 = 1/2
the asymptote is at y= 0
Answer:
x = 1
y = -1
Point = (1,-1)
Step-by-step explanation:
2x + 3y = -1 = y = -2/3 - 1/3
5x + 2(-2/3 - 1/3) = 3
5x - 1 1/3 - 2/3 = 3
5x - 2 = 3
<u> +2 +2</u>
5x = 5
<em><u>x = 1</u></em>
2(1) + 3y = -1
2 + 3y = -1
<u>-2 -2</u>
3y = -3
<em><u>y = -1</u></em>
A quadratic function is a function of the form

. The
vertex,

of a quadratic function is determined by the formula:

and

; where

is the
x-coordinate of the vertex and

is the
y-coordinate of the vertex. The value of

determines if the <span>
parabola opens upward or downward; if</span>

is positive, the parabola<span> opens upward and the vertex is the
minimum value, but if </span>

is negative <span>the graph opens downward and the vertex is the
maximum value. Since the quadratic function only has one vertex, it </span><span>could not contain both a minimum vertex and a maximum vertex at the same time.</span>
Answer:
Step-by-step explanation:
Solution is given below in attachment