Step-by-step explanation:
25(2x) + 25(3y)
25 · (2 · x) + 25 · (3 · y)
(25 · 2) · x + (25 · 3) · y <em>Associative property </em><em>(a · b) · c = a · (b · c)</em>
(25 · 2)x + (25 · 3)y
(2 · 25)x + (3 · 25)y <em>Commutative property</em><em> a · b = b · a</em>
<em>50x + 75y</em>
An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function.
Answer:
A
Step-by-step explanation:
The product of two numbers with the same sign is positive.
Since the numbers in each pair have the same sign, the product will be positive.
Answer:
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Step-by-step explanation:
We can find the slope through two points.
m = (y2 - y1)/(x2 - x1)
m = (4 - -5)/(4 - -8)
m = 9/12 = 3/4
The slope of the line is 3/4.
Slope-intercept form of a line is y=mx+b. Where m is the slope and b is the y-intercept.
y = 3/4x + b
A point on the line is (4, 4). x = 4 and y =4.
4 = 3/4(4) + b
4 = 3 + b
b = 1
The y-intercept is 1.
Answer:
Factored Form: y=(x+1) ( x+3)y=(x+1)(x+3)
X-intercepts: (-1,0), (-3,0)(−1,0),(−3,0)
Axis of Symmetry: x= -2x=−2
Vertex: (-2,-1)(−2,−1)
Domain: (\begin{gathered}(-\infty , \infty ), ( x | x ER)\\\end{gathered}
(−∞,∞),(x∣xER)
Range: y > =-1y>=−1
