Answer:
Step-by-step explanation:
Since G(0) = g(0) = 20, the parabolic graphs of these functions share a y-intercept: (0, 20).
Completing the square puts these equations into vertex form, which simplifies comparisons of the graphs:
G(x) = 2x^2 - 12x + 20 becomes
2(x^2 - 6x + 9 - 9) + 20, or
2(x - 3)^2 - 18 + 20, or 2(x - 3)^2 + 2. Comparing this result to
a(x - h)^2 + k, we see that the vertex is located at (3, 2).
Going through the same process for g(x) 2x^2+12x+20, we get:
g(x) = 2(x + 3)^2 + 2, whose vertex is at (-3, 2).
Next time, please include ALL info pertaining to your question, including the set of possible answer choices. Thank you.
Each book costs $34 for this problem you need to first subtract 18 from 324 which gets you 306 then divide 306 by 9 and you get 34
Answer:
The slope of Function A is greater than the slope of function B while the y-intercept of Function B is greater than the y-intercept of function A.
Step-by-step explanation:
Function A is f(x) = 5x + 2
The slope is 5 and the y-intercept is (0, 2).
Function B. The slope is (5-2) / (0- -1) = 3.
also (8-5) / (1 - 0) = 3
The slope is 3.
The y-intercept is at (0, 5) because one point on the graph is (0, 5).
Answer:
5 units
Step-by-step explanation:
Find the distance between the point - 3, 2 and 1 - 1
Given data
x1= -3
y1= 2
x2= 1
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
subtitute
d=√((1-(-3))²+(-1-(2))²)
d=√((1+3))²+(-1-2))²)
d=√((4)²+(-3))²)
d=√16+9
d=√25
d=5
Hence the distance between the points is 5 units
