exists and is bounded for all
. We're told that
. Consider the interval [0, 3]. The mean value theorem says that there is some
such that

Since
, we have

so 19 is the largest possible value.
The answer choices tell you this is a parabola.
The given points tell you it opens upward and the vertex is (2, -3).
Your knowledge of the vertex form of the equation is the only "technology" that you need. The vertex form is
y = a(x - h)² + k . . . . . for vertex (h, k)
The fact that the y-value is 1 more than its vertex value when |x-2| = 1 tells you the scale factor "a" is 1.
You can write the model as
D. f(x) = (x -2)² - 3
Answer:
The graph intersect the y-axis at (0,4.5)
The graph intersect the x-axis at (-3.6,0)
Step-by-step explanation:
The equation is;
-4y=-5x-18
Dived every term by -4

plot using a graph tool to view the liner graph as below
Answer:
Expression representing number of text messages sent on Tuesday = 2x , where x = text messages sent on Monday
Step-by-step explanation:
Let number of messages sent on Monday = x
So, number if messages sent on Tuesday = 2 times x = 2x
Number of texts sent on Wednesday = 12 more than texts sent on Tuesday = 2x + 12
Number of texts sent on Thursday = Half the texts sent on Wednesday = 1/2 (2x + 12) = x + 6
Answer:
b) 105°
d) 130°
Step-by-step explanation:
An external angle has the same measure as the sum of the remote internal angles.
b) ? = 25° +80° = 105°
d) ? = 35° +95° = 130°
_____
This should be fairly obvious if you consider that the adjacent internal angle together with the external angle totals 180°, and the adjacent internal angle together with the other two internal angles totals 180°.
If the two "remote" angles are A and B, and the adjacent internal angle is C, then we have in symbols ...
A + B + C = 180° = ? + C
If we subtract C, then we find ...
A + B = ? . . . . . . the fact we used above