Given:
The equation of a function is
To find:
The graph of the given function.
Solution:
The vertex form of a parabola is
...(i)
Where, (h,k) is vertex of the parabola.
We have,
...(ii)
From (i) and (ii), we get
The vertex of the parabola is (4,1).
Now, the table of values is
x y
2 5
3 2
4 1
5 2
6 5
Plot these points on a coordinate plane and connect them by a free hand curve.
The graph of given function is shown below.
Jackie wants to keep her total work time <em>under </em>20 hours, so we can set up a rough inequality right away:
(work time in hours) < 20
Now, it's going to take here 1/2 = 0.5 hours to finish each necklace, an 1 hour to finish each bracelet, so if she's making x necklaces, it'll take her 0.5x hours to make all of them, and if she's making y bracelets, it'll take her 1y = y hours to finish those. Putting the two together, it'll take her 0.5x + y hours altogether to make the necklaces and bracelets. Putting that together with our first inequality, we get the final inequality
0.5x + y < 20
The answer:
X1 = -1 X2 = 3
Explanation: Down the images
Answer:
Theta = 59 degrees
Step-by-step explanation:
Here, we want to get the value of the marked angle
To do this, we use the appropriate trigonometric ratio
From what we have,
The side 42 ft is adjacent the angle given
The side facing the right angle is 82 ft
The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse
Cos theta = 42/82
theta = cos^-1 0.5122
theta= 59.189
To the nearest degrees, this is 59 degrees
