1) Graph a straight segment that starts at the point (0, 1000) and (200/13 , 0)
That segment is in the first quadrant and is like a ramp going downward from left to right.
2) a) slope = - 65 is the change in y (the # of miles remaiing) per miles run (change in x). It is negative because when the Vieras have increase the distance run (x), the distance remaining (y) decreases.
b) the y - intercept (1000) representes the distance from the starting point (Philadelphia) fo the destiny (Orlando), i.e. the distance in miles remaining before departing (when x =0).
Answer:
Axis of Symmetry: x = -4
Vertex: (-4, 54)
Step-by-step explanation:
We use a graphing calc.
Answer:
1. 8.85 quarts
2. 44.25%
Step-by-step explanation:
In 15 quarts of a solution with percentage of antifreeze = 35%
Amount of antifreeze = 35% × 15
= 0.35 × 15
= 5.25 quarts
that solution is mixed with 5 quarts of a solution with percentage of antifreeze = 72%
Amount of antifreeze = 72% × 5
= 0.72 × 5
= 3.6 quarts
Total amount of mixture = 15 quarts + 5 quarts = 20 quarts
1. Now we will calculate the total amount of antifreeze in the resulting mixture.
= 5.25 + 3.6 = 8.85 quarts
2. The percentage of the resulting mixture is antifreeze
= 
= 44.25%
1. total amount of antifreeze is 8.85 quarts
2. the percentage of antifreeze is 44.25%
9514 1404 393
Answer:
(5, 6) is (h, k)
Step-by-step explanation:
Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).
Parent:
f(x) = x^2
Transformed:
f(x) = a(x -h)^2 +k
__
When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...
- a = 2
- -h = -5 ⇒ h = 5
- k = 6
Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.
10 cm + 12 cm + 5 cm + 6 cm
= 33 cm