y = −1/4x^2 + 4x − 19
1. Use x = -b/2a to find x.
x = -4/2(-1/4)
x = -4/(-1/2)
x = -4/1 • (-2/1)
x = 8/1
x = 8
2. Plug x into the function to find your vertex.
Replace every x you see in the function with 8 and do the math.
Take it from here.
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2
Answer:
The two equations are identical, thus there are infinite number of solutions
Step-by-step explanation:
Tom Quig traveled 280 miles east of St. Louis. For most of the trip he averaged 60 mph, but for one period of time he was slowed to 10 mph due to a major accident. If the total time of travel was 8 hours, how many miles did he drive at the reduced speed?
.
You will need to apply the "distance formula":
d = rt
where
d is distance
r is rate or speed
t is time
.
Let x = time driving at reduced speed
then
8-x = time driving at 60 mph
.
60(8-x) + 10x = 280
480 - 60x + 10x = 280
480 - 50x = 280
480 = 50x + 280
200 = 50x
4 hours = x
.
This means he spent 4 hours driving at 10 mph, the distance he drove at this rate then is:
4 * 10 = 40 miles
