Answer:
p = 17 and -15
Step-by-step explanation:
If q is directly proportional to (p-1)², this can be written as;
q = k(p-1)²
If q = 20 when p = 3
20 = k(3-1)²
20 = 2²k
20 = 4k
k = 5
To get p wen q = 80
80 = 5(p-1)²
16 = (p-1)²
p-1 = ±√16
p-1 = 16 and p-1 = -16
p = 17 and p=-16+1
p = 17 and -15
Answer:
D
Step-by-step explanation:
Take 1200+1300+850= 3350
Money per week
--------------------------------------
8*10*5= 400 $ per week
3350/400= 8.3
Answer:
<em>-3/2 and 1</em>
Step-by-step explanation:
Given the arithmetic sequence (y+2) (y+3) and (2y²+1), the common difference is gotten by taking the difference in their terms. For example if we have 3 terms T1, T2, T3... the common difference d = T2-T1 = T3-T2
From the sequence given;
T1 = y+2, T2 = y+3 and T3 = 2y²+1
d = y+3-(y+2) = 2y²+1- (y+3)
open the parenthesis
y+3-y-2 = 2y²+1- y-3
1 = 2y²+1- y-3
1 = 2y²- y-2
2y²- y-2-1 = 0
2y²- y-3 =0
Factorize the resulting expression
2y²- y-3 =0
2y²- 2y+3y-3 =0
2y(y-1)+3(y-1) = 0
(2y+3)(y-1) = 0
2y+3 = 0 and y-1 = 0
2y = -3 and y =1
y = -3/2 and 1
<em>Hence the possible values of y are -3/2 and 1</em>
Time taken for hare to catch up with the tortoise will be found as follows:
time taken=distance/(relative speed)
relative speed=(speed of hare-speed of tortoise)
speed of hare=500/20=25 cm/sec
speed of tortoise=250/50=5 cm/sec
relative speed will be:
(25-5)=20 cm/ sec
thus the total time taken for hare to catch up with the tortoise will be:
1000/20
=50 sec
Answer: 50 sec
$2.189 there uu go.......
