Answer:
(1)-
b1 =~3.4
bo= ~ 82.8
(2)- ý=[82.8]+[3.4] x
(3)- The change in annual sales ($1000) for every year of experience is= 3.4
(4)-r^2=~ 0.847
Estimated annual sales= $110514
Step-by-step explanation:
(1)- b1 = 3.4606
=~3.4
bo = 82.8296
= ~ 82.8
(2)-
ý=[82.8]+[3.4] x
(3)-The change in annual sales ($1000) for every year of experience is= 3.4
(4)- r^2 = 0.84776
=~ 0.847
Percentage of the variation in annual sales can be explained by the years of experience
of the salesperson 84.7%.
Estimated annual sales
= 82.8296 + 3.4606 × 8 ($ 1000).
= 110.5144 ( $1000)
= $ 110514:4
= $110514
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
5x + y = 9....multiply by 7
10x - 7y = -18
----------------
35x + 7y = 63 (result of multiplying by 7)
10x - 7y = -18
----------------add
45x = 45
x = 45/45
x = 1
5x + y = 9
5(1) + y = 9
5 + y = 9
y = 9 - 5
y = 4
solution is : (1,4)
=========================
-4x + 9y = 9
x - 3y = -6 ....multiply by 4
----------------
-4x + 9y = 9
4x - 12y = -24 (result of multiplying by 4)
---------------add
- 3y = - 15
y = -15/-3
y = 5
x - 3y = -6
x - 3(5) = -6
x - 15 = -6
x = -6 + 15
x = 9
solution is : (9,5)
The graph of a function is linear of the graph is a straight line.
Answer:
B
Step-by-step explanation:
Starting with 7,000, after 0 years there will be no increase so you still have 7,000.
The fist year you increase by 5% of 7,000.
.05x7000=350
You have a 350 increase, add that to the original 7000 to find the actual population after 1 year (domain value 1).
After 1 year: 7350
For year 2 there is an increase of 5% again, only this time we find 5% of 7350 since that was the previous years population.
.05x7350=368
Add that to previous population.
368+7350=7718
At this point so far the yearly populations have been (7000, 7350, 7718)
Answer choice B is the only one to have this progression.
