Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
(2v-1)(21v^2+17)
Step-by-step explanation:
add and subtract the second term to the expression and factor by "grouping"
answer should be:
(2v-1)(21v^2+17)
Complete Question
The coach recorded how fast his runners ran 1 mile. Emmett ran a mile in 9.73 minutes, Kate ran a mile in 10.87 minutes, and Rubin ran a mile in 8.46 minutes. How many more minutes did Emmett run than Robin?
a. 1.37 minutes
b. 1.27 minutes
c. 2.27 minutes
d. 1.27 seconds
Answer:
1.27 minutes
Step-by-step explanation:
Emmett ran a mile in 9.73 minutes
Kate ran a mile in 10.87 minutes
Rubin ran a mile in 8.46 minutes.
How many more minutes did Emmett run than Robin?
This is calculated as:
Number of minutes Emmett ran - Number of minutes Rubin ran
= 9.73 minute - 8.46 minutes
= 1.27 minutes
Option b is correct
Answer:
C. 10.15
Step-by-step explanation:
If you left 8.25 and changed the minus sign to a addition sign and the -1.9 to just 1.9 and then add 8.25 + 1.9 together you will then get 10.15 a way to remember this is “leave, change, change,” you leave the first number and change the subtraction and negative number sign. :)
Compound percentage reduction can be calculated by multiplying the initial number by (1-x)^t where x is the percentage reduction (/100, i.e. 1% reduction is 0.01), and t is the number of times it has reduced.
So:
a)
Where t is the number of weeks.
We can then just substitute in to work out the final pressure:
b) p = 45*0.94^6 =
31psi
