The answer is x-5 First collect like term so it will be x-9+4 and then subtract 9-4= 5 so now it will be x-5
Answer:
x = -6/65
Step-by-step explanation:
Perform the indicated multiplications: 4(-8x+5) - 1(33x-26), obtaining:
-32x + 20 - 33x + 26
Combining like terms, we get
-65x = 6, or
x = -6/65
Answer:
2W+2L=perimeter=74
Step-by-step explanation:
2W=74-2L
2(2W)+2(L/2)=76
substitute 74 - 2L for 2W in the last equation to solve for L. Put that value in the first equation to find W. Check by putting both values into the last equation.
Answer:
The most tickets were written on Saturday .On Saturday 325 tickets were issued
Step-by-step explanation:
The average number of traffic tickets issued in a city on any given day Sunday-Saturday can be approximated by
Where x represents the number of days after Sunday
T(x) represents the number of traffic tickets issued.
Sunday = x=0
Monday = x=1
Tuesday = x=2
Wednesday = x=3
Thursday = x =4
Friday = x=5
Saturday = x=6
Substitute x= 0
On Sunday 37 tickets were issued
Substitute x= 1
On Monday 115 tickets were issued
Substitute x= 2
On Tuesday 181 tickets were issued
Substitute x= 3
On Wednesday 235 tickets were issued
Substitute x= 4
On Thursday 277 tickets were issued
Substitute x= 5
On Friday 307 tickets were issued
Substitute x= 6
On Saturday 325 tickets were issued
Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued
Answer: 495 bacteria in 2 minutes.
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of bacteria.
t represents the doubling time.
From the information given
a = 10
t = 15 seconds
Since after 15 seconds, the amount of bacteria multiplies by 2, then
y = 2 × 10 = 20
Therefore
20 = 10 × b^15
Dividing through by 10, it becomes
2 = b^15
Raising both sides of the equation by 1/15, it becomes
2^(1/15) = b^15/15
b = 1.047
The equation becomes
y = 10(1.047)^t
For t = 2 minutes(2 × 60 = 120 seconds), then
y = 10(1.047)^120
y = 495 bacteria