Answer is: a= -4
STEP
1
:
1
Simplify —————
a + 3
Equation at the end of step
1
:
a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:
3
Simplify —————
a - 3
Equation at the end of step
2
:
a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:
a
Simplify ——————
a2 - 9
Equation at the end of step
3
:
a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3
Equation at the end of step
4
:
(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :
3a + 12 = 3 • (a + 4)
Equation at the end of step
6
:
3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)
3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)
a+4 = 0
Subtract 4 from both sides of the equation :
a = -4
The formula for probabilty is given by; the Probability of an event(A) is the number of favorable outcomes divided by the total number of outcomes possible in a scenario. It can also be denoted by the formula:
In our problem we have 16 trains that are full and 4 which are not, therefore there are a total number of 20 trains in the Westford Station.
The number of favorable outcome is equal to the number of trains that are full since it is the one asked in our question as the one which is more favored to come, according to the question.
Therefore, the number of favorable outcome = number of full trains = 16, and
The Total number of Outcome = total number of trains that may pull over to Westford Station = 20
Therefore the experimental probability that a full train will pull over in the station is;
Therefore there is a probabilty of 4/5 or 80% that a full train will pull over the station.
Are you supposed to graph the coordinates?
Answer:
The lines intersect once at (2, −1).
A graphic solution to a system of equations is only as accurate as the scale of the paper or precision of the lines. At times the point of intersection will need to be estimated on the graph. When an exact solution is necessary, the system should be solved algebraically, either by substitution or by elimination.
Step-by-step explanation:
hope i helped
Answer:
5 of the 7 boxes are 8 inches in height
Step-by-step explanation:
Mathematically;
1 ft = 12 inches
So, 5 ft will measure 5 * 12 = 60 inches
So from what we have ,
We want to combine 8 and 10 inches to give 60 inches total
Let the number of 10 inches be x and the number of 8 inches be y
Mathematically;
x + y = 7 •••••(i)
10x + 8y = 60 ••••(ii)
From equation i, x = 7-y
Put this in equation ii
10(7-y) + 8y = 60
70-10y + 8y = 60
70-60 = 10y-8y
2y = 10
y = 10/2
y = 5
