Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
Step-by-step explanation:
Given
f(x) = 2x
f(3) = 2 * 3 = 6
Hope it will help):)
Answer:
DE = 81
Step-by-step explanation:
The sides of a rhombus are congruent , thus
9z = z + 72 ( subtract z from both sides )
8z = 72 ( divide both sides by 8 )
z = 9
Then
BC = 9z = 9 × 9 = 81
Since the sides are congruent, then DE = 81
Answer:
Step-by-step explanation:
concentration = amount of salt/solution
A) Initial concentration= 90/1000 = 0.09
Q = quantity of salt
Q(0) = 90 kg
Inflow rate = 8 l/min
Outflow rate = 8 l/min
Solution = 1000 L at any time t.
Salt inflow = 0.045 * 8 per minute
= 0.36 kg per minute
This is mixed and drains from the tank.
Outflow = 
Thus rate of change of salt
Q'(t) = inflow - outflow = 
Separate the variables and integrate

Use the fact that Q(0) = 90
90 = 360-A
A = 270
So

B) Q(t) = 360-270e^-0.004 = 91.07784
C) When t approaches infinity, we get
Q(t) tends to 360
So concentration =360/1000 = 0.36
1st side = x
2nd side = 2x
3rd side is x-5
so x +2x + x-5 = 31
answer is A