Hi there!
f(x) = 2x + 6
Differentiating 2x = 2 (Power rule, dy/dx xⁿ = nxⁿ⁻¹)
Differentiating a constant always equals 0.
Thus:
f'(x) = 2
we have
x=5−2y ---> multiply by 3 both sides-----> 3x=15-6y-----> 6y=15-3x----> equation 1
6y=10−3x------> equation 2
equation 1 and equation 2 has the same slope
the lines are parallel
slope m=-3/6-----> m=-1/2
so
there are no solution
the answer is the option
b. There is no solution
We know, 1 year = 12 month.
So, 3 month = 3/12 = 0.25 year.
Now, principle amount, P = $400 .
Rate is, r = 8% = 0.08
Time period, t = 0.25 year.
Now, Interest is given by :
I = P × r × t
I = $( 400 × 0.08 × 0.25 )
I = $8
Therefore, she will pay $8 interest in total.
Answer:
125 Dolphins
Step-by-step explanation:
The number of dolphins varied linearly with the number of fish.
The number of dolphins = D
The number of fish = F
Hence:
D ∝ F
D = kF
When 400 fish were present 250 dolphins appeared
Solving for k
250 = 400k...... Equation 1
Also
when 300 fish were present, 200 dolphins appeared.
200 = 300k...... Equation 2
So: we find k = Constant of Proportionality
250 = 400k...... Equation 1
200 = 300k...... Equation 2
We Subtract Equation 2 from Equation 1
50 = 100k
k = 50/100
k = 1/2
How many dolphins would appear if 250 fish were present?
D = kF
D = 1/2 × 250
D = 125 Dolphins
Answer:
3m=9np
Step-by-step explanation:
3m-2-5np
+4 +4
3m=9np
9-2=?
-2
x-7
