Answer:
Step-by-step explanation:
y = -12x - 1
y = 14x - 4
-12x - 1 = 14x - 4
-1 + 4 = 14x + 12x
3 = 26x
3/26 = x
y = 14x - 4
y = 14(3/26) - 4
y = 42/26 - 4
y = 42/26 - 104/26
y = - 62/26 reduces to - 31/13
solution : x = 3/26 and y = -31/13 or (3/26,-31/13)
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
<span>In 3 years, you will have $8,103.38
Formula:
</span>
<span>A = P (1 + r/n)<span> ^(nt)</span></span>
Where:
A = the future value of the investment/loan, including interest
P = the principal investment amount (the initial deposit or loan amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested or borrowed for
Given:
System of equations is
To find:
A value of M that will give you a system of equations with exactly one solution.
Solution:
A system of equation has exactly one solution if the graph of the equation is neither parallel nor coincident.
Slope of parallel lines are same. But in the given equations if slopes are same then both the system of equations have two same equations which represent coincident lines.
For one solution, 
.
So, the value of m can be any real number except 6 because for m=6.
Thus, 
.
1 is a real number which is not equal to 6.
Therefore, one possible value of m is 1.
Here is a hint: 10 * 32 = 320 oz. Convert 320 oz into pounds. :)
