Hi there!
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Answer:
720,682.92
Step-by-step explanation:
8.5% = 0.085
P(t) = Initial Population * (1 + rate)t
P(t) = 230,000(1 + 0.085)t
P(t) = 230,000(1.085)t
P(14) = 230,000(1.085)14
P(14) = 720,682.82
She added the check fee instead of subtracting it
Answer:
Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.
Solve System of Linear Equation:
3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21
Steps:
[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]
Isolate x for 3x - 6y = -8: x = -8 + 6y / 3
3x - 6y = -8
Add 6y both sides:
3x - 6y + 6y = -8 + 6y
Simplify:
3x = - 8 + 6y
Divide Both sides by 3:
3x / x = -8 / 3 + 6y / 3
Simplify:
x = -8 + 6y / 3
Substitute:
x = -8 + 6y / 3
[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]
Isolate:
-1 / 4 -8 + 6y / 3 + 4y = 6
y = 32 / 21
For x = -8 + 6y / 3
Substitute:
y = 32 / 21
x = -8 + 6 / 3 * 32 / 21
-8 + 6 / 3 * 32 / 21
x = 8 / 21
The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21
Hope that helps!!! : )
Step-by-step explanation:
Answer:
3x(2)+5y(2)
Step-by-step explanation:
dritributive is were you give out something to the rest of the problem
ex) 3(4+7) --> (12+21)
3x(2)+5y(2) --> you distribute the 3x to the 2 and 5y to the 2
