Answer:
B. Exactly one solution
Step-by-step explanation:
You can add (4x -8) to both sides:
5x +8 -7x +(4x -8) = -4x +1 +(4x -8)
Collect terms
2x = -7
x = -7/2 . . . . . divide by 2. One solution.
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As soon as you determine that the x-coefficients on the left and right are different, you know there is exactly one solution.
On the left, the coefficient of x is 5-7 = -2; on the right it is -4.
The answer is 6.
Let's first simplify the expression:
3 · 2x = 6x
Now, the coefficient (k) is a number that stands right before x:
kx
Let's see what is the coefficient:
kx = 6x
So, k = 6
Answer:
<em>π/2 and π/3</em>
Step-by-step explanation:
Given the equation 2cos²x - cosx = 0, to find the solution to the equation, we will follow the following step.
let P = cosx
The equation becomes 2P²-P = 0
P(2P-1) = 0
P = 0 and 2P-1 = 0
P= 0 and P = 1/2
Since P = cosx
cosx = 0 and cos(x) = 1/2
If cos(x) = 0
x = cos⁻¹0
x = 90⁰
x = π/2
If cos(x) = 1/2
x = cos⁻¹1/2
x = 60⁰
x = π/3
<em>Hence the solutions to the equation are π/2 and π/3.</em>
20 and 24 are the answers
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