First, write the equation:
3(a+1.5) = -1.5
Next, you can distribute 3 into the parentheses by multiplying 3 by a and 1.5. It should look like this:
3a + 4.5 = -1.5
When trying to find the value of a variable, you want to get the variable to one side of the equation by itself. Subtract 4.5 from both sides of the equation to get:
3a = -6
Now, divide both sides by 3 to get your final answer:
a= -2
The value that makes the equation true is -2
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T=-1
sinA=sin(π/2-3A), A=2nπ+π/2-3A, 4A=2nπ+π/2, A=nπ/2+π/8 where n is an integer.
Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.
The hard way:
cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.
Let s=sinA and c=cosA, then s²+c²=1.
cos3A=(2c²-1)c-2c(1-c²)=c(4c²-3).
s=c(4c²-3) is the original equation.
Let t=tanA=s/c, then c²=1/(1+t²).
t=4c²-3=4/(1+t²)-3=(4-3-3t²)/(1+t²)=(1-3t²)/(1+t²).
So t+t³=1-3t², t³+3t²+t-1=0=(t+1)(t²+2t-1).
So t=-1 is a solution.
t²+2t-1=0 is a solution, t²+2t+1-1-1=0=(t+1)²-2, so t=-1+√2 and t=-1-√2 are solutions.
Therefore tanA=-1, -1+√2, -1-√2 are the three solutions from which:
A=-π/4, π/8, -3π/8 radians and these values +2πn where n is an integer.
Replacing π by 180° converts the solutions to degrees.
Answer:
-3.952
Step-by-step explanation:
just remember when adding two negatives, the result will be negative
Graph the rationale functions f(x)x2+3X-1/x+1 by identifying its key features.
