Answer:
x = -3 + , -3 -
Step-by-step explanation:
Step 1: Isolate <em>x</em>'s
2x² + 12x = 7
Step 2: Factor
2(x² + 6x) = 7
x² + 6x = 7/2
Step 3: Complete the Square
x² + 6x + 9 = 7/2 + 9
(x + 3)² = 25/2
Step 4: Solve for <em>x</em>
√(x + 3)² = √25/2
x + 3 = 5√2/2
x = -3 ± 5√2/2
Answer:
See below.
Step-by-step explanation:
In comments, you said you wanted it graphed.
If it says f(x) on the left side, the equation should have an 'x' on the right side, so something is fishy here.
But, in an effort to try and help you ....
With the data you have given, I would graph it just like y = 150 (1.3)^x
You can pick various values for x, like -3,-2,-1,0,1,2,3 and see what y is for each one, then plot the points on graph paper.
If x = 0, y= 150(1.3)^0 = 150(1) = 150 because anything to power zero is 1
If x = -1, y= 150(1.3)^(-1) = 150(1/1.3) ≈ 132.7
If x = +1, y= 150(1.3)^(1) = 150(1.3) = 195
And so on.
I did the graph on DESMOS and it has a very large scale.
