Answer:
x = - 1 ± i 
Step-by-step explanation:
Given
3x² = - 12 - 6x ( add 6x to both sides )
3x² + 6x = - 12 ( divide through by 3 )
x² + 2x = - 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = - 4 + 1
(x + 1)² = - 3 ( take the square root of both sides )
x + 1 = ± 
= ± i ( subtract 1 from both sides )
x = - 1 ± i
NLM-CAB would be the right answer
Rounded to one decimal place means to round to the nearest tenth (i.e. to the nearest 0.1)
4.25 (rounded to the nearest tenth) = <u><em>4.3</em></u>
Answer:
Step-by-step explanation:
As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by x=-b/(2a) where a = -34 and b = 1542:
x=-1542/(2)(-34)
x=-152/-68
x=152/68
We put this value of "x" into the original formula to find out the value of "y":
y=-34x^2+1542x-10037
y=(-34)(1542/68)^2+1542(1542/68)-10037
y= -17483.5588235 + 34967.1176471 -10037
y=7446.5588236
Therefore, the maximum profit would be $7446.56.
Hope this helps!
PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME
Given that In 3 years, Dianna will be 4 times as old as she was 33 years ago, her present age is 45.
<h3>How old is Dianna now?</h3>
Given that, in 3 years, Dianna will be 4 times as old as she was 33 years ago.
Let x represent the age of Dianna presently.
Dianna's age in 3 years time will be: x + 3
Dianna's age 33 years ago is: x - 33
Since in 3 years, she will be 4 times as old as she was 33 years ago.
x + 3 = 4( x - 33 )
We solve for x
x + 3 = 4x - 132
3 + 132 = 4x - x
135 = 3x
x = 135/3
x = 45
Given that In 3 years, Dianna will be 4 times as old as she was 33 years ago, her present age is 45.
Learn more word problems here: brainly.com/question/2610134
#SPJ1
