12 = 1.5x Solve each equation algebraically
2 answers:
Answer:
35
Step-by-step explanation:
I am assuming you want me to answer the equation provided in the picture, therefore I will provide you with the answer.
So we have = 21
When it comes to equations with a variable, our goal is to isolate the variable, so let's start.
= 21
1. Combine multiplied terms into a single fraction :
= 21
2. Multiply both sides by the denominator :
5 * 3/5 = 3
5 * 21 = 105
3x = 105
3. Divide both sides by 3 :
x = 35
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Answer:
look below
Step-by-step explanation:
y = 2 (x + 3)^2 - 2
Geometric figure: parabola
Alternate forms:
y = 2 (x + 2) (x + 4)
y = 2 (x^2 + 6 x + 8)
-2 x^2 - 12 x + y - 16 = 0
Expanded form:
y = 2 x^2 + 12 x + 16
Roots:
x = -4
x = -2
<u>Properties as a real function: </u>
Domain - R (all real numbers)
Range - {y element R : y>=-2}
Partial derivatives:
d/dx(2 (x + 3)^2 - 2) = 4 (x + 3)
d/dy(2 (x + 3)^2 - 2) = 0
Implicit derivatives:
(dx(y))/(dy) = 1/(12 + 4 x)
(dy(x))/(dx) = 4 (3 + x)
Global minimum:
min{2 (x + 3)^2 - 2} = -2 at x = -3
Answer:
See picture below.
Step-by-step explanation:
