Answer:
x=−2 and y=−1
Step-by-step explanation:
<u>Problem:</u>
Solve y=x2;y=−x−3
<u>Steps:</u>
I will solve your system by substitution.
y=1/2x;y=−x−3
Step: Solve y= 1/2x for y:
Step: Substitute 1/2 x for y in y=−x−3:
y=−x−3
1/2x= =−x−3
1/2x+x=−x−3+x(Add x to both sides)
3/2x = -3
3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)
x=−2
Step: Substitute −2 for x in y=1/2x:
y=1/2x
y=1/2(-2)
y=−1(Simplify both sides of the equation)
<u>Answer:</u>
x=−2 and y=−1
Answer:

Step-by-step explanation:
Given

Required
Determine a homogeneous linear differential equation
Rewrite the expression as:

Where
and 
For a homogeneous linear differential equation, the repeated value m is given as:

Substitute values for
and 


Add 1 to both sides


Square both sides



In complex numbers:

So, the expression becomes:

Add 1 to both sides


This corresponds to the homogeneous linear differential equation

Answer:
microalgae required less space.
Step-by-step explanation:
Amount of oil to be produced = 1,000 gallons
Now,
We know
10,000 gallons of oil is extracted from the miroalgae per acre per year
and,
From soyabeans the oil extracted = 50 gallons per acre per year
therefore,
To produce 1,000 gallons number of acres required by microalgae
= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from microalgae]
= 1,000 ÷ 10,000
= 0.1 acres
similarly
To produce 1,000 gallons number of acres required by soyabeans
= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from soyabeans]
= 1,000 ÷ 50
= 20 acres
hence,
microalgae required less space.
Answer:
d.
Please give me brainliest, if you need an explanation I'll give
Step-by-step explanation:
Answer:
B = (-5, 4)
B' = (-5+3, 4-2) = (-2, 2)