The national catch of Atlantic Cod has been declining in the past few decades. We can model this decline with the equation y = −.003x2 + .120x + 1.909 where x is the number of years since 1950 and y is the catch in millions of metric tons. In which year did the catch reach its maximum? In which year will the catch reach 0? For what years was the catch increasing? Decreasing? When was the catch greater than 2.5 million metric tons? Show all of your work or explain how you came up with your solutions.
Answers
Standard form of a parabola is y = ax² + bx + c. The x coordinate of the vertex can be found with -b/2a.
-.120/(2 × -.003) + 20
So the max is at 1950 + 20 because x is years after 1950. Which is 1970.
To find when y will be 0, use the quadratic equation x = [-b +/- √(a² - 4ac)]/2a. +/- means plus or minus because I can't type the actual symbol.
x = [-.120 +/- √(-.003² - 4(-.003)(1.909))]/2(-.003) Plug in info
x = [-.120 +/- √(.000009 - 4(-.005727))]/-.006
x = [-.120 +/- √(.000009 + .022908)]/-.006
x = [-.120 +/- √(.022917)]/-.006
x=-.120/-.006 +/- √(.022917)/-.006
x = 20 +/- .15138361866/-.006
x = 20 +/- -25.2306031108
Because it is plus or minus you split it and do both.
x = 20 - -25.2306031108 x = 20 + -25.2306031108
x = 45.2306031108 x = -5.23060311077
so y is 0 when x is 45.2306031108 because there is no such thing as negative time so it can't be the other one. So the answer is 1995 because you add 45 to 1950.
Since the max is at 1970, it is increasing from 1950 to 1975 and decreasing from 1975 to 1995.
Sorry I took so long, I had to look up how to do it because I couldn't remember.
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10 square feet
12 square feet
18 square feet
36 square feet
Answers
Plug in what we know:
Multiply:
Before today over . Someone help me
Answers
Answer:
The answer is 49
Step-by-step explanation:
PLEASE MARK AS BRAINLIEST
HELPING ON OTHER OF YOUR PROBLEMS
Answers
Divide 15 by 45 to get a decimal:
Change the decimal into a percentage by multiplying the decimal by 100:
suspensions different from solutions?
Answers
Step-by-step explanation:
Solutions, colloids and suspensions are the three main classifications of a mixture based on sizes of the particles.
- A solution is a homogeneous mixture of solutes and solvents.
- Suspensions are mixtures of small insoluble particles of a solid in a liquid or gas.
- Colloids are homogeneous mixtures of two phases.
Solutions have the following characteristics:
- The size of particles is small
- The particles do not settle on standing.
- The particles pass through ordinary filter papers.
- They are clear and do not have color.
- They do not scatter light
Suspensions have the following properties:
- The particles dispersed are large
- They settle on standing.
- The particles do not pass through ordinary filter papers
- They do not pass through permeable membrane
- They are visible with microscope or naked eyes.
- They are cloudy
- Scatters light.
Colloids have the following properties:
- Their particles are between those in solutions and suspensions.
- Their particles do not settle on standing.
- Their particles pass through ordinary filter paper.
- They do not pass through permeable membranes.
- Scatters light
Learn more:
Mixtures brainly.com/question/4592300
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a.) Using the graph,what is the solution to this system?
b.) Solve the system algebraically to confirm your answer to part (a).
Answers
a.) By using the graph, the solution to this system is (3, 5).
b.) Solving the system algebraically gives the same answer in part (a).
How to graphically solve this system of equations?
In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;
y=x+2 ......equation 1.
y=2x-1 ......equation 2.
Part a.
Based on the graph shown, we can logically deduce that the solution for this system is represented by the ordered pair (3, 5) in quadrant I.
Part b.
By using the substitution method to substitute for y, we would set the two equations equal to one another;
x + 2 = 2x - 1
2x - x = 1 + 2
x = 3
y = x + 2
y = 3 + 2
y = 5.
Read more on solution and equation here: brainly.com/question/25976025
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2 10
4 9
6 8
8 7
Which equation best represents the relationship?
y = 1 over 2 x + 11
y = negative 1 over 2x + 11
y = 2x + 10
y = 2x + 11
Answers
(x₁,y₁) = (2,10) and (x₂,y₂) = (4,9)
Now,(y₂-y₁) = m(x₂-x₁)
(9-10) = m(4-2)
2m = -1
m = -1/2
Now, take any one point for calculation of b in equation;
10 = -1/2(2) + b
b = 10 + 1
b = 11
So, Equation of the line would be: y = -1/2x + 11
In short, Your Answer would be Option B
Hope this helps!
Answer:
In short, Your Answer would be Option B
Step-by-step explanation: