Answer:
For a = 1.22 there is one solution where y = 1.3
Step-by-step explanation:
Hi there!
Let´s write the system of equations:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
-1.2(x-0.5) = 0
Let´s solve the second equation for x:
-1.2(x-0.5) = 0
x- 0.5 = 0
x = 0.5
Now let´s repalce x = 0.5 and y = 1.3 in the first equation and solve it for a:
a(0.3 - y) + 1.1 +2.4x(y-1.2) = 0
a(0.3 - 1.3) + 1.1 + 2.4(0.5)(1.3 -1.2) = 0
a(-1) + 1.1 + 1.2(0.1) = 0
-a + 1.22 = 0
-a = -1.22
a = 1.22
Let´s check the solution and solve the system of equations with a = 1.22. Let´s solve the first equation for y:
1.22(0.3 - y) + 1.1 +2.4(0.5)(y-1.2) = 0
0.366 - 1.22y + 1.1 + 1.2 y - 1.44 = 0
-0.02y +0.026 = 0
-0.02y = -0.026
y = -0.026 / -0.02
y = 1.3
Then, the answer is correct.
Have a nice day!
We can apply Quadratic equations in real-world like; sports, bridges, projectile motion, shapes of bananas etc.
Following are three pictures of real world application of quadratics.
Example 1:- Here we can see a Cyclist follows a quadratic path to jump over the obstacles.
Example 2:- Here we see a man throwing a basketball towards the net following a slightly upward direction that goes through a quadratic path.
Example 3:- Here a football player kicks the ball in the sky and it goes through a quadratic path to cover some distance.
Answer:
See below
Step-by-step explanation:
A) The population of the poll is the United States Population EXCLUDING New England States. In other words, the population is all USA population except the New England population. Remember that population is all the set of individuals from where you extract your sample. The sample are those 2,700 adults interviewed.
B) The sampling used is, as said in the statement, a randome sampling.
C) Yes! There could be a bias because of the exclusion of New England States if the people who lives there tends to have more guns than the average american population. This could be, for example, due to that those states have the least gun owning in America or, contrary, if they have the highest. If Rode Island is the most violent state and has the highest gun owning rate, the results could be biased. However, we can't confirm it without seeing the data, but there is possible.
The syntax for the IF statement is as follows:
=IF(condition, value if true, value if false)
therefore, we can enter the information from the problem:
=IF($B$9>=470000,35000,1000)
