Answer
56,000
Step-by-step explanation:
For this case we have the following system of inequalities:
We must verify if the point is a system solution
Inequality 1:
Inequality is not met!
Thus, the given point is not a system solution.
Answer:
The point is not a system solution.
You haven't listed the possible solutions, so in the immediate present I can help only by suggesting that you try solving this system and checking your own answers thru subst. into the given equations.
Please be sure to use "^" to indicate exponentiation, as shown below:
<span>4x2 + 9y2 = 72 should be 4x^2 + 9y^2 = 72 (this is the eq'n of an ellipse)
x - y2 = -1 should be x - y^2 = -1 (this is the equation of a parabola)
We must eliminate either x or y. I will solve the 2nd equation for y^2 and subst. the result into the first eq'n.:
y^2 = x+1. Subst. this into the first equation,
</span>4x^2 + 9y^2 = 72 becomes 4x^2 + 9(x+1) = 72.
Expanding, 4x^2 + 9x + 9 = 72, or 4x^2 + 9x - 63 = 0
We must solve this quadratic equation to obtain the x-coordinates of possible solutions of the original system of equations.
-9 plus or minus 33
After some work, we get x = ------------------------------
8
So x = 24/8 = 3, or x = -42/8 = -5 1/4 or -21/4
Check out x=3. We already have the relationship y^2 = x+1. If x = 3, then y^2 = 3+1 = 4, and y is plus or minus 2.
Two possible solutions of the original set of equations are thus (3,2) and (3,-2). You MUST check both solutions thru substitution to determine whether they satisfy the original equations or not.
Answer:
Yes, the table shows a proportional relationship
The value of y when x is 11 is 1331
Step-by-step explanation:
Let us check the relation between x and y in the table
∵ x = 4 and y = 64
∵ 64 = 4³
∴ y = x³
∵ x = 5 and y = 125
∵ 125 = 5³
∴ y = x³
∵ x = 6 and y = 216
∵ 216 = 6³
∴ y = x³
∵ x = 10 and y = 1000
∵ 1000 = 10³
∴ y = x³
∵ All the values on the table give the same relation
∴ x and y are proportion
∴ The table shows a proportional relationship
∵ y = x³
∵ x = 11
∴ y = (11)³
∴ y = 1331
∴ The value of y when x is 11 is 1331