Answer:
infinitely many solutions
Step-by-step explanation:
Let's first eliminate y^2.
To accomplish this, divide the 2nd equation by 5, obtaining
y^2 = 5/2 - x^2. Now substitute this result for y in the first equation:
(-1/3)x^2 = -5/6 + (1/3)(5/2 - x^2), or
-x^2 -5 5 x^2
-------- = ------ + ------- - -------- and this simplifies to:
3 6 6 3
-x^2 x^2
------- = - ------- which is an identity and is thus always true.
3 3
Thus, any value of x will satisfy this equation; there are infinitely many solutions.
Combining like terms is pretty simple. First, you would identify which terms are similar to what terms. For example, you can't combine two terms that aren't similar like 2x and 3y. It would have to be 2x and 3x to combine. Next, be sure to add/multiply/subtract/divide/etc. the terms. For example, if you had the problem 2x + 4x + 3y, you would combine the "x" terms and the resultant problem would be 6x + 3y. Hope this helped :)
Answer:
a)
b)
Step-by-step explanation:
From the question we are told that
The Function
Generally the differentiation of function f(x) is mathematically solved as
Therefore
Generally critical point is given as
Generally the maximum and minimum x value for critical point is mathematically solved as
Where
Maximum value of x
Minimum value of x
Therefore interval of increase is mathematically given by
Therefore interval of decrease is mathematically given by
Generally the second differentiation of function f(x) is mathematically solved as
Generally the point of inflection is mathematically solved as
Therefore inflection points is given as
a)Generally the concave upward interval X is mathematically given as
b)Generally the concave downward interval Y is mathematically given as
The answer is 67,500 ft
Step-by-step explanation:
Answer:
$91 per ounce
Step-by-step explanation:
If 3 ounces cost $273, we can divide both sides by 3 to find the unit rate. To make this clearer, we use the variable for ounces. Then, we have the equation
.
Dividing both sides by 3, we have
.
The cost of one ounce is $91.