The first number is 170
The second number is 171
Step-by-step explanation:
Let the first number be x^3 and the second number be x^3+1
The sum of the two is 341
X^3+x^3+1=341
2x^3+1=341
Substrate 1 from both sides
2x^3=341-1
Answer:
<u>The expression is 6v² + 6v - 120</u>
Step-by-step explanation:
v = Car's speed
Let's write the expression for 6 times the square of a car's speed plus 6 times the car's speed minus 120, this way:
6v² = 6 times the square of a car's speed
6v - 120 = 6 times the car's speed minus 120
Now, let's add the operator (+):
6v² (6 times the square of a car's speed) + 6v - 120 (6 times the car's speed minus 120)
<u>The expression is 6v² + 6v - 120</u>
Answer:
58 at the point (9,8)
7 at the point (1, 1)
Step-by-step explanation:
The maximum points will be found in the vertices of the region.
Therefore the first step to solve the problem is to identify through the graph, the vertices of the figure.
The vertices found are:
(1, 10)
(1, 1)
(9, 5)
(9, 8)
We look for the values of x and y belonging to the region, which maximize the objective function
. Therefore we look for the vertices with the values of x and y higher.
(1, 10), (9, 5), (9, 8)
Now we substitute these points in the objective function and select the one that produces the highest value for f (x, y)

The point that maximizes the function is:
with 
Then the value that produces the minimum of f(x, y) is (1, 1)
