Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
To solve this, let's use the variable 'x' to represent the money invested:
11(0.026(x)) = 6500
0.286x = 6500
Divide:
x = 227272.7272...
We can round up:
x = 227272.73
June has to invest $227272.73
18 slices that are half’s
1/2*18= 9
meaning there are 9 whole slices
No, Marina does not have more since Samuel has the whole pie.
X^2 and 5x both have x in common to factor out. To add or subtract them, 5x^2 is the least common denominator .
Answer:15x
Step-by-step explanation:you add 12 + 3 which equals 15 and then you just carry the x over