Answer:
5 + y ≥ 7
Step-by-step explanation:
"The sum of 5 and y"
The sum of two items will be the two items added, and in this case, it is 5 and y, or
5 + y.
"Greater than or equal to 7"
Here, use the symbol, ≥, and 7.
≥ 7
Combine those to get the final equation:
5 + y ≥ 7.
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
200 centimeters. Because there are 100 centimeters in a meter. <span />
Answer:
No real
solution
Step-by-step explanation:
Firstly, let us check if we would be having a real solution
We start by rewriting the equation
We have this as;
8x^2 -25x + 24 = 0
We proceed to get the discriminant
Mathematically, we have this as;
D = b^2 - 4ac
b is the coefficient of x which is -25
a is the coefficient of x^2 which is 8
c is the last number which is 24
So we have;
D = (-25)^2 - 4(8)(24)
D = 625 - 768 = -143
Since the value of the discriminant is negative, there cannot be real roots
What we have as solution are complex roots
