Сатре о Find the condition that the roots of the quadratic equation
ax2 + cx + C =0
may be in the ratio m:n

Step-by-step explanation:

Given

Required

Condition that the roots is in m : n

Let the roots of the equation be represented as: mA and nA

A quadratic equation has the form:

or

We have the roots to be mA and nA.

So, the sum is represented as:

And the product is represented as:

By comparing:

with

So, we have:

Make A the subject:

Substitute

Multiply both sides by a

Cross Multiply:

Hence, the condition that the ratio is in m:n is

Part A: Total cost = 10 + 4s

Part B: Solving for s = 2

10 + 4 * 2 = US$ 18

Correct statement and question:

Write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate your expression when s = 2.

Source: https://www.slader.com/discussion/question/write-an-expression-to-represent-admission-to-a/

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Admission to the zoo = US$ 10

Special exhibit cost (s) = US$ 4

2. Evaluate your expression when s = 2

Total cost = Cost of admission + (s) * Special exhibit cost

Total cost = 10 + (s) * 4

Total cost = 10 + 4s

3. Solving for s = 2

10 + 4s

10 + 4 * 2 = US$ 18