The derivative is constant. It's equal 5 for any argument.
1.
The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So, 2x + 3y = 4 (1)
12x + 3y = 1 (2)
We multiply equation (1) by 2
So, 2x + 3y = 4 (1) × 2
⇒4x + 6y = 8 (3)
Replacing (1) by (3), we have
4x + 6y = 8 (3)
12x + 3y = 1 (2)
So, the <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1.
2.
The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20
To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.
So,
x - 7y = 8 (1)
5x + 4y = 20 (2)
We multiply equation (1) by 3, we have
So, x - 7y = 8 (1) × 3
⇒3x - 21y = 24 (3)
Replacing (1) by (3), we have
3x - 21y = 24 (3)
5x + 4y = 20 (2)
So, the <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.
Learn more about equivalent equations here:
brainly.com/question/2972832
Answer:
11 m by 18 m
Step-by-step explanation:
The area is the product of two adjacent sides of a rectangle. The perimeter is twice the sum of two adjacent sides, so that sum is (58 m)/2 = 29 m.
We want to find two factors of 198 that sum to 29.
198 = 1·198 = 2·99 = 3·66 = 6·33 = 9·22 = 11·18
Of these factor pairs, only the last one has a sum of 29.
The dimensions of the pool are 11 meter by 18 meters.