Answer:
<em>The shortest side of the fence can have a maximum length of 80 feet</em>
Step-by-step explanation:
<u>Inequalities</u>
To solve the problem, we use the following variables:
x=length of the longer side
y=length of the sorter side
The perimeter of a rectangle is calculated as:
P = 2x + 2y
The perimeter of the fence must be no larger than 500 feet. This condition can be written as:
The second condition states the longer side of the fence must be 10 feet more than twice the length of the shorter side.
This can be expressed as:
x = 10 + 2y
Substituting into the inequality:
This is the inequality needed to determine the maximum length of the shorter side of the fence.
Operating:
Simplifying:
Subtracting 20:
Solving:
The shortest side of the fence can have a maximum length of 80 feet
Answer: x = (1,9]
Step-by-step explanation: If x is all real numbers greater than 1 (simply: x is greater but not equal to 1) then it is 1 < x. And if x is less than or equal to 9 then its x ≤ 9. To translate 1 < x ≤ 9 into interval notation, you need to keep in mind that parentheses are for these symbols: <>. And brackets are for these symbols: ≤≥. With that in mind, your answer is (1,9]. Also, keep in mind that interval notation goes from lowest value number to highest, so you wouldn’t write this notation as [9,1).
Answer:
algebra?x9b4
Step-by-step explanation:
Answer:
A) -15, 5, 2
Step-by-step explanation:
The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.
<h3>What is a quadratic equation?</h3>
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have
The equation is given below.
x² – 8x + 16 = 9 + 16
Then the equation can be written as
(x – 4)² = 25
x – 4 = ±5
x = 4 ± 5
x = -1, 9
More about the quadratic equation link is given below.
brainly.com/question/2263981
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