Which graph shows the solution to the system of linear inequalities?
1 answer:
Since the graph was not given, answer will be subjective. The graph that shows the solution to the system of linear inequalities of 2x – 3y <12 y < –3 is the one that has It is option B.
<h3>What is linear inequalities?</h3>A linear inequality is said to be a kind of an inequality that entails a linear function.
Note that a linear inequality is said to be made up of one of the symbols that connote inequality. It is the one that depicts the data that is not equal on a graph.
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The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.
<h3>What are the exponent and power rules?</h3>The important exponent and power rules are:
- a⁻ⁿ = 1/aⁿ; negative exponent
- (ab)ⁿ = aⁿ × bⁿ; power of a product rule
- aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
- aⁿ/aˣ = aⁿ⁻ˣ; division rule
; fractional exponent
The given expression is
Using calculator: = 0.0265
Applying the exponent rule for evaluating the given expression:
Applying the negative power rule;
I.e., a⁻ⁿ = 1/aⁿ
⇒
Applying fractional exponent rule;
I.e.,
⇒
⇒ 1/
⇒ 1/37.6077
⇒ 0.0265
Therefore, the value of the given expression is 0.0265.
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The circumference of the pool is 26.38 meters
<h3>How to determine the circumference?</h3>The radius, r is given as:
r = 4.2
The circumference, C is calculated using:
This gives
C =2 * 3.14 * 4.2
Evaluate
C = 26.38
Hence, the circumference of the pool is 26.38 meters
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