Irrational because square root of 15 is irrational
To expand a polynomial, multiply its factors by using the distributive property and then combine all like terms.
<h3>How to illustrate the information?</h3>
It should be noted that a polynomial is an expression which is composed of variables, constants and exponents, which are combined using the mathematical operations such as addition, subtraction, multiplication and division
A polynomial is expanded if there's no variable appears within parentheses and all like terms have been combined.
To expand a polynomial, multiply its factors by using the distributive property or perform the indicated operations. Then combine all like terms.
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9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
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1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
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3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
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5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Sound quality test = every fifth siren
Mechanical quality = every 8th siren
Daily output = 350 siren
Percentage tested for mechanical quality :
Number of siren tested for mechanical quality / total output
Number of siren tested for mechanical quality = (350 / 8) = 43. 75
= 43 sirens
% tested for mechanical quality :
(43 / 350) * 100%
0.12285 × 100%
= 12.29%
What percent is tested for both types of quality at the same time?
Number tested for both types simultaneously = 8
% tested for both types of quality :
(8 / 350) * 100%
0.0228571 × 100%
= 2.28571%
= 2.29%