A polynomial expression can only be categorized into a function if and only if a single input can only have one and only output. This means that there should be no more than one dissimilar values of y for the same value of x.
Evaluating the givens above, it can be observed that there are two -1's as an x-coordinate and it has two outputs, 0 and 1. Thus, we can remove either (-1,0) or (-1,1) for the relationship to become a function.
The width of the path is 4 meters.
<h3>How to find the width of the path?</h3>
The pool is measuring 8 meters by 26 meters is surrounded by a path of uniform width.
The area of the pool and the path combined is 544 square meters.
Therefore, The dimensions of pool are 8 meters and 26 meters as it is surrounded by a path of uniform width, let the width be x meters and
the dimensions of the pool and the path combined will be
8 + 2x and 26 + 2x and as area is 544 m²
, the equation is
(8 + 2x)(26 + 2x) = 544
208 + 16x + 52x + 4x² = 544
4x² + 68x - 544 + 208 = 0
4x² + 68x - 336 = 0
4(x² + 17x - 84) = 0
x² + 17x - 84 = 0
Hence,
(x - 4)(x + 21)
Therefore,
x = 4 and x = -21
As width of path cannot be negative, it is 4 meters.
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Answer:
Step-by-step explanation:
- The tax is 8 1/2% = 8.5%
- A pair of shoes = $29.99
- A shirt = $15.99
<u>The difference in the cost:</u>
<u>Tax on the difference:</u>
The unit of measurement that is used for the water in the swimming pool is 2.3×10⁴ gallons.
<h3>What is the Units conversion?</h3>
Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm,
though the real measurement is still the same the units and numerical values have been changed.
As it is given that the volume of the pool or the amount of water that is in the pool is equal to 2.3×10⁴ units.
We know that an average swimming pool has a volume of water that is in gallons, therefore, the unit of water that will be filled in the swimming pool will be equal to 2.3×10⁴ gallons.
Hence, the unit of measurement that is used for the water in the swimming pool is 2.3×10⁴ gallons.
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Answer:
-3, 9
Step-by-step explanation:
x^2 -6x - 27=
= x^2 - 9x + 3x - 27
= x(x - 9) + 3(x - 9)
= (x + 3)(x - 9)
x = -3, x = 9