Answer:
Step-by-step explanation:
<u>Exponential function is:</u>
<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>
<u>Find the value of b:</u>
- b¹⁰ = 675647/617594
- b¹⁰ = 1.09399864636
- b = 1.09399864636^(1/10)
- b = 1.009 (rounded)
<u>The equation we got is:</u>
Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.
Let
x--------> <span>represents the length of a single tile
L-------> t</span><span>he length of the floor
W------> the</span><span> width of the floor
A--------> </span>area of a tiled kitchen floor
<span>
we know that
A=W*L
A=</span>4x²<span> + 24x + 27
</span>so
W*L=4x² + 24x + 27---------> equation 1
L=2x+9------> equation 2
substitute equation 2 in equation 1
W*[2x+9]=4x² + 24x + 27
W=[4x² + 24x + 27]/[2x+9]
therefore
the answer is
the <span>expression that represents the width of the kitchen in terms of x is
</span>W=[4x² + 24x + 27]/[2x+9]
the degree of the polynomial is 2 because it is the power of the largest exponent
<span>2<span>(<span>y−<span>3<span>(<span>y−5</span>)</span></span></span>)</span></span><span>=<span><span>(2)</span><span>(<span>y+<span><span>−<span>3y</span></span>+15</span></span>)</span></span></span><span>=<span><span><span>(2)</span><span>(y)</span></span>+<span><span>(2)</span><span>(<span><span>−<span>3y</span></span>+15</span>)</span></span></span></span><span>=<span><span><span>2y</span>−<span>6y</span></span>+30</span></span><span>=<span><span>−<span>4y</span></span>+<span>30</span></span></span>
