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Anna007 [38]
3 years ago
11

Write "P (x) = -36x^2 + 900x - 1584" in standard vertex form, help please!

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0

Answer:

y = a(x – h)2 + k, where (h, k) is the vertex;

in our case, P(x) = a Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ =  4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;

Kazeer [188]3 years ago
7 0
<span>y = a(x – h)2 + k</span><span>, where </span><span>(h, k)</span><span> is the vertex;

in our case, P(x) = a</span>(x + b/2a)^{2} - Δ/4a ;

a = -36; b = 900; c = -1584;

b/2a = 900/-72 = -12.5;

Δ = b^{2} - 4ac = 810000 - 144*1584 = 581904 => -Δ/4a = 4041;

P(x) = (-36)(x - 12.5)^2 + 4041, where (12.5 , 4041) is the vertex;


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GrogVix [38]

Answer: 17.4\ \text{miles}

Step-by-step explanation:

Given

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\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}

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Select the correct location on the table. Consider the following equations. f(x)= (x^2+3x+2)/(x+8) and g(x)= (x-1)/x. Approximat
zhannawk [14.2K]

Answer:

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Step-by-step explanation:

We assume you're using a binary search successive approximation technique that starts with an interval and cuts it in half with each iteration. The final approximation of the solution to the equation will be the midpoint of the interval after it has been cut in half 3 times.

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If we define h(x) = f(x) -g(x), then our first iteration will evaluate h(-7/2) and determine which end of the interval gets replaced. The attachment shows us that the sign of h(-7/2) is the same as the sign of h(-3), so -7/2 replaces -3 and the interval after the first iteration is [-4, -7/2].

The midpoint of this interval is -15/4. The sign of h(-15/4) is the same as the sign of h(-7/2), so the interval after the second iteration is [-4, -15/4].

The midpoint of this interval is -31/8. The sign of h(-31/8) is the same as the sign of h(-4), so the interval containing the solution after the third iteration is [-31/8, -15/4]. The approximate solution value after 3 iterations is (-31/8 -15/4)/2 = -61/16.

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Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

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y ----> the  total practice time for the year in hours

we know that

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Answer:

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