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3 years ago

14

Solve the equation for the indicated variable (for q)

%20-%20r" id="TexFormula1" title="p = \frac{q}{4} - r" alt="p = \frac{q}{4} - r" align="absmiddle" class="latex-formula">

2 answers:

Salsk061 [2.6K]3 years ago

7 0

Answer:

q=4(p-r)

Step-by-step explanation:

p-r=q/4

4(p-r)=q

ryzh [129]3 years ago

6 0

answer: $4p + r = q$

work:

$p = \frac{q}{4} -r$

$p + r = \frac{q}{4}$

$4 *p+r=\frac{q}{4} *4$

$4p + r = q$

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Using the factoring process, what constant is added to the RIGHT side of the quadratic equation 2x2? 9x ___ = ?9 ___ in order to

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Normally you would only solve by completing the square if a is 1 and b is even. But the answer would be half of b. So half of 9 is 4.5 or 4(1/2).

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Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².

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Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

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so that

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so taking the derivatives of the individual functions, we get

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So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

or

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

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3 years ago

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Part B: (0,2500); It represents the profit that can be made by reducing $0 in the shirts' price.

Part C: Yes, it has a zero. Its zero is (25,0) and that represents the amount of profit made by reducing $25 from the price of each shirt being sold, which means if it sells for $0 by reducing $25 from the price of each shirt, then the x-coordinate must also represent the original price of each shirt, $25.

Step-by-step explanation:

Part A: Look at the graph! The highest y-value should be the maximum of each graph, which can be located at the vertex of a quadratic function. In this graph, the vertex is (2.5, 2531.25), where which its y-value contains the highest point of a graph, since the graph is concave down.

<u>Part B</u>

$y=a(x-2.5)^{2} +2531.25\\$

$0=a(25-2.5)^{2} +2531.25\\$

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