3(5+4b)?? Simply the expression

Mathematics

2 answers:

svlad2 [7]3 years ago

8 0

3(5+4b)
3×5=15+3×4=12b=
15+12b

rodikova [14]3 years ago

3 0

Times The 3 To The 5 & The 4b --> 15 + 12b

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

kenny6666 [7]

Given:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation

$y=-29x^2+1388x-10040$

To find:

The maximum amount of profit the company can make, to the nearest dollar.

Solution:

If a quadratic equation is $f(x)=ax^2+bx+c$ , then the vertex is

$Vertex=\left(-\dfrac{b}{2a},f(-\dfrac{b}{2a})\right)$

If a>0, then vertex is the minimum point and if a<0, then the vertex is the maximum point.

We have,

$y=-29x^2+1388x-10040$

Here, $a=-29,b=1388, c=-10040$ . Clearly, a<0. So, the vertex is the point of maxima.

$-\dfrac{b}{2a}=-\dfrac{1388}{2(-29)}$

$-\dfrac{b}{2a}=-\dfrac{1388}{-58}$

$-\dfrac{b}{2a}\approx 23.931$

Putting x=23.931 in the given equation, we get

$y=-29(23.931)^2+1388(23.931)-10040$

$y=-16608.09+33216.228-10040$

$y=6568.138$

The vertex is at (23.931,6568.138).

Therefore, the maximum profit is $6568.138 when x=23.931.

5 0

3 years ago

?????????????????????

valentinak56 [21]

Step-by-step explanation:

$\huge \: 2 \sqrt{x} .4 {x}^{ - \frac{5}{2} } \\ \\ \huge \: = 2.4 {x}^{ \frac{1}{2} } . {x}^{ - \frac{5}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{1}{2} - \frac{5}{2} } \\ \\ \huge \: = 8 {x}^{ \frac{1 - 5}{2} } \\ \\ \huge \: = 8 {x}^{ - \frac{4}{2} } \\ \\ \huge \: = 8. {x}^{ - 2} \\$