<img src="https://tex.z-dn.net/?f=%20%28-%20%20%5Cfrac%7B%20%7B1%7D%5E%7B2%7D%20%7D%7B3%7D%20%29%20%2B%20%20%5Cfrac%7B5%7D%7B6%7

All categories

3 years ago

D%20%28%20-%20%20%5Cfrac%7B1%7D%7B2%7D%20%29" id="TexFormula1" title=" (- \frac{ {1}^{2} }{3} ) + \frac{5}{6} ( - \frac{1}{2} )" alt=" (- \frac{ {1}^{2} }{3} ) + \frac{5}{6} ( - \frac{1}{2} )" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

coldgirl [10]3 years ago

5 0

Answer:

$-\frac{3}{4}$

Step-by-step explanation:

$(-\frac{1^{2}}{3}})+\frac{5}{6}(-\frac{1}{2}) =-\frac{1}{3} -\frac{5}{12} =-\frac{3}{4}$

You might be interested in

If P(x) = 8x and R(x) = 9x -8, find P(x) • R(x).

Airida [17]

Answer:

Given

P( x) = 8x

R ( x) = 9x - 8

Step-by-step explanation:

P(x) . R ( x) 

= 8x ( 9x - 8 )

= 72x^2 - 64x

8 0

2 years ago

Help please I don’t get may I please have help with this

Veronika [31]

Answer:

$1)\:2\frac{2}{3} ft$

$2)\:4$

$3)\:\frac{20}{3} ft^{2}$

$4)\:10\frac{2}{3} ft^{2}$

------------------------

hope it helps...

have a great day!!

5 0

2 years ago

The revenue function for a sporting goods company is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x)=4

Zina [86]

The maximum revenue generated is $160000.

Given that, the revenue function for a sporting goods company is given by R(x) = x⋅p(x) dollars where x is the number of units sold and p(x) = 400−0.25x is the unit price. And we have to find the maximum revenue. Let's proceed to solve this question.

R(x) = x⋅p(x)

And, p(x) = 400−0.25x

Put the value of p(x) in R(x), we get

R(x) = x(400−0.25x)

R(x) = 400x - 0.25x²

This is the equation for a parabola. The maximum can be found at the vertex of the parabola using the formula:

x = -b/2a from the parabolic equation ax²+bx+c where a = -0.25, b = 400 for this case.

Now, calculating the value of x, we get

x = -(400)/2×-0.25

x = 400/0.5

x = 4000/5

x = 800

The value of x comes out to be 800. Now, we will be calculating the revenue at x = 800 and it will be the maximum one.

R(800) = 400x - 0.25x²

= 400×800 - 0.25(800)²

= 320000 - 160000

= 160000

Therefore, the maximum revenue generated is $160000.

Hence, $160000 is the required answer.

Learn more in depth about revenue function problems at brainly.com/question/25623677

#SPJ1

5 0

1 year ago

What is an equation of the line that contains the point (3 -1) and is perpendicular to the line whose equation is y=-3x+2?

Svetach [21]

The slope of a perpendicular line is the opposite reciprocal of the original slope. So the slope is 1/3.
Answer: y = x/3 - 2

Work in attached picture.

3 0

3 years ago

Which graph represents the piecewise-defined function?

kifflom [539]

Answer: The first option is correct.

Explanation:

The given piecewise function is,

$y=\begin{cases}-\frac{4}{5}x-3 & \text{ if } x$

From the piecewise function we can say that if x<0, then

$f(x)=-\frac{4}{5}x-3$

If $x\geq2$ , then

$f(x)=3x-10$

Since the f(x) is defined for x<0 and $x\geq2$ , therefore the function f(x) is not defined for $0\leq x$ .

In the graph 2, 3 and 4 for each value of x there exist a unique value of y, therefore the function is defined for all values of x, which is not true according to the given piecewise function.

Only in figure the value of y not exist when x lies between 0 to 2, including 0. It means the function is not defined for $0\leq x$ , hence the first option is correct.

5 0

3 years ago

Read 2 more answers