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pentagon [3]
3 years ago
11

The quadratic function

Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

Answer:

The maximum revenue that can be generated is $128.13

Step-by-step explanation:

we have

R(p)=-5.2p^{2}+65p-75

where

R(p) represent the amount of revenue in dollars

p the product price

This is a vertical parabola open downward

The vertex represent a maximum

so

The y-coordinate of the vertex represent the maximum revenue that can be generated

Solve by graphing

using a graphing tool

Graph the quadratic equation

The vertex is the point (6.25,128.125)

see the attached figure

the y-coordinate of the vertex is 128.125

therefore

The maximum revenue that can be generated is $128.13

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Simplify this expression 5(6x)
nirvana33 [79]

30x! That was simple! Steps are shown below in case you need them!

5(6x)

(Now, you multiply 5*6)

30x

Bam!

$30x$

30x is da answer.

Hope that helps! Be sure to let me know if it does not!

8 0
4 years ago
Read 2 more answers
One bricklayer can build a wall in 6 hours. Another bricklayer could build the same wall in 4 hours. If they work together, how
Natasha2012 [34]

Answer:

they work together, it will take 2.4 hours to build the wall.

Step-by-step explanation:

One bricklayer can build a wall in 6 hours.

One hour work = \frac{1}{6}

Another bricklayer can build the same wall in 4 hours.

One hour work = \frac{1}{4}

They can together, how long will take them to build the wall.

Let's take "t" the time taken to build the wall.

The sum of their work rate = 1 (To build the wall)

\frac{t}{6} + \frac{t}{4} = 1

Now we have to solve this equation. Take LCD of 6 and 4.

The LCD (least common divisor) of 6 and 4 is 12.

\frac{2t + 3t}{12} = 1

5t = 12*1

5t = 12

Dividing both sides by 5, we get

t = \frac{12}{5}

t = 2.4 hours.

So, they work together, it will take 2.4 hours to build the wall.

6 0
4 years ago
The sum of two squares of two consecutive natural numbers is 41.Find the numbers​
Arada [10]
<h3><u>AnswEr</u><u> </u><u>:</u></h3>

The 2 unknown numbers are 4 and 5 .

<h3><u>Expla</u><u>nation</u><u> </u><u>:</u></h3>

Let the numbers be x and x + 1.

From the given information,

\dashrightarrow\sf \ \ \ x^2 + (x + 1)^2 = 41 \\  \\  \\

\dashrightarrow\sf \ \ \ 2 {x}^{2}  + 2x + 1 = 41 \\  \\  \\

\dashrightarrow\sf \ \ \ 2 {x}^{2}  + 2x + 1 - 41=0 \\  \\  \\

\dashrightarrow\sf \ \ \  {x}^{2}  + x - 20 = 0 \\  \\  \\

\dashrightarrow\sf \ \ \ (x + 5)(x - 4)=0 \\  \\  \\

\dashrightarrow\sf \ \ \ { \underline{ \boxed{ \bf{ \red{x =  - 5,4}}}}} \ \bigstar \\  \\

But, as we know -5 is not a natural number,

Hence, x = 4 .

<u>So the 2 unknown numbers are</u><u> </u><u>:</u>

  • x = 4 [1st number]

  • x + 1 = 4 + 1 = 5 [2nd number]

<h2><u>━━━━━━━━━━━━━━━</u></h2>
7 0
3 years ago
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Helppppopppooopppppp​
babunello [35]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Find the LCM of 40a2b and 48ab4.​
salantis [7]

Answer:

Step-by-step explanation:

40a²b =  2* 2 * 2 * 5 * a² * b      =  2³ * 5 * a² * b

48ab⁴ = 2 * 2 * 2 * 2 * 3 * a *b⁴  = 2⁴ *  3 * a * b⁴

LCM = 2⁴ * 3 * 5 * a² * b⁴

       = 16 * 3 * 5 * a² * b⁴

       = 240a²b⁴

3 0
3 years ago
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