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Allushta [10]
3 years ago
11

Part A

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

A

F(x)=-\frac{1}{1500}(x+20)(x+5)(x-15)

B

=> F(x)=-\frac{x^3}{1500}-\frac{x^2}{150}+\frac{11x}{60}+1

Step-by-step explanation:

Function and its graphs

Part A

The graph shown in the image corresponds to a cubic function because of its classical infinite branches, three real roots and two extrema values

Part B

Knowing the value of the three roots x=-20, x=-5, and x=15 we can express the cubic function in factored form:

F(x)=C(x+20)(x+5)(x-15)

The value of C will be determined by using any particular point from the graph. Let's use (0,1)

1=C(0+20)(0+5)(0-15)

C=-\frac{1}{1500}

Replacing, we find the factored form of the function

F(x)=-\frac{1}{1500}(x+20)(x+5)(x-15)

The standard form demands to expand all the products and simplify

F(x)=-\frac{1}{1500}(x^3+10x^2-275x-1500)

=> F(x)=-\frac{x^3}{1500}-\frac{x^2}{150}+\frac{11x}{60}+1

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What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12
Ainat [17]
Hey Tierra7l, 

Lets solve your equation together step by step. 

3x+2\left(x-5\right)=50 

\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10 

\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac 

                                    a=2,\:b=x,\:c=-5 

2\cdot \:x+2\left(-5\right) 

\mathrm{Apply\:minus-plus\:rules} 

\:\:+\left(-a\right)=-a 

2x-2\cdot \:5 

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10 

2x-10 

3x+2x-10=50 

\mathrm{Add\:similar\:elements:}\:3x+2x=5x 

5x-10=50 

\mathrm{Add\:}10\mathrm{\:to\:both\:sides} 

5x-10+10=50+10 

\mathrm{Simplify} 

5x=60 

\mathrm{Divide\:both\:sides\:by\:}5 

\dfrac{5x}{5}=\dfrac{60}{5} 

\mathrm{Simplify} 

x=12 

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3 years ago
What is the solution to the equation?
ki77a [65]

Answer:

7

Step-by-step explanation:

3 {(x + 9)}^{ \frac{3}{4} }  = 24 \\  \\ {(x + 9)}^{ \frac{3}{4} }  =  \frac{24}{3}  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =  8  \\  \\  {(x + 9)}^{ \frac{3}{4} }  =   {2}^{3}   \\  \\ (x + 9) =  {2}^{3 \times  \frac{4}{3} }  \\  \\ x + 9 =  {2}^{4}  \\  \\ x + 9 = 16 \\  \\ x = 16 - 9 \\  \\ x = 7

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Como podríamos saber cuantos camellos le corresponden a cada hermano en realidad
SCORPION-xisa [38]

Answer:

Eldest brother = 18 camels

2nd brother = 12 camels

Youngest brother = 4 camels

Step-by-step explanation:

Question posted:

How could we know how many camels actually correspond to each brother?

It is from "the man who calculated":

The question is incomplete without the background information.

Based on the question, It has to do with sharing an inheritance of 35 camels among 3 brothers.

"The man who calculated", by Malba Tahan.

Since the complete question isn't available, we are going to look at the following question to understand how to do the calculation.

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How can an inheritance of 35 camels be divided among three brothers in such a way that the eldest brother gets half of them, the second one gets 1/3 of the total and the youngest brother gets 1/9 of the total camels?

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Since we can't have a camel in fraction except in whole number, we would look for the closest number to 35 that would be divided by 2, 3 and 9 respectively without giving a fraction.

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Now let's add the camels the 3 brother got together = 18 + 12 + 4 = 34 camels

Total camels - amount shared = 35 -34 = 1

Meaning one camel is remaining. The distributor would keep the remaining one as that's the way such distributions could be achieved.

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