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I think ROM will get it.....I used an online derivative calculator to find the result.....he can probably do it in his head ! 

     2^(1/3)

-3 * 2^(1/3)     * (x-1)  + 7       or  maybe       -3 * 2^(1/3)  * ((x-1)+7 )

It really never stops increasing, although it will appoach a min value of 0 on the left and a max value of 15 on the right

However.....the curve has an inflection point  at  x ≈  6.93

The growth rate is concave up  on   (-inf ,≈ 6.93)  = (-inf, ln 4 / 0.2 )

After this....the growth rate slows

Here is a graph that confirms this : https://www.desmos.com/calculator/opkiltmvhg

I thhhink ur right ElectricPavlov. Cuz when I put the graph into www.desmos.com/calculator, the graph looked like it started its growth rate from the - side to the positive side. I'm just not sure if I'm right.

But I'll wait for your post :)

Sum of a number and -5    ====   (x+-5)

    is multiplied by  -7        ======  7(x-5)

       the result is 49      =========== -7(x-5) = 49    use distributive property

                                                            -7x + 35 = 49    subtract 35 from both sides of the equation

                                                             -  7x = 14        divide both sides by -7

                                                                 x = -2 

When the sum of a number and -5 is multiplied by -7, the result us 49.

How do you eat an elephant?  One bite at a time. 

Take this problem apart and look at one bite at a time.

"When the sum of a number and –5 is..."       What does this mean?  First, there's a number.  We don't know what it is so let's let X stand for it. So the sum of X and –5 is simply X +(–5), or X–5.  Put some parentheses around that, like this: (X–5)

What is the next part of the problem?  "...is multiplied by –7"  so let's write out that multiplication: (X–5)(–7)

The problem says that that equals 49, so put it all together           (X–5)(–7) = 49

Then just multiply the left side and the equation looks like this:       –7X + 35 = 49

Subtract 35 from both sides                                                              –7X = 14

Divide both sides by –7                                                                         X = –2 

.

Are you sure, Alex? It's ok if ur not tho :)

I believe it is the 3rd one.....I looked at it graphically, but I do not know exactly how to find the answer otherwise.....I'll think about it for a while and if I can come up with the REASON for the answer , I will re-post....    sorry   ...

If you know how to do the derivative, it is where the slope goes from positive to negative.....

(or as ROM points out below....IF you know how to do the second derivative, it is where this = 0  )

I know it I think it should be the second if I'm right

-AlexSpade_11

It's the second one your welcome

The key to these square roots is to factor the number with the largest square possible

For the cube roots...the largest cube possible

a  sqrt ( 250)  =  sqrt (25 * 10) =  sqrt (25)*sqrt(10) =  5 sqrt(10)

b   ∛(250)  = ∛ [ 125 *2 ] =  ∛125 * ∛2   =  5 ∛2

c  sqrt (135) =  sqrt (  9 * 15)  =  sqrt(9) * sqrt (15) = 3sqrt(15)

d  ∛135  = ∛ [ 27 * 5 ]  = ∛27 * ∛5  =   3 ∛5

e   sqrt (16) = 4 

f   ∛16  = ∛8 * ∛2   =  2∛2

g     sqrt (40) = sqrt(4) * sqrt (10)  = 2sqrt(10)

h   ∛40 = ∛8 * ∛5 =  2∛5

i   sqrt (216)   =   sqrt (36) * sqrt (6) =  6sqrt(6)

j   ∛216 =  6

k   sqrt (108) =  sqrt (36) * sqrt (3)  = 6 sqrt(3)

l    ∛108 = ∛27 * ∛4 =   3∛4

m      sqrt ( 56) =  sqrt (4 * 14)  =  sqrt (4) * sqrt (14)  = 2sqrt (14)

n       ∛56 = ∛8 *∛7 =   2∛7

o    sqrt (480 = sqrt 16 * sqrt 3 =   4 sqrt(3)

p   ∛48 = ∛8 * ∛6  =  2∛ 6

I'm not sure why that is? I don't know what those hearts mean, really lol.

But, can you help me with this problem? I've been posting so many times, and I can't get anyone's help. Hopefully u can help??

Thanks!

Hey dude, here are fun facts about Venezuela!:

- During Pérez Jimenez' dictatorship from 1952 to 1958, Venezuela enjoyed remarkably high GDP growth, so that in the late 1950s Venezuela's real GDP per capita almost reached that of West Germany. In 1950, Venezuela was the world's 4th largest wealthiest nation per capita

- about 32,641,749 people live in Venezuela 

Part (b) is using \((x+b)^2.\)

Remember that \((x+b)^2=x^2+b^2+2xb.\)

Therefore, plugging in the values, we get \((-\frac{7}{2})^2=x^2+b^2+2(4).\)

Simplifying, \(\frac{49}{4}-8=x^2+b^2\), and that is equal to \(\frac{49}{4}-\frac{32}{4}=\boxed{\frac{17}{4}}.\)

Hope that helped,

tertre 

I think you mean -2.8.

FUN FACT:

"During Pérez Jimenez' dictatorship from 1952 to 1958, Venezuela enjoyed remarkably high GDP growth, so that in the late 1950s Venezuela's real GDP per capita almost reached that of West Germany. In 1950, Venezuela was the world's 4th largest wealthiest nation per capita"

OMG!!

Part (a) is just Vieta's.

The sum of the roots is -b/a, or in the quadratic equation, it is -7/2.

On the other hand, the product of the roots is c/a, so the answer is 8/2=4.

Hope that helped,

tertre 

\(-5(x+(-7)]=49\\ -5x + 35 = 49\\ -5x = 14\\ x = -\dfrac{14}{5}\)