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3 years ago

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I need step by step help with: 3x^1/3 + 2x^2/3 =5

1 answer:

Luba_88 [7]3 years ago

5 0

If you write $y=x^{1/3}$ , you'll notice this is really just a quadratic equation that can be factorized:

$2x^{2/3}+3x^{1/3}-5=0\iff 2y^2+3y-5=0\iff (2y+5)(y-1)=0\iff(2x^{1/3}+5)(x^{1/3}-1)=0$

So you have

$2x^{1/3}+5=0\implies 2x^{1/3}=-5\implies x^{1/3}=-\dfrac52\implies x=-\dfrac{125}8$

and

$x^{1/3}-1=0\implies x^{1/3}=1\implies x=1$

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The American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 33

Tpy6a [65]

Answer:

The estimate for the proportion of Americans over 33 who smoke is 0.28.

Step-by-step explanation:

Proportion of Americans over 33 who smoke.

Number who smoke divided by the size of the sample.

In this question:

Sample of 1267.

913 don't smoke, so 1267 - 913 = 354 smoke. Then

$p = \frac{354}{1267} = 0.28$

The estimate for the proportion of Americans over 33 who smoke is 0.28.

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3 years ago

Rafael counted a total of 40 white cars and yellow.There were 9 times as many white cars as yellow cars how many white cars did

Naily [24]

Well 9x40 would be the solution, so what is 9x40? That will be your answer.

6 0

3 years ago

PLEASE HELP ILL MARK BRAINLIEST !!!

Alexus [3.1K]

Answer:

a) the common difference is 20

b) $x_8=115 , x_{12}=195$

c) the common difference is -13

d) $a_{12}=52, a_{15}=13$

Step-by-step explanation:

a) what is the common difference of the sequence xn

Looking at the table, we get x_3=16, x_4=36 and x_5= 56

Deterring the common difference by subtracting x_4 from x_3 we get

36-16 =20

So, the common difference is 20

b) what is x_8? what is x_12

The formula used is: $x_n=x_1+(n-1)d$

We know common difference d= 20, we need to find $x_1$

Using $x_3=16$ we can find $x_1$

$x_n=x_1+(n-1)d\\x_3=x_1+(3-1)d\\15=x_1+2(20)\\15=x_1+40\\x_1=15-40\\x_1=-25$

So, We have $x_1 = -25$

Now finding $x_8$

$x_n=x_1+(n-1)d\\x_8=x_1+(8-1)d\\x_8=-25+7(20)\\x_8=-25+140\\x_8=115$

So, $\mathbf{x_8=115}$

Now finding $x_{12}$

$x_n=x_1+(n-1)d\\x_{12}=x_1+(12-1)d\\x_{12}=-25+11(20)\\x_{12}=-25+220\\x_{12}=195$

So, $\mathbf{x_{12}=195}$

c) what is the common difference of the sequence $a_m$

Looking at the table, we get a_7=104, a_8=91 and a_9= 78

Deterring the common difference by subtracting a_7 from a_8 we get

91-104 =-13

So, the common difference is -13

d) what is a_12? what is a_15?

The formula used is: $a_n=a_1+(n-1)d$

We know common difference d= -13, we need to find $a_1$

Using $a_7=104$ we can find $x_1$

$a_n=a_1+(n-1)d\\a_7=a_1+(7-1)d\\104=a_1+7(-13)\\104=a_1-91\\a_1=104+91\\a_1=195$

So, We have $a_1 = 195$

Now finding $a_{12}$ , put n=12

$a_n=a_1+(n-1)d\\a_{12}=a_1+(12-1)d\\a_{12}=195+11(-13)\\a_{12}=195-143\\a_{12}=52$

So, $\mathbf{a_{12}=52}$

Now finding $a_{15}$ , put n=15

$a_n=a_1+(n-1)d\\a_{15}=a_1+(15-1)d\\a_{15}=195+14(-13)\\a_{15}=195-182\\a_{15}=13$

So, $\mathbf{a_{15}=13}$

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3 years ago

X+2y=10<br> X+y=6<br> Using eliminations to solve each system

Svetllana [295]

Answer:

x= 2

y=4

Just subtract by like numbers.

7 0

3 years ago

Read 2 more answers

1. x² + 2xy – 7 xy + 4y?<br>Input your answer here:

viktelen [127]

collect the like terms:

Solution: x^2-5xy+4y

P.S

get the photo math app. :)

Hope that helps.

6 0

3 years ago