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3 years ago

13

What value of x makes the equation 3 =

\sqrt[3]{3x+ 6}" alt="\sqrt[3]{3x+ 6}" align="absmiddle" class="latex-formula"> true?

2 answers:

julia-pushkina [17]3 years ago

7 0

Answer: 7

Step-by-step explanation:

Solve rational equations that have real solutions.

disa [49]3 years ago

3 0

3^3=3x+6,so3x=27-6=21,sox=7

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2x + 1 ≤ 7 and -2x + 1 ≤ 9

djyliett [7]

Answer:

Step-by-step explanation:

6 0

3 years ago

Please help me to solve this problem<br>

faust18 [17]

Answer:

$\sqrt{3} + \frac{5\sqrt{3} }{6}$

Step-by-step explanation:

tan(30°) = $\frac{\sqrt{3}}{3}$

cot(30°) = $\sqrt{3}$

sin(60°) = $\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3} }{3} +\sqrt{3} +\frac{\sqrt{3}}{2} = \sqrt{3} +\frac{5\sqrt{3} }{6}$

3 0

3 years ago

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The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl

gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

from perihelion to the sun in terms of ellipse is a-c;
from aphelion to the sun in terms of ellipse is a+c.

Then

$\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.$

Add these two equations:

$2a=1,558,000,000 \\ \\a=779,000,000$

and subtract first equation from the second:

$2c=76,000,000 \\ \\c=38,000,000.$

Note that $b=\sqrt{a^2-c^2},$ thus

$b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.$

The equation for the planet's orbit is

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.$

7 0

3 years ago

Kasey and her sister both sold cookie dough. Her sister sold three times as many tubs of cookie dough. If they sold a total of 8

Rufina [12.5K]

X= number of tubs Kasey sold
3x= number tubs sister sold

Add the number sold by Kasey and her sister to equal the total sold (88).

x + 3x= 88
combine like terms

4x= 88
divide both sides by 4

x= 22 number tubs Kasey sold

Number Sold by Sister
3x= 3(22)= 66

CHECK:
x + 3x= 88
22 + 3(22)= 88
22 + 66= 88
88= 88

ANSWER: Kasey sold 22 tubs and her sister sold 66 tubs.

Hope this helps! :)

7 0

3 years ago

17,22,36,55,61,79 what is the median

Lunna [17]

Median is the middle number. To find median, the numbers must be ordered from least to greatest. The numbers are already ordered.

$17,22,36,55,61,79$

The middle numbers are 36 and 55, with 2 numbers on each side.

a, b, c, d, e, f

Add the 2 numbers and divide by 2

$36 + 55 = 91$

Now divide by 2

$91 \div 2 = 45.5$

The median is 45.5

6 0

3 years ago

Read 2 more answers