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3 years ago

Solve for x.

Mathematics

2 answers:

aivan3 [116]3 years ago

7 0

X^3 = 216

by taking cubic root for both sides

$\sqrt[3]{x^3} = \sqrt[3]{216}$

x = 6

lozanna [386]3 years ago

4 0

Answer:

x^3 = 216

by taking cubic root for both sides

\sqrt[3]{x^3} = \sqrt[3]{216}

x = 6

Step-by-step explanation:

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Choose the graph of the function <br><br>g(x) = 2 x 4^x

dexar [7]

Answer:

its B

Step-by-step explanation:

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8 0

3 years ago

Write the equation of a line that is parallel to the line 2x - 3y = 5 and passes through the point (2, -1)

jek_recluse [69]

Answer:

The equation of the line is 2x - 3y = 7 ⇒ answer A

Step-by-step explanation:

* Lets revise the relation between the parallel lines

- If two lines are equal then their slopes are equal

- We can make an equation of a line by using its slope and

a point on the line

- If the slope of the line is m and passing through the point (x1 , y1),

then we can use this form [y - y1]/[x - x1] = m to find the equation

* Lets solve the problem

- The line is parallel to the line 2x - 3y = 5

∴ the slope of the line = the slope of the line 2x - 3y = 5

- Rearrange the terms of the equation to be in the form

y = mx + c to find the slope of it

∵ 2x - 3y = 5 ⇒ subtract 2x from both sides

∴ -3y = 5 - 2x ⇒ divide two sides by -3

∴ y = 5/-3 - 2x/-3 ⇒ y = 2/3 x - 5/3

∴ The slop of the line is 2/3

∵ The line passes through point (2 , -1)

* Lets use the rule to find the equation of the line

∵ y - (-1)/x - 2 = 2/3

∴ y + 1/x - 2 = 2/3 ⇒ by using cross multiplication

∴ 3(y + 1) = 2(x - 2) ⇒ open the brackets

∴ 3y + 3 = 2x - 4 ⇒ put x an d y in one side

∴ 2x - 3y = 3 + 4

∴ 2x - 3y = 7

* The equation of the line is 2x - 3y = 7

8 0

3 years ago

Exercise 4.x2 Make a reasonable conjecture about the nth term in the sequence. 1 3 16 125 1296...

Ulleksa [173]

Answer:

The nth term in the sequence is given by the equation:

$n_{th} =(n+1)^{n-1}$

Step-by-step explanation:

Arranging a table for n and nth:

$\left[\begin{array}{ccc}n&nth\\1&1\\2&3\\2&16\\4&125\\5&1296\end{array}\right]$

It is easier to notice that 16 and 125 result from the second power of 4 and the third of 5, respectively, which are one number below their respective position. That is why we can deduce that the base of the power is n+1.

For n=2, the base n+1 results in 3, which matches the nth term for n=2. Since 3 is the result of 3 to the power of 1, 16 is 4 to the power of 2, and 125 is 5 to the power of 3, all the powers are one number behind n, so the power is given by n-1, giving the equation:

$n_{th} =(n+1)^{n-1}$

4 0

3 years ago

Write an expression to represent: "the difference of 8 squared and a number"

Gnom [1K]

Answer:

The expression is (64 - x).

Step-by-step explanation:

The statement is:

"the difference of 8 squared and a number"

Let the number be denoted by <em>x</em>.

The value of 8 squared is: