(1/3) to the 3 power

Mathematics

2 answers:

Liula [17]4 years ago

7 0

$If \ 2^{2} = 2*2, \ then \ (1/3)^3 \ is 1/3*1/3*1/3, \ or \ 1/27
\\\boxed{\frac{1}{27}}$

Semenov [28]4 years ago

6 0

1/3 x 1/3 = 1/9

1/9 x 1/3 = 1/27

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Please help!!! I don’t understand it at all and I need it ASAP!

Ivenika [448]

9514 1404 393

Answer:

$\textbf{D.}\quad g(x)=\sqrt{x+6}+4$

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

f(x) = √x

g(x) = f(x+6) +4

g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for right 6 units, so h=-6 for left 6 units. Then x-h = x-(-6) = x+6.

Comment on the graph

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).

7 0

3 years ago

What times what equals -30 but also can be added together and equal -4

Step2247 [10]

Answer:

Step-by-step explanation:

xy=-30

y=-30/x

x+y=-4

x-30/x=-4

x²-30=-4x

x²+4x-30=0

$x^2+4x-30=0\\x=\frac{-4\pm\sqrt{16+120} }{2} \\=\frac{-4\pm\sqrt{136} }{2} \\=-2\pm\sqrt{39} \\=-2+\sqrt{39} ,-2-\sqrt{39} \\y=\frac{-4}{-2+\sqrt{39} } ,\frac{4}{2+\sqrt{39} }$ $correction write ~-30 ~in~place~of~-4~in~the~end$