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3 years ago

The expression x^-2/5 is equivalent to

Mathematics

1 answer:

Novay_Z [31]3 years ago

3 0

It's equivalent to 1/5 square roots of x^2

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At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What

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Answer: $134.40

Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.

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3 years ago

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Use the distributive property to evaluate the expression.

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Answer:

208 or 26(8)

Step-by-step explanation:

8*26=208

26*8=208

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Which function describes the graph below? On a coordinate plane, a curve has a maximum value of 6 and a minimum value of 0. It c

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Step-by-step explanation:

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Find the volume of 20m, 5m, 18m

HACTEHA [7]

Answer:

600 m³

Step-by-step explanation:

The shape we have is a rectangular pyramid:

Formula: (volume of a rectangular pyramid)

Volume = (1/3) × Base Area × height

___________________________

In our case :

Base area = L × W = 20 × 18 = 360 m²

height = 5 m

⇒ Volume = (1/3) × Base Area × height

$\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5$

$\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}$

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2 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

Then the written function in the form of vertice is

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

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3 years ago