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3 years ago

Find the nonpermissible replacement for 'n' in this expression (-8)/(5n)

2 answers:

7 0

In any rational function the denominator should never equal to 0, hence in this case since the denominator is 5n the only answer is n should not equal 0

-BARSIC- [3]3 years ago

5 0

the answer is : n equals 0

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Write the equation of a parabola having the vertex (1, −2) and containing the point (3, 6) in vertex form. Then, rewrite the equ

In-s [12.5K]

PART A

The equation of the parabola in vertex form is given by the formula,

$y - k = a {(x - h)}^{2}$

where

$(h,k)=(1,-2)$

is the vertex of the parabola.

We substitute these values to obtain,

$y + 2 = a {(x - 1)}^{2}$

The point, (3,6) lies on the parabola.

It must therefore satisfy its equation.

$6 + 2 = a {(3 - 1)}^{2}$

$8= a {(2)}^{2}$

$8=4a$

$a = 2$
Hence the equation of the parabola in vertex form is

$y + 2 = 2 {(x - 1)}^{2}$

PART B

To obtain the equation of the parabola in standard form, we expand the vertex form of the equation.

$y + 2 = 2{(x - 1)}^{2}$

This implies that

$y + 2 = 2(x - 1)(x - 1)$

We expand to obtain,

$y + 2 = 2( {x}^{2} - 2x + 1)$

This will give us,

$y + 2 = 2 {x}^{2} - 4x + 2$

$y = {x}^{2} - 4x$

This equation is now in the form,

$y = a {x}^{2} + bx + c$
where

$a=1,b=-4,c=0$

This is the standard form

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3 years ago

Factor: -8x+16+8x8 – 31x2

ValentinkaMS [17]

Answer:

$- 2(4x -9)$

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4 years ago

URGENT PLEASE ANSWER 15 POINTS

olga2289 [7]

Answer:

Number one,

So we can find the middle and draw the bisect.

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3 years ago

Simplify the expression. (81x^12/3x^3)^1/3

ser-zykov [4K]

Raise each number to the power outside the parentheses.

$\left( \dfrac{81x^{12}}{3x^3} \right) ^{ \frac{1}{3} } = \\

= \left( 27x^{12-3} \right) ^{ \frac{1}{3} } = \\

= \left( 27x^{9} \right) ^{ \frac{1}{3} } = \\

= \left( 3^3x^{9} \right) ^{ \frac{1}{3} } = \\

= \left( 3^3 \right) ^{ \frac{1}{3} } \times \left( x^{9} \right) ^{ \frac{1}{3} } \\

= \left( 3^{3 \times \frac{1}{3} } \right) \times \left( x^{9 \times \frac{1}{3} }} \right) \\

= 3^1 x^3 \\

= 3x^3


$

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3 years ago

PLEASE HELP ITS DUE AT MIDNIGHT

antiseptic1488 [7]

Answer:
The rest of the question is the attached figure
The percent change =
If (+ve) increase and if (-ve) decrease
Part A: What is the percent of change in the cost of a pizza?
The initial price = $7.5
The final price = $9
The percent change = %
Part B: What is the percent of change in the cost of a cheeseburger?
The initial price = $5
The final price = $6.5
The percent change = %
Part C: What is the percent of change in the cost of a serving fries?
The initial price = $2
The final price = $4.5
The percent change = %
Part D: What is the percent of change in the cost of a hot dog?
The initial price = $2.5
The final price = $2
The percent change = %
i found this online i hope if helps you

3 0

3 years ago

Read 2 more answers