Which choice is equivalent to the fraction below when x is an appropriate
value? Hint: Rationalize the denominator and simplify.
2
2-√6x
A.
2+√6x
2-6x
B. 2+√6x
4-3x
C. 2+√6x
2-3x
D. 2+√6x
4-6x

Answer:

Step-by-step explanation:

As host, we want to insure each guest has at least one slice of pie.  We can say  (1 Slice/Guest) and use this as a conversion factor.  We also know each pie has 8 slices:  (8 Slices/1 Pie).  Since this is a conversion factor, we can invert it to (1 Pie/8 Slices).  We expect 38 people and want to convert that number of people to the number of pies, p, we need.

  p (pies) [tex]\geq[/tex] (38 Guests)*(1 Slice/Guest)*(1 Pie/8 Slices)

We use the [tex]\geq[/tex] sign to note that we need a minimum of pies to be sure everyone is served.

p (pies) [tex]\geq[/tex] (38 )*(1 /)*(1 Pie/8 )

Note how the units cancel:

Guests and Slices both cancel and we are left with pies as the only remaining unit, as we hoped we'd see.

p [tex]\geq[/tex] (38/8) pies

p = 4 +(6/8) pies

Since we cannot purchase 6/8 of a pie, we need to round up to 5 pies.

5 pies, at 8 slices per pie, will provide 40 servings, enough for the 38 guests.

Answer:

B. Never

Step-by-step explanation:

that's just what my math teacher told us...

Answer:

x=9

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

⇒ Multiply 2 by 3

2 * 3 = 6

4 (6 - 1)

⇒ Distribute terms

4 * 5

20

Hence, the answer is 20.

Answer:

$15 is the answers

Step-by-step explanation:

please mark me as brainlest

Answer:

$ 35.00   is what you pay     $15.00 off original price

Step-by-step explanation:

30 % discount means you pay 70 %

$ 50 * .70 = $ 35 .00

The asymptote and the y-intercept of the function is asymptote: y = 2

y-intercept: (0,8) , Option A is the answer.

Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.

It is given that f(x) = 6 (0.5)ˣ +2

The horizontal asymptote is at y = c

y = 2

From the curve it can be seen that

The intercept of y axis is determined when x = 0

then f(0) = 6 * (0.5)⁰ + 2

f(0) = 8

Therefore the y intercept is at (0,8)

Therefore Option A is the right answer.

To know more about Asymptote

https://brainly.com/question/4084552

#SPJ1

Answer:

C

Step-by-step explanation:

thats what i got

Answer: 3x+1

Step-by-step explanation: See attachment

Answer:

radius = 5

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 2)² + (y - 6)² = 25 ← is in standard form

with r² = 25 ( take the square root of both sides )

r = [tex]\sqrt{25}[/tex] = 5

Answer:38.9

Step-by-step explanation:

Answer:

x=79/5 or 15.8

Step-by-step explanation:

....................

Answer:

[tex]\frac{79}{5}[/tex]

Step-by-step explanation:

Combine [tex]\frac{1}{3}[/tex] and x.

[tex]\frac{x}{3} +\frac{11}{15}=6[/tex]

Move all terms not containing x to the right side of the equation.

[tex]\frac{x}{3}=\frac{79}{15}[/tex]

Multiply both sides of the equation by 3.

3[tex]\frac{x}{3}[/tex]=3([tex]\frac{79}{15}[/tex])

Then 3 cancels out on the left side so all is left is 3.

On the right side, you need to multiply.

3 times 79 is 237.

Now simplify and you get:

79/5

Hope this helped!

Answer:

See Below

Step-by-step explanation:

The equation for this scenario would be  ( compounded annually)

6600 ( 1 + .006)^6         = £ 6841.19

Answer:

Brian will have £6841.19 after 6 years.

Step-by-step explanation:

The compound interest formula is:

[tex]A = P( 1 +\frac{r}{100} )^{n}[/tex] ,

where A is the final amount, P is the initial (principal) amount invested (£6600), r is the interest rate (0.6%) and n is the number of years the money is kept for (6 years).

Using the formula:

[tex]A = 6600(1 + \frac{0.6}{100} )^{6}\\\\A = 6841.19[/tex]

[tex] {a}^{3} . \\ \\ {a}^{5}. \\ \\ {a}^{9} . \\ \\ {a}^{m + n}. \\ \\ {x}^{1} = x.\\ \\ {x}^{3}. \\ \\ {x}^{3}. \\ \\ {x}^{m - n} . \\ \\ {y}^{6} . \\ \\ {y}^{12} . \\ \\ {y}^{18} . \\ \\ {y}^{ab}. \\ \\ 1. \\ \\ 1. \\ \\ {px}^{1} = px.[/tex]

[tex]343 .\\ \\ 16 .\\ \\ 3125 .\\ \\ \frac{ - 8}{27} .[/tex]

Answer:

It is both answers B and D

The transformation is nonrigid because the segment lengths are not preserved.

The image related to the question cannot be found. However, the question can still be solved

The given parameters are:

From the question, we understand that the side lengths are not equal.

This means that the triangles are dilated.

And the scale factor of dilation is

Scale factor = 6/3 = 10/5 = 8/4

Scale factor = 2

The scale factor of dilation is 2

Dilation is a non rigid transformation.

Hence, the transformation is nonrigid because the segment lengths are not preserved.

Read more about dilation at:

https://brainly.com/question/3457976

#SPJ1

Answer:

The transformation is nonrigid because the segment lengths are not preserved.

The activity series is an arrangement of species in order of reactivity.

The activity series is an arrangement of species in order of reactivity. The position of a specie in the series determines the possibility of certain reactions.

The following are the fates of these reactions;

Learn more about activity series:https://brainly.com/question/18080147

#SPJ1

The Arc Length BD from the given diagram is; 4.09π = 12.85 in

From the attached image, we are given;

m∠APC = 92°

Now, from the principle of vertical angles being congruent, we have;

m∠APC = m∠BPD = 92°

Thus;

Arc length BD = 2π * 8 * (92/360)

Arc Length BD = 4.09π = 12.85 in

Read more about Arc Length at; https://brainly.com/question/2005046

#SPJ1

The similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

It is defined as a three-dimensional space enclosed by an object or thing.

As we know,

Volume = base area×height

38.4 = base area×4

base area = 38.4/4 = 9.6 square cm

A mathematically similar paperweight has a height of 7 cm.

Volume = base area×height

Volume = 9.6×7 = 67.2 cubic cm

Thus, the similar paperweight has a volume of 67.2 cubic cm if the height is 7 cm.

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ1

The Common Ratio is 1.05 . Option C is the answer.

The complete question is

Which value should she use as the common ratio?

0.05

0.5

1.05

5.0

In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.

Let Yui saving at the end of first month is Rs.x .

As given in the question

each month’s total is 5% greater than the previous month’s total.

Saving after second month is = First Month Total + 5% of First Month Total

= x + (5 % of x )

= x + (5*x/100)

= x + 0.05x

= 1.05x.

Yui balance is 1.05 times of Previous Month balance

Common Ratio = {Next Month }/ {Previous Month}

Common Ratio = 1.05 x / x

Common Ratio = 1.05

Therefore Common Ratio is 1.05 . Option C is the answer.

To know more about Common Ratio

https://brainly.com/question/13637951

#SPJ1

Answer:

1a7

Step-by-step explanation:

26+-25=1

Step-by-step explanation:

Use this algebra 2 theorem:

If r and q are roots of a polynomial function then

the polynomial function can be expressed as

[tex](x - r)(x - q)[/tex]

Here the roots are

1- root of 6, 1+ root 6, and. 7-i so our. function can be expressed as

[tex](x - (1 - \sqrt{6} ))(x - (1 + \sqrt{6} ))(x - (7 - i))[/tex]

The first two binomials are difference off squares so the we have

[tex] {x}^{2} + x( - 1 + \sqrt{6} ) + x( - 1 - \sqrt{6} ) + ( - 5)[/tex]

[tex] {x}^{2} - 2x - 5[/tex]

The other root is (7-i).

Also note since (7-i) is a root, then (7+I) is also a root.

So

[tex](x - (7 - i)(x - (7 + i)( {x}^{2} - 2x - 5)[/tex]

[tex]( {x}^{2} - 14x + 50)( {x}^{2} - 2x - 5)[/tex]

Simplify and it gives us

[tex] {x}^{4} - 16 {x}^{3} + 73 {x}^{2} - 30x - 250[/tex]

The equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

We are aware that any straight line's equation can be expressed as

y = mx + c,

where m denotes the slope and c denotes a constant.

Also, two perpendicular lines' slopes are the negative reciprocals of one another.

Here, the equation of the given straight line is

3x+8y=4

i.e. 8y = 4 -3x

i.e. y = (4/8) - (3/8)x

Now the negative reciprocal of - 3/8 is 8/3.

Then we can write the equation of the perpendicular line is

y = (8/3)x + c ...(1)

Since (1) passes through the point (8, -9), so we can put x = 8 and y = -9 in (1) to get the value of c.

So, -9 = (8/3)*8 + c

i.e. -9 = 64/3 + c

i.e. c = -9 -64/3 = - (27 + 64)/3 = - 91/3

(1) can be written as

y = (8/3)x - (91/3)

i.e. 3y = 8x - 91

i.e. 8x - 3y = 91

Therefore the equation of the line through the point (8,−9) and perpendicular to 3x+8y=4 is given by 8x - 3y = 91.

Learn more about perpendicular lines here -

https://brainly.com/question/12209021

#SPJ10

Answer: 43

Step-by-step explanation:

Step 1: Simplify inside the parenthesis

(12 ÷ 3) + 3+ (16-7) × 4

4 + 3 + 9 × 4

Step 2: Multiply 9 by 4

4 + 3 + 36

Step 3: Combine Like Terms

43

Answer:

C) 15.5 units

Step-by-step explanation:

Step-by-step explanation:

square root 3 divided by

2

Answer:

Step-by-step explanation:

1 km = 0.62 mi

So, to convert 6 km to mi, multiply 6 by 0.62.

6km = 6* 0.62

        = 3.72 mi

1 L = 0.26 gal

To convert 2.5 L to gallon, multiply 2.5 by 0.26.

2.5 L = 2.5 * 0.26

         = 0.65 gal

1 lb = 0.45 Kg

To convert 90 lb to Kg, multiply 90 by 0.45.

90 lb = 90 *0.45

        = 40.5 Kg

Answer:

32 km/hr

Step-by-step explanation:

Firstly, you need to find the speed of both trains in km/hr.

Paolo's train= (70km x 60hr)/35= 120 km/hr

Monika's train= 684km/4.5hr= 152 km/hr

Then find the difference in speed:

152-120=32 km/hr

The volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

A scale model of a statue has a height of 20 cm.

The formula for density:

D = mass/volume

Volume = base area×hieght

104.4 kg = 104400 grams

2 m = 200 cm

Volume = Mass/D

Volume(real statue) = 104400/200 = 522 cubic cm

Scale factor = 20/200 = 1/10

Volume of model statue = 522(1/10) = 52.2 cubic cm

Thus, the volume of the model in cm³ is 52.2 if the scale model of a statue has a height of 20 cm. The real statue has a height of 2 m

Learn more about the density here:

brainly.com/question/952755

#SPJ1