Which absolute value function is equivalent to the piecewise function shown ?
A)
f(x) = |x| - 3
B)
f(x) = |x-3|
C)
f(x) = |x|+3
D)
f(x) = |x+ 3|

Answer:

[tex]\frac{1}{x^{12} }[/tex]

Step-by-step explanation:

Given [tex](\frac{x}{x^{-5}})^{-2}[/tex]

The Negative Exponent Rule states that, [tex]a^{-n} = \frac{1}{a^{n}}[/tex]

Basically, since you're raising the fraction inside the parenthesis to a negative exponent, the whole fraction becomes a denominator of 1:  [tex]\frac{1}{(\frac{x}{x^{-5}})^{2}}[/tex]

Then, you'll have to work on the denominator:

[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}}[/tex]  

Next, you'll have to work on the divisor of x² (in the denominator), [tex](x^{-5})^{2}[/tex] by using the Power-to-Power Rule of Exponents: [tex](a^{m})^{n} = a^{mn}[/tex], which results in:

[tex](x^{-5})^{2} = x^{-10}[/tex]

Since it is a negative exponent, you'll have to apply the Negative Exponent Rule once again to the denominator.

[tex]\frac{1}{(\frac{x}{x^{-5}})^{2}} = \frac{1}{\frac{x^{2} }{(x^{-5})^{2}}} = \frac{1}{\frac{x^{2} }{x^{-10}}} = \frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}}[/tex]    

At this point, you could apply the Fraction rule onto the denominator: [tex]\frac{a}{\frac{b}{c}} = \frac{a*c}{b}[/tex]

So the denominator now becomes:

[tex]\frac{1}{\frac{x^{2} }{\frac{1}{x^{10}}}} = \frac{1}{x^{2}*x^{10} }[/tex]

Finally, you could apply the Product Rule of Exponents, [tex]a^{m}a^{n} = a^{m + n }[/tex] onto the denominator:

   [tex]\frac{1}{x^{2}*x^{10} } = \frac{1}{x^{2+10}} = \frac{1}{x^{12} }[/tex]

Therefore, the correct answer is: [tex]\frac{1}{x^{12} }[/tex]

Answer:

5.

Step-by-step explanation:

how?

Divide 2.95 by 0.59 that would equal 5.

Find slope of line (m)

[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Putting in y=mx+b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]

[tex]\\ \sf\longmapsto 2=2+b[/tex]

[tex]\\ \sf\longmapsto b=2-2=0[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=2x[/tex]

Answer:

Step-by-step explanation:

The line passes through the origin and holds the point A(1, 2).

This is a proportional relationship:

Considering the coordinates of the point A:

The line is:

Answer:

4 containers

Step-by-step explanation:

4 containers of juice x 10 people= 40 people to serve

Answer:

I think the slope of the line is -2/3

Answer: 500km I believe

Step-by-step explanation:

hope this helps :)

Answer:

I think that the answer is 850

Step-by-step explanation:

find out how many km traveled 0.5 hours, then multiply by 12

Step-by-step explanation:

an equation is a function, if it delivers for every possible input value x exactly one result value y.

b(x) = y = x² + 3

y - 3 = x²

x = sqrt(y -3)

our formally correct

y = sqrt(x - 3)

that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.

d(x) = -9

that means for every possible value of x the result is -9.

reversing this means that the input value of -9 has infinitely many possible results

that is NOT a function.

m(x) = y = -7x

x = -y/7

or formally correct

y = -x/7

that is a normal function. every possible value of x leads to exactly one value of y.

p(x) = y = 1x¹ = x

y = x is its own inverse function.

and this is, of course, a function. every possible value of x leads to exactly one value of y.

Answer:

2 1/4 - ((2 1/4 * ((3 / 5) + 1 2/3)) / 4 1/5) = 1.03571429

Step-by-step explanation:

The place value of the decimal is the hundredth's place.

Answer:

The place value is the tenths.

Step-by-step explanation:

2.45: Tenths

2.045: Hundreths

2.0045: Thousandths

Answer:

y = - [tex]\frac{1}{3}[/tex]x + 4

Step-by-step explanation:

To find the slope of a perpendicular line, find the negative reciprocal of the slope.

The slope is 3 so the slope of the perpendicular line would be - [tex]\frac{1}{3}[/tex]

________________

Then use point slope form to find the equation of the perpendicular line:

y - [tex]y_{1}[/tex] = m (x -  [tex]x_{1}[/tex] )

point = (6, 2)

slope = - [tex]\frac{1}{3}[/tex]

y - 2 = - [tex]\frac{1}{3}[/tex] (x - 6)

________________

If you want it in slope intercept form, you can just rearrange the equation:

y = 2 - [tex]\frac{1}{3}[/tex]x +2

y = - [tex]\frac{1}{3}[/tex]x + 4

Table:

1st row: x = -2 and y = 1

2nd row: x = -1 and y = 2

3rd row: x = 0 and y = 3

(It will continue going on with x and y each going up by one infinitely.)

Graph:

The graph is linked, so you can plot the points.

If needed, here are the plotted points:

-2, 1

-1, 2

0, 3

(The same things put in the table. Also, if needed, I added the extra points of 1, 4 and 2, 5 on the image.)

Hope this helps! :D

9514 1404 393

Answer:

  D. -31m^4n-8m^2

Step-by-step explanation:

Eliminate parentheses by distributing the minus sign. Then collect terms:

  (9mn-19m^4n)-(8m^2+12m^4n+9mn) = 9mn -19m^4n -8m^2 -12m^4n -9mn

  = m^4n(-19 -12) +mn(9 -9) +m^2(-8)

  = -31m^4n -8m^2 . . . . . matches choice D

Answer:

To find 3,500 by near to 3,550

Step-by-step explanation:

the nearest number of 3,500 is 3,500

Answer:

5

Step-by-step explanation:

Answer:

A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above

Answer:

ew

Step-by-step explanation:

Answer:

Step-by-step explanation:

two points on the line are (-2,0) and (0,4)

slope=(y2-y1)/(x2-x1)=(4-0)/(0-(-2))=4/2=2

eq. of line is y-0=2(x-(-2))

y=2(x+2)

y=2x+4

9514 1404 393

Answer:

  x = 11

Step-by-step explanation:

The two marked angles are corresponding angles, so are congruent.

  7x+14 = 9x-8

  22 = 2x

  11 = x

__

Check

The angle measures are ...

  7(11) +14 = 77 +14 = 91 . . . degrees

  9(11) -8 = 99 -8 = 91 . . . degrees

Answer: Cathy walked her dog 28810 miles

Step-by-step explanation:

215*134=28810

Answer:

Cathy walked her dog 28810 miles

Step-by-step explanation:

Answer:

75 questions

Step-by-step explanation:

[tex]45[/tex] ÷ [tex]\frac{3}{5}[/tex] of an hour

[tex]\frac{3}{5} =36[/tex]

[tex]45[/tex] ÷ [tex]36[/tex] minutes

= 1.25

1.25 times 60 = 75 questions

If at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $

24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900

Using this formula

2022 Balance in Accounts Receivable=Accounts Receivable balance as on June 1, 2022+ Credit sales  -Collected Accounts Receivable

Let plug in the formula

2022 Balance in Accounts Receivable=$18,900+$24,500-$28,500

2022 Balance in Accounts Receivable=$14,900

Inconclusion if at June 1, 2022, Sheffield Corp. had an Accounts Receivable balance of $ 18,900. During the month, the company had credit sales of $

24,500 and collected Accounts Receivable of $ 28,500. The balance in Accounts Receivable at June 30, 2022 will be: $14,900

Learn more here:

https://brainly.com/question/24297448

Answer

x=21

Step-by-step explanation:

1/3+2=1/2x-1.5

2/6x+2=3/6x-1.5

-2/6+1.5 =-2/6x+1.5

3.5=1/6x

----- = -----

1/6      1/6

21

Answer:

The person in the comments was correct it is x=21

Step-by-step explanation:

hope this helps you if not please let me know

Answer:

2.01

Step-by-step explanation:

Answer:

B. 0.210

Step-by-step explanation:

Range is the minimum value subtracted from the maximum value. In this case 0.004 is the smallest value and 0.214 is the largest.

Range = 0.214 - 0.004 = 0.210 = B

The range set of the given data is 0.21.

The given data sets are,

0.004

0.007

0.011

0.011

0.012

0.020

0.200

0.214

We know that,

In statistics, the range is the difference between the highest and lowest values for a given data collection.

For instance,

if the given data set is 2,5,8,10,3, the range is 10 - 2 = 8.

As a result, the range can also be defined as the difference between the highest and lowest observations.

The range of observation is the name given to the outcome. In statistics, the range indicates the dispersion of observations.

Now to find the range set pf the given data,

Subtract minimum value to maximum value

Since maximum value = 0.214

And minimum value     = 0.004

Then range set = 0.214 - 0.004

                          =  0.21

Thus, range of set  ⇒ 0.21

To learn more about statistics visit:

https://brainly.com/question/30765535

#SPJ2

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

a) 24÷12= 2 each person gets 2 cereal bar

b) 24÷6= 4 each person gets 4

c )0 There is no one there

d) Zero is undefined

Answer:

-9.23%

Step-by-step explanation:

.

Answer:

either

Step-by-step explanation:

not sure what your options are, but XYZ & ABC are the same in price per member, so either club is good