1.
A toy store is preparing for the
winter holiday season. The
manager is reviewing the current
inventory and comparing it to the
forecasted inventory needed that
is based on last year's sales.
What is the forecasted need for
board games?
Toy Inventory, 2016

Answer:

(3x - y + 2)(3x + y - 2).

Step-by-step explanation:

9x^2 - y^2 + 4y - 4​

= 9x^2 - (y^2 - 4y + 4)

= 9x^2 - (y - 2)^2

= (3x - (y - 2))(3x + (y - 2)

= (3x - y + 2)(3x + y - 2).

Answer:

I like lots of chips!

Step-by-step explanation:

Answer:

70.5 it is the answer. I hope I am helpful please mark brainlist

Answer:  i think it is 45.2

Step-by-step explanation:

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

Answer:

The dimensions that will give the largest printed area of 132.1669 in^2 are

= Length x Width

= 15.20829 * 8.69045

Step-by-step explanation:

a) Data and Calculations:

Total poster area = 200 in^2

Side margins = 1 inch each

Top and bottom margins = 2 inches each

Let x = length of the full poster

then 200/x = width of the full poster

Therefore, the length of the printed area = x - 3.5

and the width of the printed area = (200/x)-2

Therefore, the Area of the Printed space = (x-3.5)((200/x)-2)

Solving for the Area (A) of the printed space, we have

A = (x-3.5)(-200/x2) + ((200/x)-2)

A = 700 -2x2

If the derivative is set to 0, we have:

0 = 700 -2x2

700 = 2x2

350 = x2

x = 18.70829  The original length

width = 10.69045

Therefore, the area of space available for printing is

15.20829  *  8.69045

= 132.1669 in^2

Answer:

Grams

Step-by-step explanation:

Mass is the amount of matter present inside a solid. Kilograms and grams are the units to measure mass of an object.

For pencil, the unit to measure its mass is grams. As its mass is less, we can use smaller unit.

Hence, the correct option is (c) "grams"

Answer:

-6

Step-by-step explanation:

Let the first, second and third number be x, y and z respectively.

We are told that the second number is subtracted from the sum of the first number and 3 times the third number, the result is 2.

Thus;

(x + 3z) - y = 2 - - - (eq 1)

The third number plus 3 times the first number is -1.

Thus;

z + 3x = -1 - - - (eq 2)

The first number plus 3 times the second number plus the third number is -16.

Thus;

x + 3y + z = -16 - - - (eq 3)

From eq 2, we can rearrange to get;

z = -1 - 3x

Putting -1 - 3x for z in eq(1) and (eq 3),we have;

(x + 3(-1 - 3x)) - y = 2

x -3 - 9x - y = 2

-8x - y = 2 + 3

-8x - y = 5

y = -5 - 8x

Putting y = -5 - 8x and z = -1 - 3x into eq(3), we have;

x + 3(-5 - 8x) + (-1 - 3x) = -16

x - 15 - 24x - 1 - 3x = -16

-26x - 16 = -16

-26x = 16 + 16

x = 0

Since y = -5 - 8x, then y = -5 - 8(0)

y = - 5

Also, since z = -1 - 3x, then;

z = -1 - 3(0)

z = -1

The sum of the three numbers are;

x + y + z = 0 + (-5) + (-1) = -6

Answer:

16

Step-by-step explanation:

(x-8)^2 + (y-4)^2= 16

Answer:

[tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex]

Step-by-step explanation:

We need to find the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex]

We can solve it as follows :

[tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))\\\\=(\dfrac{x+3x-2x}{4})+1-\dfrac{2}{3}\\\\=\dfrac{2x}{4}+\dfrac{1}{3}\\\\=\dfrac{x}{2}+\dfrac{1}{3}[/tex]

Hence, the value of [tex]((\dfrac{1}{4}x+\dfrac{3}{4}x-\dfrac{1}{2}x)+1+(\dfrac{-2}{3}))[/tex] is equal to [tex]\dfrac{x}{2}+\dfrac{1}{3}[/tex].

Answer:

y = 6

x = 5

Step-by-step explanation:

-6x + 6y = 6

-6x + 3y = - 12

Multiply the second equation by -1, then add the equations;

-6x + 6y = 6

6x - 3y = 12

___________

3y = 18

/3     /3

y = 6

x = 5

Answer:

[tex]\frac{9}{13}[/tex]

Step-by-step explanation:

1. the formula is: p=(number_of_numbered_cards)/(total_number_of_cards);

2. the number of total numbers of the cards is 52 (according to the condition); the number of the numbered cards is:

4*(10-2+1)=36 (min is '2'; max is '10').

3. after the substitution:

p=36/52=9/13≈0.692

Answer:

Step-by-step explanation:

[tex] \frac{5a + 15b}{5 } [/tex]

[tex] \frac{5a}{5} + \frac{15b}{5} [/tex]

[tex]a + 3b[/tex]

Answer:

h(t)=3/2t+59

h(t)=2/3(15)+64                        h(t)=2/3(30)+64

74=  10+64                              84=20+64

74=74                                      84=84

Answer:

6

Step-by-step explanation:

752/800=0.94

0.94x100=94

100-94=6

The percent error, to the nearest percent, of the estimate is 6%

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

Given:

Expected value = 800

Actual value = 752

Now, Percent error

Computation;

Percent error = [(Actual value - Expected value)/Expected value]100

= [(800 -752) / 800]100

= 6%

Therefore, the percentage error will be 6%

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ5

Answer:

(2)

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (1, - 2) with y- coordinate - 2, thus

y = - 2 ← is the equation of the line

Answer:

You should always believe in yourself no matter what. Make that be a lesson for everyone in your community!

Step-by-step explanation:

Answer:

personally, no. but if you are looking for an answer to be graded, say something positive. ¨i believe in myself right now because i have been (insert something positive). ¨

Step-by-step explanation:

i hope this has helped

Answer:

<AEB and <CED are congruent by vertical angles theorem.

Step-by-step explanation:

Given that AB and CD are parallel bro each other, and two straight lines intersect at E, therefore, <AEB and <CED that are formed are congruent to each other because they are vertical opposite angles.

Thus, the answer would be:

<AEB and <CED are congruent by vertical angles theorem.

Answer:

-9.1r + 3.9

Step-by-step explanation:

-6.2r - 4.6 -2.9r + 8.5

-6.2r and -2.9r are alike, so we combine.

-6.2r + -2.9r = -9.1r

-4.6 and 8.5 are alike, so we combine.

-4.6 + 8.5 = 3.9

Answer:

8 X 10^(9)

Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

8P1 X .......

In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

8P1 X 10P1 X 10P1 X...

Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

Very interesting question, thanks for the opportunity!

The number of  different phone numbers in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Since

we have 10 digit phone numbers that does not include the area code.

So,

For each face value we have these in store:

0,1,2,3,4,5,6,7,8,9 (total 10)

Now

if we exclude 1 and 0 for the first digit, So it left with 8 digits.

So, it be like

8P1 X .......

Likewise

8P1 X 10P1 X 10P1 X...

Now if add this,

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

hence, The number of  different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1 should be considered as the [tex]8 \times 10^{(9)}[/tex]

Learn more about number here: https://brainly.com/question/11318214

Answer:

CROSS JOIN  (/^\s*symmetric\s*difference\s*$/)

Step-by-step explanation:

Remember, in SQL (Structured Query Language) operations, we can use the CROSS JOIN function to take data from one row of a table in the database and join it with each row of another table.

In other words, the result of FULL OUTER JOIN minus the INNER JOIN of the data set would require a CROSS JOIN operation which would the two different rows into one row.

Answer:

19.209 miles from each other.

Step-by-step explanation:

[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]

Using this we get:

[tex] {15}^{2} + {12}^{2} = {x}^{2} [/tex]

[tex]225 + 144 = 369 = {x}^{2} [/tex]

[tex] \sqrt{369 } = 19.209[/tex]

Step-by-step explanation:

Given

f(x) = 2x + 6

g(x) = 3x²

f(g(-3)) = ?

Now

g(-3) = 3 * (-3)²

= 3* 9

=27

Also,

f(g(-3)) = f(27)

= 2* 27 + 6

= 60

Hope it helps :)

Answer:

-7/3, 0.5, 2/3, 3/4, 1.2 valued least to greatest

Step-by-step explanation:

-7/3 is negative then 0.5 then 2/3 is .6666 as a decimal then 3/4 which is .75 as a decimal and then 1.2