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Lesechka [4]
2 years ago
14

Graph. f(x)=2|x+2|+1 Use the Ray tool to graph the absolute value function.

Mathematics
1 answer:
Anna007 [38]2 years ago
3 0

Answer:

|

x

−

2

|

+

1

 is

(

2

,

1

)

Step-by-step explanation:

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A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the
asambeis [7]

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation:  The costs are modeled in the equation y = 12x + 96.  x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96  Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve  for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288

7 0
2 years ago
The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his
steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = \frac{4}{3} \pi r^3

Volume of a rectangular prism = l \times w \times h

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

  • First, find the volume of the basketball:

Volume of ball = \frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\

Volume of basketball = 448.92 $ in^3

  • Convert to ft^3

1728 $ in.^3 = 1 $ ft^3

<em>Therefore,</em>

  • Volume of basketball = \frac{448.92}{1728} = 0.26 $ ft^3

  • Find the volume of the office (rectangular prism):

Volume of the office = 20 \times 18 \times 12 = 4,320 $ ft^3

  • Number of basket ball that will fill the office = Volume of office / volume of basketball

  • <em>Thus:</em>

Number of basket ball that will fill the office = \frac{4,320}{0.26} = 16,615

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

6 0
2 years ago
If the simple interest on ​$6000 for 9 years is ​$​2160, then what is the interest​ rate?
NISA [10]

Step-by-step explanation:

<h2> l=P×R×T</h2><h3> 6000=2160×X/100×9</h3><h3> 6000÷194.4</h3><h2> =30.86%</h2>
5 0
2 years ago
The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
lesantik [10]
  • The U.S. Mint makes commercial circulation coins including commemorative collection's coins including investor bullion coins.
  • In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

\to \bold{|x-5.67|=0.02}\\\\

heaviest\bold{=5.69\ g\\\\}

lighest\bold{=5.65\ g\\\\}

Evaluating the each expression:  

\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}

Learn more:

brainly.com/question/20845315

8 0
3 years ago
McKayla checked out 11 books from the library on Tuesday. On Wednesday, she went back to the library and checked out 23 more boo
tresset_1 [31]

Answer:

i would say about 33 books in total from tuesday to wednesday

Step-by-step explanation:

5 0
2 years ago
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