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melomori [17]
3 years ago
8

Bella went to a carnival and played a game that involved throwing a basketball into a moving basket. She had two minutes to make

as many baskets as she could, and she made 12 baskets before time ran out. When she was done, she earned 2 points for each basket she made. At the prize counter, Bella was able to buy one prize for every 4 points she earned.
How many prizes was Bella able to buy? Show your work.
Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

Answer:

6

Step-by-step explanation:

12*2=24 24/4=6

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7 0
3 years ago
Divide using polynomial long division<br><br>(3x2 - 11x - 26) = (x - 5)​
julsineya [31]

Answer:

.

Step-by-step explanation:

8 0
3 years ago
Need help on these !! 13 and 14! Please!!
katen-ka-za [31]

Question # 13

Answer:

The required equation for the given function is <em>y = 4sin(x/2+2π/3) -2 , as shown attached graph diagram.</em>

<em>Step-by-step explanation: </em>

As the general sine function is given by

y=asin(bx+c)+d.......[A]

  • amplitude = a
  • period = 2π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • amplitude = a = 4
  • period = 4π
  • phase shift = -4π/3
  • Vertical shift = d = -2

As  

period = 2π ÷ b  

b = 2π/period

b = 2π/4π ∵ period = 4π

b = 1/2  

Also

Phase shift = -c/b

-4π/3 = -c/b ∵ phase shift = -4π/3

4π/3 = c/b  

c = b × 4π/3  

c = 1/2 × 4π/3  

c = 4π/6  

c = 2π/3

So, putting Amplitude ⇒ a = 4, Vertical shift ⇒ d = -2, b = 1/2 ,  

and c = 2π/3 in Equation [A] would bring us the required equation for the given function.

y=asin(bx+c)+d

y = 4sin(x/2+2π/3)+(-2)

y = 4sin(x/2+2π/3) -2            

<em>Note: The graph is also shown in attached diagram.</em>

                                             Question # 14

<em>Answer:</em>

The required equation for the given function is y = cot(x+π/3)+2, as shown in attached graph diagram.

<em>Step-by-step explanation: </em>

As the general cotangent function is given by

y=acot(bx+c)+d.......[A]

  • amplitude = a
  • period = π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • period = π
  • phase shift = -π/3
  • Vertical shift = d = 2

As  

period = π ÷ b  

b = π/period

b = π/π ∵ period = 4π

b = 1  

Also

Phase shift = -c/b

-π/3 = -c/b ∵ phase shift = -π/3

π/3 = c/b  

c = b × π/3  

c = 1 × π/3  

c = π/3

So, putting vertical shift ⇒ d = 2, b = 1 and   c = π/3 in Equation [A] would bring us the required equation for the given function.

y=acot(bx+c)+d

y = cot(x+π/3)+2

<em>Note: The graph is also shown in attached diagram.</em>

Keywords: amplitude, period , phase shift , vertical shift

Learn more about trigonometric functions of equations from brainly.com/question/2643311

#learnwithBrainly

7 0
3 years ago
The perimeter of a rectangular pool is 306m. If the length of the pool is 87m, what is its width?
s344n2d4d5 [400]

Answer: the width is 66

Step-by-step explanation: see if 87m  is the width then you add it twice  it equals 174 then you subtract it from 306m which equals 132 but since theres two sides you divide it to get 66                Hope this help happy Easter!!  c:

4 0
3 years ago
To obtain an average (arithmetic mean) of exactly 2/3, what fraction must be added to 1/6, 1/2, and 1/3?
ollegr [7]

Answer:

D. 5/3

Step-by-step explanation:

\frac{1/6+1/2+1/3+x}{4} =2/3

1/6+1/2+1/3+x=8/3

x=8/3-1/6-1/2-1/3

x=8/3-1/6-3/6-2/6

x=8/3-6/6

x=16/6-6/6=10/6

simplified

x=5/3

Hope this helps

3 0
1 year ago
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