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ipn [44]
3 years ago
15

What is the vertex of the quadratic equation y = - 1/3 (x + 2)^2 +5

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

<h2>(-2, 5)</h2>

Step-by-step explanation:

\text{The vertex form of a quadratic equation:}\\\\y=a(x-h)^2+k\\\\(h,\ k)-vertex\\---------------\\\text{We have:}\\\\y=-\dfrac{1}{3}(x+2)^2+5=-\dfrac{1}{3}(x-(-2))^2+5\Rightarrow h=-2\ \text{and}\ k=5\\\\\text{therefore the vertex is:}\ (-2,\ 5)

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Ms. Peters drove from her home to the park
worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

 From home to park, distance  =speed \cdot time =30 \cdot \frac{1}{3} =10 miles

So , distance between home  and park is 10 miles

Now we calculate the time taken to return from park to home

time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

\frac{1}{4} \cdot 60=15

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0
3 years ago
Sabe-se que no inventário periódico, o registro contábil do estoque de mercadorias ocorrerá apenas no final de um determinado pe
DedPeter [7]

Answer:

It is known that in the periodic inventory, the accounting record of the stock of goods will occur only at the end of a certain period with the physical count of the existing quantities. Consider the following CVM information = 500.00; Initial Inventory = 700.00 and Purchases = 800.00. Applying the concept of periodic inventory and applying the formula for calculating the CMV, determine the value of the final stock.

ALTERNATIVES

Final stock of 2,000.00.

Final stock of 1,500.00.

Final stock of 1,300.00.

Final stock of 1,200.00.

Final stock of 1,000.00.

Final Stock (EF)  = 1,000.00

Step-by-step explanation:

Alternative E -  Final stock of 1,000.00.

Given That,

CMV = 500,00

Initial Stock (EI) = 700.00

Purchases (C) =  800.00

Final Stock (EF)  = ?

Formula

CMV = Initial Stock (EI) + Purchases (C) - Final Stock (EF)

CMV = EI + C - EF

500 = 700 + 800 - EF

500.00 = 700.00 + 800.00 -X

500 = 1500- EF

500.00 = 1,500.00-X

EF = 1500-500

X = 1,000.00

EF = 1,000.00

Therefore, the final stock is 1,000

3 0
3 years ago
The volume, V, of any cube with a side length, s. can be determined using the forma
Tpy6a [65]

Answer:

V=12.167

Step-by-step explanation:

V=s^3

V=2.3x2.3x2.3

V=12.167

Since it is cubic centimeters, then it is written as 12.167cm^2

4 0
3 years ago
The price of an item costs $13 to make. It is marked up $6.50 to sell. What is the percent marked-up
Whitepunk [10]

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The item was marked up by 50%

4 0
3 years ago
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Genrish500 [490]
√(2x+4)=16  square both sides

2x+4=256  subtract 4 from both sides

2x=252  divide both sides by 2

x=126
4 0
3 years ago
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