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UNO [17]
3 years ago
14

What is the standard form of this function? F(x) = -(x-4)^2 + 2

Mathematics
2 answers:
Marysya12 [62]3 years ago
4 0

Answer:

f (x) = -2 (x + 6)^2 + 2

Step-by-step explanation:

f (x) = -2x^2 - 24x - 70 <--- divide out -2 out of the first two terms...

f (x) = -2 (x^2 + 12x) - 70 <-- divide the x coefficient by 2 and then square it, then add AND subtract it)  

f (x) = -2 (x^2 + 12x + (12/2)^2 - (12/2)^2) - 70  

f (x) = -2 (x^2 + 12x + 36 - 36) - 70 <--- distribute the -2 onto -36 to get it out of the brackets..  

f (x) = -2 (x^2 + 12x + 36) + 72 - 70 <-- combine constants and factor perfect square trinomial...  

f (x) = -2 (x + 6)^2 + 2 <-- standard form...

Ne4ueva [31]3 years ago
4 0

Answer: f(x) = -x^2 + 8x − 14

Step-by-step explanation:

just took the test.

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The diameter of a cone is X cm the height is 18 cm mThe The height is 18 cm and the volume is 301.44 cm what is x
HACTEHA [7]
The volume of a cone is V=(1/3)(area of the base)(height)= (1/3)(pi*r^2)(h)
r^2= (d/2)^2 = (d^2)/4. Given: V= 301.44cm^3 and h= 18cm.
r^2= V/[(1/3)(pi)(h)]
r^2= 3V/(pi)(h)
(d^2)/4= 3(301.44)/(3.14)(18)
d^2= 12(301.44)/(3.14)(18)
d^2= 63.967
d= 7.997
d~= 8cm.
4 0
3 years ago
What is the present value of $4,900 per year at a discount rate of 10 percent if the first payment is received 6 years from now
Nesterboy [21]

Answer:

17640

Step-by-step explanation:

at a discount of 10% per year $4900 is equal to $490 per year

payment started 6 years ago from now and ended 20 years from now

therefore there is an accumulation of 26 years

for 26 years = 26 *$490= $12740

present value therefore = $4900+$12740=$ 17640

4 0
2 years ago
Find the area of parallelogram
Alika [10]

Answer:

45m

Step-by-step explanation:

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5 0
2 years ago
Which of the following best defines the quantities that should be measured to find Andy's driving speed? The quantity of time me
chubhunter [2.5K]

The quantity of distance measures in miles depends on the quantity of time measured in hours. is your best choice.

The quantity of time is an independent variable, as it continues to go no matter how much you travel, and so it is the independent.

The quantity of distance depends on your speed and time, and because it depends on these two factors, it is the dependent.

hope this helps

6 0
2 years ago
Read 2 more answers
Jose has -75 points. He wins 200 points;then he loses 25 points. How many points does he have now?
Sav [38]

Answer:

100 points

Step-by-step explanation:

-75 + 200 = 125

125 - 25 = 100

3 0
2 years ago
Read 2 more answers
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