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Fantom [35]
2 years ago
13

Find the vertex of this parabola.

Mathematics
1 answer:
Rashid [163]2 years ago
4 0

Answer:

The vertex of this parabola is (1, 14).

Step-by-step explanation:

To find the vertex of this parabola, one approach is to determine the equation of the axis of symmetry:  evaluate x = -b / (2a), where a, b and c are the coefficients of the x^2, x and x^0 terms respectively.

Here a = -2, b = 4 and c = 12.

Thus, the axis of symmetry is x = -4 / (2· -2), or x = 1.

The function value at x = 1 is   y = -2(1)^2 + 4(1) + 12, or  y = -2 + 4 + 12 = 14.

The vertex of this parabola is (1, 14).

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Write the rule for this pattern 1, 2, 4, 7, 11
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I'm not sure how to write the rule, but every time you add one more to the sum of the last two. First, you add 1, then 2, then 3. 1+1=2 2+2=4 4+3=7 7+4=11 and so on. I hope this helps!
7 0
3 years ago
Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your th
RideAnS [48]

Answer:

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Step-by-step explanation:

Lets solve!

We have to find out how much of the candle needs to be burned!

14cm - 6cm = 8cm

The candle must burn 8cm in 4 hours!

Lets find out how much the candle burns in 1 hour.

\frac{8cm}{4hours}= 2cm per hour

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Woohoo, We did it! <u>Would you like to mark my answer as brainliest?</u> I would love that!

6 0
3 years ago
Jamie has 365,987,784 dollars and 365,987,784 trees add them up and divide your total by 567,789,123,432,765,654,345 what's your
il63 [147K]
365,987,784+<span>365,987,784 
</span>731975568/<span>567,789,123,432,765,654,345
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6 0
2 years ago
Read 2 more answers
Sue Mitchell weighed 8 lb. 13 oz. when she was born. She now weighs 93 lb. 5
ra1l [238]

Answer:

Weight gain = 84 lb 5 oz

Average weight gain = 6 lb 5 oz

Step-by-step explanation:

lb means pounds

16 oz = 1 pound

Convert the weight to pounds

Weight when she was born = 8 lb. 13 oz

= 8 pounds + 0.8125 pounds

= 8.8125 pounds

Present weight = 93 lb. 5

oz

= 93 pounds + 0.3125 pounds

= 93.3125 pounds

How much has she gained since birth

Weight gain = Present weight - Weight when she was born

= 93.3125 pounds - 8.8125 pounds

= 84.5 pounds

= 84 lb 5 oz

Weight gain = 84 lb 5 oz

what has been her average weight for each year if she is 13 year old

Average weight gain = Weight gain / 13

= 84.5 pounds / 13

= 6.5 pounds

= 6 lb 5 oz

Average weight gain = 6 lb 5 oz

8 0
2 years ago
4 red balls 4 white balls what is the probability of drawing at least 1 red ball if two balls are drawn
vodomira [7]
The probability of drawing exactly one red ball is given by:
P(1\ red\ ball)=\frac{4C1\times4C1}{8C2}=\frac{16}{28}
the probability of drawing two red balls is given by:
P(2\ red\ balls)=\frac{4C2\times4C0}{8C2}=\frac{6}{28}
The probability of drawing at least one red ball is:
P(1 red ball) + P(2 red balls) = 16/28 + 6/28 = 11/14.
 The answer is \ \frac{11}{14}

7 0
3 years ago
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