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BabaBlast [244]
2 years ago
3

A ball is thrown straight up from a height of 3 ft with a speed of 32ft/s. It’s height above the ground after x seconds is given

by the quadratic function y=-16x^2+32x+3
Explain the steps you would use to determine the path of the ball in terms of a transformation of the graph of y=X^2.
Mathematics
1 answer:
Virty [35]2 years ago
6 0

Answer:

Sample Response/Explanation: Complete the square to get the equation in vertex form with  a = -16, h = 1, and k = 19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.

Step-by-step explanation:

You might be interested in
The gas tank in felizs car is 5/6 full each time he drives to or from work he uses 1/12 of a full tank of gas which equation rep
Illusion [34]

Answer:

\frac{1}{12}x = \frac{5}{6}\\  \\

Step-by-step explanation:

<u>Given:</u>

  • Volume of fuel = 5/6
  • Volume of fuel used each time = 1/12
  • Number of travels to or from work = x

<u>Since each time 1/12 of the tank is used, and initial volume is 5/6 of the tank, the equation will be:</u>

  • \frac{1}{12}x = \frac{5}{6}\\  \\

<u>Solving the equation we get:</u>

  • x = \frac{5}{6}÷\frac{1}{12}
  • x = \frac{5}{6} × 12
  • x = 10

So Felitz can travel 10 times to/from work with 5/6 full tank

3 0
2 years ago
a package shaped like a cube has an edge that is 28 cm long. How much space is available to pack inside your box?
Tema [17]
Answer: 21,952 cm³


Explanation:

Volume = 28 x 28 x 28 = 29 152 cm³

7 0
2 years ago
By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?
Alika [10]

Answer: 18. 75

Step-by-step explanation:

plz follow my table format here i will be delighted to share

cp  percent  fraction   sp

          -12         88/100  16. 50

100*16.50 /88= 18.75

7 0
2 years ago
The amount of money that is left in a medical savings account is expressed by the equation y = negative 24 x + 379, where x repr
Alekssandra [29.7K]

67  = -24x + 379\\

Subtract 379 from both sides.

that gives us: -312 = -24x

divide both sides by -24 which equals: x = 13.

13 weeks

3 0
2 years ago
The parallel boxplots below display the weights of bags of two different brands, A and B, of granola.
KiRa [710]

Answer:

A. The bag weights for brand A have less variability than the bag weights for brand B.

Step-by-step explanation:

In a box plot display, measure of variability can be determined by the length of the rectangular box or/and by the length of the whiskers.

The longer or greater the length, the more the variability the data set has. The shorter or smaller the length, the lesser the variability.

The box plot display of Brand A has shorter rectangular box and a shorter whisker length compared to the box plot display of Brand B. Therefore, it can be concluded that: bag weights for Brand A have less variability compared to bag weights for Brand B.

The correct statement of comparison is:

"A. The bag weights for brand A have less variability than the bag weights for brand B."

Option B is incorrect. Bag weights for Brand A do not have more variability than those of Brand B.

Option C and option D are both incorrect. Neither an outlier nor range can be used to represent or describe "typical value" for a given data set.

Typical bag weights can be well represented or described by average bag weights or median weight of the data set.

6 0
2 years ago
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