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Anna007 [38]
3 years ago
5

A diver jumps up and over from a cliff in order to avoid rocks and land in the deeper water. The path of the dive can be modeled

using the function f(x)=−16x2+2x+48, where f(x) is the height, in feet, of the diver at x time in seconds. What is the maximum height, in feet, the diver will reach? Round your answer to the nearest hundredth if necessary. Do not include units in your answer.
Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

48.06  to the nearest hundredth.

Step-by-step explanation:

f(x) = -16x^2 + 2x + 48

To find the maximum height we convert to vertex form:

= -16(x^2 + 1/8x) + 48

= -16[x + 1/16)^2 - 1/256] + 48

= -16(x + 1.16)^2  + 16/256 + 48

= 48.0625.

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7 0
3 years ago
Elenas bed measures 3‘ x 6‘ on the scale drawing what are the actual measurements of her bed
Sonbull [250]

Using proportions, supposing a scale of 1 inch = 3 feet, the actual measurements of her bed are given by: 9 ft x 18 ft.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations such as multiplication or division, from the relations built in the problem.

One example of application of proportions is for scale problems, as the actual scale and the drawing length are compared to find the actual length of the object drawn.

In the context of this problem, the scale is given by:

1 inch = 3 feet.

The drawn length of the bed is given by:

3 inches x 6 inches.

Hence the actual length is given by:

9 feet x 18 feet.

As:

  • 3 x 3 = 9.
  • 6 x 3 = 18.

<h3>What is the missing information?</h3>

The scale of the drawing is missing, hence we are going to suppose that it is 1 inch = 3 feet.

More can be learned about proportions at brainly.com/question/24372153

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4 0
1 year ago
How do I solve this problem <br> 15 = w + 4
vova2212 [387]

Answer:

w = 11

Step-by-step explanation:

<u>Step 1:  Subtract 4 from both sides</u>

15 = w + 4

15 - 4 = w + 4 - 4

11 = w

Answer: w = 11

3 0
3 years ago
Read 2 more answers
The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?
IrinaVladis [17]
G(x) would involve a translation left 1 and up 1.

g(x) is written in vertex form, which is

g(x) = a(x-h)²+k, where (h, k) is the vertex.  Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9).  Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.
7 0
3 years ago
A jewlery supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57% markup
kirza4 [7]

11. 57% = 0.57

12.  retail price = c + (0.57c)

13.  retail price = 45 + (0.57 x 45)

retail price = 45 + 25.65

retail price = $70.65

14. 57% was added to the original price of the chain which is $25.65

4 0
3 years ago
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