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DochEvi [55]
3 years ago
11

5 consecutive integers of 265

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0
N+n+1+n+2+n+3+n+4=265

5n+10=265

5n=255

n=51

So the integers are:

51,52,53,54, and 55
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Describe the transformation of f(x) to g(x)
gulaghasi [49]

Answer:

D. f(x) is shifted up 1 unit to g(x).

Step-by-step explanation:

Just let's look at the y-intercept of each function.

f(0) = 0

g(0) = 1

Also remember that a vertical shift of N units is written as:

g(x) = f(x) + N

where if N is positive, the shift is upwards, and if N is negative, the shift is downwards.

then we can write, for the particular value x = 0

g(0) = f(0) + N

replacing the values

1 = 0 + N

1 = N

Then N is positive, so we have a shift up of one unit.

The correct option is:

D. f(x) is shifted up 1 unit to g(x).

6 0
2 years ago
14.
Readme [11.4K]

The domain is t=0 to t=3.2  and range is y = 0 to 57.125 feet.

<u>What are Domain and range of a Function?</u>

  • The range of values that we are permitted to enter into our function is known as the domain of a function.
  • The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
  • After we enter an x value, the function outputs this sequence of values. The y values are those.
  • A function can be compared to a piece of equipment on an assembly line.
  • A few screws and nuts are located on one end of the assembly line, while a car is located on the other. The function is the device in the center. The domain is the screws and bolts that we insert into the machine. The car at the other can be thought of as the range.

Given function is : y = -16t^2 + 50t + 4

It hits the ground when y=0

0 = -16t^2 + 50t + 4

8t^2 -25t -2 = 0

t = 25/16 + (1/16)sqrt(625+64) = (25+26.25)/16 = 51.25/16 = 3.2 seconds

domain is t=0 to t=3.2  [3.2]

take the derivative and set it equal to zero to find maximum height

-32t +50 = 0

t = 50/32 = 25/16 = 1.5625 seconds

-16(25/16) + 50(25/16) + 4 = 34(25/16) + 64/16 = (17(25)+32)/8 = 57.125 = maximum height

range is y = 0 to 57.125 feet.   the discus goes from 4 feet to 57 1/8 feet and back down to 0 feet.

Know more about Domain and Range with the help of the given link:

brainly.com/question/20349151

#SPJ4

8 0
2 years ago
Describe the transformation from y= x + 4 to y= .5x + 4 Group of answer choices compresses stretches shifts right 4 shifts left
Nina [5.8K]

Answer:

This type of transformation is a horizontal stretch.

<em></em>

Step-by-step explanation:

Given

y = x + 4

y = .5x + 4

Required

Determine the type of transformation

The first function can be expressed as:

f(x) = x + 4

While the second function is:

g(x) = f(0.5x)

Solving f(0.5x), we have to substitute 0.5x for x in f(x) = x + 4

f(0.5x) = 0.5x + 4

So:

The second function is:

g(x) = 0.5x + 4

<em>This type of transformation is a horizontal stretch.</em>

<em></em>

<em>i.e. f(x) stretched to g(x)</em>

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Answer:

GURL MY MATH TEACHER GAVE ME THE SAME SHEET A MONTH AGOO

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12.75 x 2 plus 13 x 3 plus 13.25 x 4 plus 13.5 x 3 PLEASE HELPPP QWICKKKK
Leona [35]

Answer:

158

Step-by-step explanation:

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