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vredina [299]
3 years ago
7

The distance (in miles) traveled by a cyclist is given by d(t) = 5t, where t is the time in seconds. The domain of the function

includes
a- all real numbers that are perfect squares
b- all positive real numbers and zero
c- all real numbers other than 5
d- all real numbers
Mathematics
2 answers:
Ivahew [28]3 years ago
5 0
Answer: option b - all positive real numbers and zero.

The only restriction is that the time cannot be negative (and of course, it has to be a real number, not imaginary).
ASHA 777 [7]3 years ago
4 0

Answer:

b. All positive  real numbers and zero

Step-by-step explanation:

We are given that  the distance traveled by a cyclist is given by

d(t)=5t

Where t=Time in seconds

We have to find the domain  of the function .

We know that distance is always positive.

Given function is linear function .

We know that domain of linear function is set of all real numbers.

But t is time and t is always positive.

Therefore, domain of function includes  all positive real numbers and zero.

Answer: b. All  positive real numbers and zero.

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Lines l and m are parallel
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Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

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3 years ago
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Answer:

Step-by-step explanation:

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3x^3+6x^2+9xy^2 = 3x(x^2+2x+3y^2)

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A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
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Grapefruit=108

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b) (108-90)/108= 18/108*100=16 2/3%

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3 years ago
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what equations best represents the problem? You drove for 425 miles at 60 mph. How long did it take you?
Kisachek [45]
If you drove for 425 miles at 60 mph, you would get there in 7 hours and 8-ish minutes. 425 divided by 60 is 7.08333333333333.
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If you vertically compress the absolute value parent function, f(x) = x1, by a
777dan777 [17]

Answer:

Step-by-step explanation:

We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.

If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.

We have below conditions for vertical stretch and compression.

a > 1 => vertically stretch

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Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3

Therefore, the equation for new function is

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