Answer: The vertical stretch of 5 in the equation y = x is defined by 
.
Explanation:
The given equation is,
It can be written as,
The function is defined as 
.
If 
, then the function has a vertical stretch by a factor of S units.
If 
, then the function has a vertical shrink by a factor of S units.
Since we have to find the vertical stretch of 5 in the equation y = x.
The below figure shows the graph of y = x and .
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Answer:
(a) false
(b) true
(c) true
(d) true
(e) false
(f) true
(g) false
(h) true
(i) true
Step-by-step explanation:
(a) 15 ⊂ A, since 15 is not a set, but an element, we cannot say of an element to be subset of a set. False
(b) {15} ⊂ A The subset {15} is a subset of A, since every element of {15}, that is 15, belongs to A.
15 ∈ {15} and 15 ∈ { x ∈ Z: x is an integer multiple of 3 } 15 is an integer multiple of 3. since 15/3=5. True
(c)∅ ⊂ A
∅ is a subset of any set. True
(d) A ⊆ A
A is a subset of itself. True
(e)∅ ∈ B
∅ is not an element, it is a subset, so it does not belong to any set. False
(f)A is an infinite set.
Yes, there are infinite integers multiple of 3. True
(g)B is a finite set.
No, there are infinite integers that are perfect squares. False
(h)|E| = 3
The number of elements that belong to E are 3. True
(i)|E| = |F|
The number of elements that belong to F are 3. So is the number of elements of E. True
Answer:
Revolution = 127.24 revolutions
Step-by-step explanation:
<em><u>Circumference of the tire = πD</u></em>
Where D = 15 inch
So,
C = 15π = 47.1 inch
<u><em>In feets:</em></u>
47.1 inch = 3.93 feet.
So, <u>one revolution = 3.93 feet</u>
<u><em>Travelling 500 feet will make the following revolutions:</em></u>
Revolution = 500 feet/3.93 feet
Revolution = 127.24 revolutions
