Answer:
Step-by-step explanation:
Let the age be xy or 10x + y.
Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:
- (10y + x)/3 + 20 = 10x + y
- (10y + x)/3 = 10x + y - 20
- 10y + x = 3(10x + y - 20)
- 10y + x = 30x + 3y - 60
- 30x - x + 3y - 10y = 60
- 29x - 7y = 60
We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.
Possible options for x are:
- 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,
and
- 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.
So x can be 3 or 4.
<h3>If x = 3</h3>
- 29*3 - 7y = 60
- 87 - 7y = 60
- 7y = 27
- y = 27/7, discarded as fraction.
<h3>If x = 4</h3>
- 29*4 - 7y = 60
- 116 - 7y = 60
- 7y = 56
- y = 8
So the age is 48.
Answer: width = 10 ft
Step-by-step explanation:
Area = length × width
Let l be length and w be width
l = w + 4 ........equation (1)
From above formula
140 = l × w. ........equation (2)
Substitute equation (1) into equation (2)
140 = (w+4) × w
w^2 + 4w= 140
w^2 + 4w - 140= 0
By factorization method
(w+14)(w-10)= 0
w=-14 or w= 10
So now width is 10 ft
From equation(1)
l=w+4
l= 10+4
l= 14 ft
Width = 10 ft and length = 14 ft
Answer:
(3rd listed choice) Paula's notes are incorrect. Step 4a should be "If the result does not define y as a function of x, then f does not have an inverse," and step 4b should be "If the result defines y as a function of x, then f has an inverse."
Step-by-step explanation:
If f(y) = x can be solved for a relation for y that is a function, then f(x) has an inverse. It will be the function defined by y.
Answer:
i think it is a but not shour
Step-by-step explanation:
Because 1/3 is equal to 2/6 which is greater than 1/6
