Answer:
d = -1/3, 0
Step-by-step explanation:
Subtract the constant on the left, take the square root, and solve from there.
(6d +1)^2 + 12 = 13 . . . . given
(6d +1)^2 = 1 . . . . . . . . . .subtract 12
6d +1 = ±√1 . . . . . . . . . . take the square root
6d = -1 ±1 . . . . . . . . . . . .subtract 1
d = (-1 ±1)/6 . . . . . . . . . . divide by 6
d = -1/3, 0
_____
Using a graphing calculator, it is often convenient to write the function so the solutions are at x-intercepts. Here, we can do that by subtracting 13 from both sides:
f(x) = (6x+1)^ +12 -13
We want to solve this for f(x)=0. The solutions are -1/3 and 0, as above.
Answer:
B. The fixed rental for the book
Step-by-step explanation:
Kylie borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Kylie paid for the book when she returned it x days after the due date:
2 + 0.25x
What does the constant term of the expression represent? (1 point)
A. The late fee for the book
B. The fixed rental for the book
C. The number of books borrowed
D. The number of days the book was overdue
Solution
Given expression
2 + 0.25x
The constant term is 2 which represent the fixed rental fee for the book
The term 0.25x represent the amount charged for late fee for x days
$0.25 is charge per day after due date
x = number of due date
Answer:
x . 1 . 3 . 5 . 7 . 9
y . 6 . 18 . 30 . 42 . 54
Step-by-step explanation:
X-values are the odd numbers
Y-values are the corresponding x-values multiplied by 6
Answer:
W (3 , 4) or W (3 . -4)
Step-by-step explanation:
W (3 , y), origin (0 ,0)
WO = √(3-0)²+(y-0)² = √9+y²
WO = 5
√9+y² = 5
9+y² = 25
y² = 16
y = ± 4
W (3 , 4) or W (3 . -4)
Answer:
Choice D
Step-by-step explanation:
QS ≈ TR
they have same direction, sense and magnitude
