Answer:
<h2>9</h2>
Step-by-step explanation:
Step one:
given
Let the number of tests graded be g = 27
time taken t = 3 hours
Required
The constant relating the time and the number of tests
Step two:
<em>"The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another."</em>
so that the direct variation is
g∝kt
g=t/k
k= g/t
k=27/3
k=9
A.) rectangle would be the correct answer
Answer:
x = 9 or x = -21
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 12 x - 189 = 0
The left hand side factors into a product with two terms:
(x - 9) (x + 21) = 0
Split into two equations:
x - 9 = 0 or x + 21 = 0
Add 9 to both sides:
x = 9 or x + 21 = 0
Subtract 21 from both sides:
Answer: x = 9 or x = -21
