Answer:
Step-by-step explanation:
a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23
so a= -2 ,b= -23
b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=
2+V69/9=2+V23/3
c=2, d= 23/3
The equation in slope-intercept form to represent the relationship between hours worked (x) and earnings in dollars (y) is y = $5 + $15x.
An equation in slope intercept form is usually written as: y = mx + b
Where:
If I earn $15 per hour when I babysit, the amount I earn increases by $15 every hour. $15 is the slope of the equation. After 3 hours, the total amount I would earn is: $15 x 5 = $45.
In order to determine the intercept, subtract $45 from $50.
$50 - $45 = $5.
A similar question was solved here: brainly.com/question/15355500
Answer:
The amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
Step-by-step explanation:
Let x be the amount in the account at 12% interest
So, 6000-x is the amount in the second account at 7% interest

First account:
Second account : 
We are given that At the end of the first year he had earned $590 in interest.
So, 
So,the amount in the account at 12% interest is $3400
The amount in the second account at 7% interest =6000-x=6000-3400=2600
Hence the amount in the account at 12% interest is $3400 and the amount in the second account at 7% interest is $2600
There is only one way, a rectangle that is one block by 17 blocks. This is because the only factors of 17 are 1 and 17.
Answer:
170
Step-by-step explanation:
There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.