We can use the vertex form of a quadratic,

, to find that

. Plugging

ordered pairs into g(x), we see that a = 1. For example, for

,

. Solving for a gives 1.
Answer:
see below
Step-by-step explanation:
First determine how much is subtracted from the account
12.57+24.95+36.86 =74.38
They charge .15 per check=3*.15 = .45
Subtract the amounts of the checks and the check fees
139.50-74.38-.45 =64.67
That is called square root
Answer:
y = 3x + 23 and

Step-by-step explanation:
The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.
Now, 9x - 3y = - 69
⇒ 3x - y = - 23 {Dividing both sides by 3}
⇒ 3x + 23 = y
⇒ y = 3x + 23 {Interchanging the sides} (Answer)
The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.
Now, x - 3y = - 6
⇒ x + 6 = 3y
⇒ 3y = x + 6 {Interchanging the sides}
⇒
{Dividing both sides by 3}
⇒
(Answer)
Gas mileage = 30.5 mi/gal
Volume of gas = 1.5 l
Note that 1 liter = 0.264172 gallons
Therefore
1.5 l = (1.5 l)*(0.264172 gal/l) = 0.3963 gal
Distance traveled is (Gas mileage, mi/gal)*(Gal of gas)
= (30.5)(0.3963) = 12.087 mi
Answer: 12 mi (nearest integer)