Answer:

Step-by-step explanation:
we are given equation as

Since, we have to solve it by using complete square
so, firstly we will complete square
and then we can solve for x
step-1:
Factor 2 from both sides

step-2:
Simplify it

step-3:
Add both sides 3^2

now, we can complete square

step-4:
Take sqrt both sides

step-5:
Add both sides by 3
we get

Average reading score is given by the expression,
y = 0.153x + 255.4
Here, x in the number of years past 1970.
To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.
y = 0.153x + 255.4
259.378 = 0.153(x) + 255.4
0.153x = 259.378 - 255.4
0.153x = 3.978
x = 
x = 26
That means given average reading score 259.378 will be 26 years after 1970.
Therefore, 1996 is the year in which the average reading score will be 259.378.
Learn more,
brainly.com/question/2883790
Medicare
Social Security
Health Insurance
The number of days that Aubrey can drive to stay in her budget is 5 days.
<h3>Inequality signs and their meanings</h3>
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
<h3>Equation that represents the question</h3>
Total amount that can be spent ≤ (cost to rent a car per day x number of days) + (cost per mile x total miles driven)
$130 ≤ ($22.15 x dd) + ($0.07 x 275)
<h3>Determination of the number of days that Aubrey can drive</h3>
130 ≤ ($22.15dd) + ($0.07 x 275)
130 ≤ $22.15dd + 19.25
130 - 19.25 ≤ $22.15dd
110.75 ≤ 22.15d
d ≤ 110.75 / 22.15
d ≤ 5
To learn more about inequality, please check: brainly.com/question/5031619
The graph is shown in the attached image.