Y=x² +14x +48
y-48 = x² +14x
y-48+7² = x² +2*7*x +7²
y-48+49 = (x+7)²
y+1= (x+7)²
y=(x+7)² - 1
Vertex of the function is (-7,-1). Minimum value of this function is a vertex value , because parabola directed up.
Step-by-step explanation:
1.) Plug in one of the points.
y = 8x + b
6 = 8(4) + b
2.) Solve for b (or [?])

32 cancels out on the right side.
Subtract 32 from 6, which is -26
3.) -26 = b
4.) Check with other point:
-2 = 8(3) + b
-2 = 24 + b
Cancel out 24 on the right side: 24-24 = 0
-2 - 24 = -26
-26 = b
The linear equation to model the company's monthly expenses is y = 2.5x + 3650
<em><u>Solution:</u></em>
Let "x" be the units produced in a month
It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.
Cost per unit = $ 2.50
The company has monthly operating expenses of $350 for utilities and $3300 for salaries
We have to write the linear equation
The linear equation to model the company's monthly expenses in the form of:
y = mx + b
Cost per unit = $ 2.50
Monthly Expenses = $ 350 for utilities and $ 3300 for salaries
Let "y" be the total monthly expenses per month
Then,
Total expenses = Cost per unit(number of units) + Monthly Expenses

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650
Can you please translate this so I can answer your question
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:
400 = 1000m + b (1)
Also:
300 = 500m + b (2)
Hence:
m = 0.2 = 20%, b = $200
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
Find out more on equation at: brainly.com/question/2972832