All the roots of \[x^2 + px + q = 0\]are real, where $p$ and $q$ are real numbers. Prove that all the roots of
\[x^2 + px + q + (x + a)(2x + p) = 0\]are real, for any real number $a.$

452,489 to the nearest thousand is 452,000

answer: about 22.67

step-by-step explanation:

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: