(3x2+xy-5y2) + (2x2-xy+3y2)
Dh

5x² - 2y²

Step-by-step explanation:

(3x² + xy - 5y²) + (2x² - xy + 3y²)

since you are adding these polynomials, you can remove the parentheses without changing any signs

3x² + xy - 5y² + 2x² - xy + 3y²

align like terms next to each other

3x² + 2x² - 5y² + 3y² + xy - xy

combine like terms

5x² - 2y²

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;