X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
Answer:
I am trying to do the same it's so HARD
Answer:
Mean: 21
Median: 23
Mode: 27
Step-by-step explanation:
order from least to greatest:
1, 15, 18, 22, 23, 25, 27, 27, 31
mean: add all the numbers and divide by 9 bc thats how many numbers there are so that means the answer is
21
Median: to find the median you order the numbers from least to greatest and find out the middle number so in that case the median is 23
Mode: to find the mode you look to see what number is repeated multiple times, so the mode is 27
You need a ruler and a pencil. Oh and paper. Make sure that each side is equal to 4 inches. Then make a scale of 1:12, meaning 1 inch=1 foot.
This is the distributive property; you're taking the 10 and giving it, or distributing it, to the 4 and the 3. the best way to remember it on sight is just thinking about what "distributing" means.
