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:
The answer is 4.2 kilograms of dog food
Step-by-step explanation:
it says that ray feeds his dog 0.12 kilogram of food each day
he needs for 1 month
1 month = 31 days or 30 days
since 1 day food is 0.12 kilograms you'll have to multiply 0.12 with 1 month
i.e; 0.12*31 or 0.12*30
0.12*31=3.72 and 0.12*30=3.6
since we don't have an option we'll have to choose something bigger than this
therefore, the answer is 4.2
(1/4)=0.25
0.25*0.25*0.25=0.015625
Answer:
20.
Step-by-step explanation:
That's the correct answer
