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:
5.4
Step-by-step explanation:
To find the distance between each pair of points, we use the distance formula, which is:
d = 
So we have
When we plug in the values into the formula we get:
d = 
d = 
Answer:
0.20%
Step-by-step explanation:
I think, I'm not sure on
Answer:
a) Given expression,
12% of 312
Since 100% of 312 = 312
⇒ 10% of 312 = 31.2,
⇒ 1% = 3.12
⇒ 2% = 2 × 3.12 = 6.24
So, 12% of 312 = 10% of 312 + 2% of 312
= 31.2 + 6.24
= 37.44
b) Given,
Total number of servings = 312,
The percentage of vitamin C in each serving = 12%,
Thus, the total amount of the vitamin C in 312 servings = 12% of 312
= 37.44,
Hence, the question can be asked about the total amount of the vitamin C.
If I’m correct, then the answer is D. Someone please correct me if I’m wrong.
