Answer:
huh?
Step-by-step explanation:
#7:
It means to solve for y.
#8:
We can write:
l = w + 2
Because it says the length is 2 more than the width.
(2,60)(4,240)......t = x and d(t) = y
average rate of change (slope) is (y2 - y1) / (x2 - x1)
slope = (240 - 60) / (4 - 2) = 180/2 = 90 m/s
It represents the average distance traveled by the object between 2 seconds and 4 seconds
Answer:
the solution for x will be given by {x| -13 < x < 13}
Therefore the correct option is B.
Step-by-step explanation:
i) given that |x| < 13
ii) therefore x < 13 for positive values of x
iii) for negative values of x we have -x < 13
therefore x > -13
iv) from ii) and iii) above we can conclude that the solution for x will be given by {x| -13 < x < 13}
Therefore the correct option is B.
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.
