Answer:
r > 7 (C)
Step-by-step explanation:
3r−7>14
Step 1: Add 7 to both sides.
3r−7+7>14+7
3r>21
Step 2: Divide both sides by 3.
3r
3
>
21
3
r>7
Hope this helps and makes sense!! Good luck and have a wonderful day! <33
Imagine this < as a alligater and itś eating the greater number!!
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:
Factoring the expression 
completely we get 
Step-by-step explanation:
We need to factor the expression completely
We need to find common terms in the expression.
Looking at the expression, we get 
is common in both terms, so we can write:
So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
So, we get:
Therefor factoring the expression completely we get
Answer:
See below, I will let graphing part to yourself.
Step-by-step explanation:
First function: domain: 
, range: ![(-\infty, -2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-2%5D)
, decreasing
Second function: domain: 
, range: , increasing
Third function: domain: 
, range: 
, increasing
Answer:
535
Step-by-step explanation:
8 x 7 = 56
15 x 17 = 255 . 255 / 2 = 127.5
15 x 17 = 255 . 255 / 2 = 127.5
15 x 7 = 105
17 x 7 = 119
119 + 105 + 127.5 + 127.5 + 56 = 535
