Answer:
Undefined
Step-by-step explanation:
An expression in mathematics which does not have meaning and so which is not assigned an interpretation. For example, division by zero is undefined in the field of real numbers.
Step-by-step explanation:
z_z=wdyxdhxfbxtbxfhcthcdybxfjcdtcxtbxdgcdtgxrbxdh cg cgbcyv
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:
|x - 5| = 2
Step-by-step explanation:
Since we are not given a zero on the number line, we do the following:
Average = midpoint between two numbers on the number line
For this number line,
Average = 3 + 7 ÷ 2
Average = 5
Next we find how many units away are each number from the middle:
3 is 2 units away from 5
7 is 2 units away from 5
Units away = 2
Let's use the formula:
|x - average| = Units away
Substitute values into equation
|x - 5| = 2
Now we solve
Solve for x over the integers:
|x - 5| = 2
Split the equation into two possible equations:
x - 5 = 2 or x - 5 = -2
Add 5 to both sides:
x = -5 + 5 = 2 + 5 or x - 5 + 5 = -2 + 5
Answer:
x = 7 or x = 3
LOOK AT THE GRAPH AND NUMBER LINE
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