Pick out the like terms. 6x^2 (which equals 36x), 11x, 2x^2 (which equals 4x), -17x.
36+11+4= 51, -17= 34x
-3+-4= -7
The simplified expression would be 34x+-7.
(This could be wrong though, I'm sorry if it is ^^)
The value of p if the pair of equations may have one root common is 1.
<h3>What are the
roots of the equation?</h3>
Let the equation be ax² + bx + c = 0.
Then the roots of the equation will be
The equations are given below.
2x² + px - 1 = 0 and 3x² - 2x - 5 = 0
The roots of the equation 3x² - 2x - 5 = 0 will be
3x² - 5x + 3x - 5 = 0
(3x - 5)(x + 1) = 0
x = -1, 5/3
At x = -1, the value of p will be
2(-1)² + p(-1) - 1 = 0
2 - p - 1 = 0
p = 1
The value of p if the pair of equations may have one root common is 1.
More about the roots of the equation link is given below.
brainly.com/question/12029673
#SPJ1
Answer:
y=2
Step-by-step explanation:
<span>It looks like you're supposed to pick a combination of two answers:
an absolute-value inequality, and
a sentence describing the meaning of that inequality.
We've got two choices for each, and therefore four possible combinations of choices.
First, let's tackle the sentence description. We're told that
"it [the cost] could differ [from the average of $32] as much as $8."
That sets a maximum value for the difference; it's UP TO $8.
If the cost is less than average, it could be as little as
$32 - $8 = $24
and if the cost is more than average, it could be as much as
$32 + $8 = $40.
So the medication costs range from $24 to $40, and we want an answer that states that.
Now for the inequalities:
|x - 32| describes the SIZE of the difference. Using the absolute-value function means we don't distinguish between
x - 32
and
32 - x
as far as our interests are concerned; we eliminate the sign from the subtraction and just look at the size of the difference.
But in the case we're looking at, we've got a MAXIMUM value for the difference; it can't be more than 8. The inequality
|x - 32| ≥ 8
says the difference is 8 or MORE, so we don't want that. Instead, we want
|x - 32| ≤ 8
which says the difference is anywhere from 0 to 8.
Combining these conclusions, we see we're looking for this answer:
|x - 32| ≤ 8; The medication costs range from $24 to $40
which is the third one listed.</span>
Answer:
2x · (x-1)
Step-by-step explanation:
2x
