Answer:
x < 7
Step-by-step explanation:
First apply the -2 onto each term that it is being multiplied onto.
-2x + 6 > - 8
Now subtract six from both sides.
-2x > -14
Now divide by -2.
x < 7
<u>REMEMBER</u>
When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.
Answer:
-5
Step-by-step explanation:
Moving all terms of the quadratic to one side, we have
.
A quadratic has one real solution when the discriminant is equal to 0. In a quadratic
, the discriminant is
.
(The discriminant is more commonly known as
, but I changed the variable since we already have a
in the quadratic given.)
In the quadratic above, we have
,
, and
. Plugging this into the formula for the discriminant, we have
.
Using the distributive property to expand and simplifying, the expression becomes

Setting the discriminant equal to 0 gives
.
We can then solve the equation as usual: first, divide by 2 on both sides:
.
Squaring both sides gives
,
and subtracting 5 from both sides, we have

Answer:(125-81.25)/125 = 0.35 = 35%
Step-by-step explanation: