Answer:
x > 3
interval notation: (3, ∞)
Step-by-step explanation:
Given the inequality statement: 4x - 5 > 7,
The goal is to isolate x and find its solution.
Start by adding 5 to both sides:
4x - 5 + 5 > 7 + 5
4x > 12
Divide both sides by 4:
4x/4 > 12/4
x > 3
The solution can also be expressed in the following interval notation:
(3, ∞).
In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.
First you must have the quadratic equal to zero. In order to do this you must subtract 7 to both sides
x^2 + 20x + (100 - 7) = 7 - 7
x^2 + 20x + 93 = 0
Now you must find two numbers who's sum equals 20 and their multiplication equal 93
Are there any? NO!
This means that you have to use the formula:

In this case:
a = 1
b = 20
c = 93



^^^We must simplify √28
√28 = 2√7
so...

simplify further:

-10 + √7
or
-10 - √7
***plus/minus = ±
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer: FALSE
<u>Step-by-step explanation:</u>
x⁵ + 0x⁴ - 4x³ + 2x² - 4x + 1
If x - 2 is a factor, then x =2 should result in a remainder of 0 when using synthetic division.
2 | 1 0 -4 2 -4 1
<u>| ↓ 2 4 0 4 0 </u>
1 2 0 2 0 1 ← Remainder ≠ 0 so x - 2 is NOT a factor
Answer:
±11 is the answer........