Answer:
3(x - 12)(x + 2)
Step-by-step explanation:
Given
3x² - 30x - 72 ← factor out 3 from each term
= 3(x² - 10x - 24) ← factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) and
3x² - 30x - 72 = 3(x - 12)(x + 2)
The right answer for the question that is being asked and shown above is that: "C. TUVW was rotated 90° counterclockwise about the origin and then translated 4 units to the right." This is the <span>sequence of transformations was performed on figure TUVW to produce figure TꞌꞌUꞌꞌVꞌꞌWꞌꞌ</span>
Answer:
No
Step-by-step explanation:
When you square a number, you chose a number and multiplying itself. If you did the square root of 25, you would get 5. However if you divided 25 by 2, you would get 12.5 which is NOT the square root.
We are given 
The order of the letter sequence is important. The letters pair up based on how they are arranged. We see that A and E are the first letters of the sequences. So this means that angles A and E are the same measure
angle A = angle E
3x+20 = 5x-80
3x-5x = -80-20
-2x = -100
x = -100/(-2)
x = 50
Use this x value to find the measure of angle A
angle A = 3x+20
angle A = 3(50)+20
angle A = 150+20
angle A = 170 degrees
<h3>Therefore, the statement "the measure of angle A is 45 degrees" is <u>false</u>.</h3>
ANSWER
Approximately after 15 minutes.
EXPLANATION
The growth rate of the first bacteria is

The growth rate of the first bacteria :

To find the time that, there will be an equal number of bacteria, we equate the two equation;



We solve for t to get,

Or

We discard the negative value.
This implies that,
