Answer:
( 2x + 1 ) (x + 1 )
Step-by-step explanation:
2x² + 7x + 3
m+n = b = <u>7</u>
m · n = a · c = 2 · 3 = <u>6</u>
m = 6
n = 1 because 6 + 1 = <u>7</u> and 6 · 1 = <u>6</u>
2x² + <u>1</u>x + <u>6</u>x + 3
x ( 2x + 1 ) + 3 ( x + 1 )
( 2x + 1 ) (x + 1 )
3 because the x value has been repeated
Answer:
- Dien - 15 seconds, Jane - 10 seconds
Step-by-step explanation:
<u>Together:</u>
- 2/3 of pizza ⇒ 4 seconds
- Full pizza ⇒ 4 ÷ 2/3 = 6 seconds
Dien needs x seconds to eat pizza
Jane needs x - 5 seconds to eat pizza
<u><em>In one second, Dien can eat 1/x, Jane can eat 1/(x - 5), together 1/6 of a pizza</em></u>
- 1/x + 1/(x - 5) = 1/6
- x(x - 5) = 6(x + x - 5)
- x² - 5x - 12x + 30 = 0
- x² - 17x + 30 = 0
- (x - 15)(x - 2) = 0
- x = 15 (x = 2 is discounted as not realistic)
Dien can eat a pizza in 15 seconds, Jane can eat a pizza in 10 seconds
It is impossible because it's base is not circular. A solid of revolution is <span>obtained by rotating a </span>plane curve<span> around some </span>straight line, that is, <span>the </span>axis of revolution that lies on the same plane. The closest to a square pyramid applying this concept is by rotating a right triangle around the opposite or adjacent side (the axis), but the shape that you get is a straight circular cone.