Let <em>f(x)</em> = <em>x</em>³ + <em>x</em> - 5. <em>f(x)</em> is a polynomial so it's continuous everywhere on its domain (all real numbers). Since
<em>f</em> (1) = 1³ + 1 - 5 = -3 < 0
and
<em>f</em> (2) = 2³ + 2 - 5 = 5 > 0
it follows by the intermediate value theorem that there at least one number <em>x</em> = <em>c</em> between 1 and 2 for which <em>f(c)</em> = 0.
Answer:
Alternate Exterior
Step-by-step explanation:
This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.
Answer:
the boat travel one way = 2 x 14.16 = 28.32 miles
Step-by-step explanation:
the return trip only takes 1.7 miles (?) ... is it 1.7 hours (?)
the boat travels 2.5 miles (per hour ?) faster downstream
I calculate it on the assumption of my guess stated above ...
X: represent the boat speed / hour
distance one way = 2X
and Distance also = 1.7 * (x + 2.5 ) on return
2x = 1.7 x + 1.7 * 2.5 = 1.7x + 4.25
0.3 x = 4.25
x = 14.16
the boat travel one way = 2 x 14.16 = 28.32 miles
