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:
Step-by-step explanation:
The first trinomial is
Let the other trinomial be P.
Then
We make P the subject to obtain,
We simplify to obtain,
Hence the other trinomial is
Answer:
80°
Step-by-step explanation:
angles in a triangle add up to 180°
70° + 30° = 100°
180° - 100° = 80°
Answer:
octagon, because 4 + 4 = eight sides, and octagons have 8 sides
Step-by-step explanation:
Hope that helps!
Answer:
the next two terms are 17, 20
Step-by-step explanation:
add 3 to each term
Example
5+3 = 8
8+3= 11
11+3= 14 etc.
