If <em>x</em> = -1, you have
2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0
and if <em>x</em> = 0, you have
2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0
The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.
Repost your question. Unclear as typed.
Answer:
Option A
Explanation:
the ratio of radii to volume is ^3 "to the third power"
so 5^3 : 9^3 would be the ratio for volumes
125:729
It is the first answer choice
Answer:
p < -32
Step-by-step explanation:
<em>Given:</em> p/-8 + 9 > 13
<em>Rewrite:</em> 
+ 9 > 13
<em>Subtract 9 from both sides:</em> > 4
<em>Move the negative (it is a fraction): </em>
> 4
<em>Multiply both sides by 8:</em> -p > 32
<em>Times by -1 (-p -> -1p): </em>p > -32
<em>Flip the sign (multiplied by a negative): </em>p < -32
Hope this helps, have a nice day :D
