The dragonfly traveled a distance of 87.5 miles at a rate of 35 miles per hour.
Explanation:
Distance traveled by butterfly at the rate of 34 miles per hour in 2.5 hours
=35 mi/hr × 2.5 hour
=<span><span>35mi</span><span>hour</span></span> ×2.5 <span>hour</span>
=<span>35mi⋅<span>2.51</span>⋅<span>1010</span></span>
=<span>35mi⋅<span>2510</span></span>
=<span>35mi⋅<span>52</span></span>
=<span>175m<span>i2</span></span>
=<span>87.5mi</span>
∴ It would travel a distance of 87.5 miles.
Here mi represents miles.
Answer:
x−2x4+2x3−7x2−8x+12=x3+4x2+x−6
The rational root theorem suggests that other possible roots may be -6, 6, -3, 3, -2, 2, -1, and 1. It turns out that x=-2x=−2 is a root, since (-2)^3+4(-2)^2+(-2)-6=0(−2)3+4(−2)2+(−2)−6=0 , so x+2x+2 is also a factor and we have
\dfrac{x^4+2x^3-7x^2-8x+12}{(x-2)(x+2)}=x^2+2x-3(x−2)(x+2)x4+2x3−7x2−8x+12=x2+2x−3
Finally, we can factorize the remaining quotient easily:
x^2+2x-3=(x+3)(x-1)x2+2x−3=(x+3)(x−1)
so the other factors are x+2x+2 , x+3x+3 , and x-1x−1 .
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
Answer:
3 seconds
Step-by-step explanation:
16 = 160 - 16t²
16t² = 144
t² = 9
t = 3
