4 3/4 is a mixed number because it consists of a whole number and a fraction.
Answer:
31.9secs
6,183.3m
Step-by-step explanation:
Given the equation that models the height expressed as;
h(t ) = -4.9t²+313t+269
At the the max g=height, the velocity is zero
dh/dt = 0
dh/dt = -9,8t+313
0 = -9.8t + 313
9.8t = 313
t = 313/9.8
t = 31.94secs
Hence it takes the rocket 31.9secs to reach the max height
Get the max height
Recall that h(t ) = -4.9t²+313t+269
h(31.9) = -4.9(31.9)²+313(31.9)+269
h(31.9) = -4,070.44+9,984.7+269
h(31.9) = 6,183.3m
Hence the maximum height reached is 6,183.3m
8n^2-3n+10 + -3n^2-6n-7
8n^2 + -3n^2 = 5n^2
-3n + -6n = -9n
10 + -7 = 3
Put them all together and you get 5n^2-9n+3
I tried to space them out so that it makes more sense.
Answer:
a = -5.
Step-by-step explanation:
(3x + 2)(x + 1)
= 3x(x + 1) + 2(x + 1)
= 3x^2 + 3x + 2x + 2
= 3x^2 + 5x + 2
So the remainder a = 3x^2 + 5x - 3 - (3x^2 + 5x + 2)
= -3 - 2
= -3 - 2
= -5 (answer)