Answer:
the object is in the air on the time interval (0.24 sec, 6.51 sec)
Step-by-step explanation:
The object is 'in the air' for all t such that h> 0. We need to find the roots of h = -16t^2 + 108t - 25 = 0. From the graph we see that both t values are positive. Once we find them, we subtract the smaller t from the larger t, which results in the length of time the object is in the air.
Use the quadratic formula to find the roots of h(t). The coefficients of t are {-16, 108, -25}, and so the discriminant b^2 - 4ac is
108² - 4(-16)(-25) = 11664 - 1600 = 10064, whose square root is 100.32.
Then the quadratic formula x = (-b ± √[b² - 4ac)/(2a) becomes
-108 ± 100.32 108 ± 100.32
t = ---------------------- = --------------------- = 3.375 ± 3.135
2(-16) 32
or t = 6.51 or t = 0.24 (both times expressed in seconds).
So, again, the object is in the air on the time interval (0.24 sec, 6.51 sec)
Part A:
Since five states have four-star hotels, only those five states can claim at least one four-star hotel and since there are 50 states, we can write this as 5/50 or 1/10.
Part B:
50 - 5 = 45 states don't have a four-star hotel.
Part C:
45/50 or 9/10 of the states do not have a four-star hotel.
Best of Luck!
10m + -0.4 = 9.6
-0.4 + 10m = 9.6
-0.4 + 10m = 9.6
Solving for 'm'Move all terms containing m to the left, all other terms to the right.
-0.4 + 0.4 + 10m = 9.6 + 0.4
Combine like terms: -0.4 + 0.4 = 0.00.0 + 10m = 9.6 + 0.410m = 9.6 + 0.4
Combine like terms: 9.6 + 0.4 = 1010m = 10
Divide each side by '10'.<span>m = 1</span>
Answer:
y = 
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, 4)
m = 
=
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = x + 2 ← equation of line
Answer:
he area that is un-shaded is (x-3)(x-6).
The entire area is (2x+2)(3x-4).
Area of the shaded region is:
(2x+2)(3x-4) - (x-3)(x-6) =
(6x2-2x-8) - (x2-9x+18) =
6x2-2x-8-x2+9x-18 =
5x2+7x-26 hopes this help btw (;
