Answer:
The ball reaches 44 ft above the ground after 4 sec.
Step-by-step explanation:
Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t. Indicate exponentiation with " ^ "
-16t^2 + 300 = 44 becomes
-16t^2 + 256 = 0, or 16t^2 = 256. Then, taking the square root of both sides, we get:
4t = 16, or t = 4 sec. The ball reaches 44 ft above the ground after 4 sec.
Answer: hi , these are the 3 answers in order : X, 36 & 15.75
Step-by-step explanation:
g(x) = the quantity of x minus one, over four
g(x) = (x-1)/4
g(5) = (5-1)/4
g(5) = 4/4
g(5) = 1
f(x) = x2 − 3x + 3
f(g(5)) =1^2 − 3(1) + 3
f(g(5)) = 1 - 3 + 3
f(g(5)) = 1
Answer:
36≤x≤48
Step-by-step explanation:
Let x represents the height of the child if a child must be at least 36 inches, this means that the child can has a height greater than or equal to 36in. This is expressed as;
x≥36
If the same child has height of no more than 48in, this can be expressed as;
x≤48
Combining both inequality
If x ≥36, this means 36≤x
Combining with x≤48 will give the compound inequality;
36≤x≤48
Answer:
- first side: 55 cm
- second side: 60 cm
- third side: 50 cm
Step-by-step explanation:
The problem statement gives all the side lengths in terms of that of the second side. Let s represent the length of the second side in cm. Then the length of the first side is (2s-65), and the length of the third side is (s-10). The perimeter is the sum of all the side lengths:
165 = (2s -65) +s +(s-10)
165 = 4s-75
240 = 4s
60 = s . . . . . . . . second side
2s-65 = 55 . . . . first side
s-10 = 50 . . . . . . third side
In order, the side lengths are 55 cm, 60 cm, 50 cm.
