Answer:
x is greater than 30
x is greater than or equal to 31
Step-by-step explanation:
any number above 30 works
=(-17) - 4
=(-17) + (-4)
=(-21)
Answer:
a) 
b) t = 0.3 seconds
c) d = 4.9t²
d) d = 11 cm.
Step-by-step explanation:
One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula
.......... (1)
a) the simplified expression is
......... (2)
b) If d = 44 cm = 0.44 meters, from equation (2) we get,
t = 0.299 seconds ≈ 0.3 seconds (Approximate)
c) If we make d as the subject of the equation, then
⇒ d = 4.9t² .......... (3)
d) Now, if 
seconds, then from equation (3) we get,
d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)
Answer:
x ∈ (- 9/2; 1/2), it can also be written as -9/2 <x< 1/2
Step-by-step explanation:
We have absolute value, so we will have2 inequalities.
2x + 4 < 5 and -(2x +4)< 5
2x < 1 -2x - 4 < 5
x < 1/2 -2x < 9
or x > -9/2
(-∞; 1/2) or (- 9/2; ∞)
(-∞; 1/2) ∩ (- 9/2; ∞) = (- 9/2; 1/2)
The answer is x ∈ (- 9/2; 1/2), it can also be written as -9/2 <x< 1/2.
Answer:
base = 5.6 cm
Step-by-step explanation:
area of a triangle = 1/2 * base * height
area = 5.88 cm²
height = 2.1 cm
5.88 = 1/2 * base * 2.1
5.88 = 1.05 base
5.88 / 1.05 = base
base = 5.6 cm
