<span>Expanded form is a way to write numbers by adding the value of its digits. Example: 1,000+ 500 + 60 + 5 + 1,565</span>
2x − 3 < x + 2
<span>x − 3 < 2 </span>
<span>x < 5 </span>
<span>x + 2 ≤ 3x + 5 </span>
<span> 2 ≤ 2x + 5 </span>
<span> -3 ≤ 2x </span>
<span> -3/2 ≤ x </span>
<span>Answer: -3/2 ≤ x < 5</span>
Answer:
r = 40 miles / hour
Step-by-step explanation:
<em><u>Formula</u></em>
d = r * t
<em><u>Givens</u></em>
d = 16 miles
t = 24 minutes = 24/ 60 minutes in an hour = 0.4 hours
r = ???
<em><u>Substitute and solve</u></em>
16 miles = r * 0.4 hours Divide by 0.4
16/0.4 = r Switch sides
r = 16/0.4
r = 40 miles / hour
There are 527,040 minutes in a leap year :3
Answer:
Step-by-step explanation:
We can solve this in either of two approaches: Mathematically or Graphically.
<u>Mathematically</u>
y=-(3/4)(x-4)^2+12 where y is the height of the ball, and x is the time, in seconds.
We want to know how many seconds for the height to be 0, so y=0.
0 = -(3/4)(x-4)^2+12
-12 = -(3/4)(x-4)^2
12*(4/3) = (x-4)^2
16 = (x-4)^2
x = 8 and 0 (the initial point).]
It will reach the ground in 8 seconds
<u>Graphically</u>
Plot the function and find the time, x, when the graph passes through the x axis (after t = 0). Attached.