Answer:
1. The answer is b ≥ 4
2. m = -11; m> -11
Step-by-step explanation:
1. solve your inequality step-by-step.
-4b + 9 ≤ -7
subtract nine from both sides.
-4b + 9-9 ≤ -7-9
-4b ≤ -16
then divide both sides by 4,
-4b/4 and -16/4,
you get: b ≥ 4
2. to solve:
2m+18>-4
subtract 18 from both sides.
2m + 18 -18 >-4 -18
= 2m>-22,
divide both sides by 2,
2m/2, -22/2
you end up with: m > -11
Hope this helps. Graph attached
The equation represents height as a function of time.
The bullet was in the air for 75 seconds.
The equation is given as:
The time spent in the air is the time it takes the bullet to land on the ground.
When the bullet is on the ground, the height is:
So, we have:
Factor out t
Split
or
represents when the shot is fired.
So, we solve for t in
Collect like terms
Divide both sides by 16
Hence, the bullet was in the air for 75 seconds
Read more about height and time at:
Answer: The side of the playground is around 10 meters long
Step-by-step explanation:
use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.
Usually
since we know a and b are the same length (sides of a square are congruent) we would have
We know that c is 14 so
Answer:
y = 1
Step-by-step explanation:
Given that y varies inversely with x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 25 when x = , then
25 = = 5k ( divide both sides by 5 )
5 = k
y = ← equation of variation
When x = 5, then
y = = 1