Answer:
x = -6/5
Step-by-step explanation:
distribute -4 on the left side of the equation first, then distribute 2 on the right side of the equation to get:
16x - 4 - 4x = 2x - 14 - 2
combine 'like terms':
12x - 4 = 2x - 16
subtract '2x' from each side to get:
10x - 4 = -16
add 4 to each side to get:
10x = -12
x = -12/10 or x = -6/5
Answer:
a.) Between 0.5 and 3 seconds.
Step-by-step explanation:
So I just went ahead and graphed this quadratic on Desmos so you could have an idea of what this looks like. A negative quadratic, and we're trying to find when the graph's y-values are greater than 26.
If you look at the graph, you can easily see that the quadratic crosses y = 26 at x-values 0.5 and 3. And, you can see that the quadratic's graph is actually above y = 26 between these two values, 0.5 and 3.
Because we know that the quadratic's graph models the projectile's motion, we can conclude that the projectile will also be above 26 feet between 0.5 and 3 seconds.
So, the answer is a.) between 0.5 and 3 seconds.
The volume of a sphere is 4/3 * pi * r³ so substitute the values in
4/3 * pi * 2³
4/3 * pi * 8
32/3 * pi
The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)
I hope this helps!
Answer:
40 more kids chose baseball over basketball.
Step-by-step explanation:
The best way to go about this is to use benchmark percentages.
For baseball, 25% of 800 people chose that, so we can do 800/4 to get 200, so 200 students chose baseball
For basketball, we could do 800/5 but that isn't mental math, so we can do 10% of 800 is 80 and 80*2=160. So 40 more kids chose baseball over basketball.