![3 - w - 2 > 4 + 2w \\ - w - 2w > 4 + 2 - 3 \\ - 3w > 6 - 3 \\ \frac{ - 3w}{ - 3} > \frac{3}{ - 3} \\ w < - 1](https://tex.z-dn.net/?f=3%20-%20w%20-%202%20%3E%204%20%2B%202w%20%20%5C%5C%20%20-%20w%20-%202w%20%3E%204%20%2B%202%20-%203%20%5C%5C%20%20-%203w%20%3E%206%20-%203%20%5C%5C%20%20%20%5Cfrac%7B%20-%203w%7D%7B%20-%203%7D%20%20%3E%20%20%5Cfrac%7B3%7D%7B%20-%203%7D%20%5C%5C%20w%20%3C%20%20-%201%20)
The sign at the end changes because both sides of the equation are being divided by a negative number.
Answer: exponential
Step-by-step explanation:
its exponential
count the squares in each one
first is 2 squares
second is 4 squares
third is 8 squares
this is going up exponentially because the first one would be 2^1 the second would be 2^2 and the third would be 2^3
<h2>
Explanation:</h2><h2>
</h2>
Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:
![h(t) = -16t^2+60t+72](https://tex.z-dn.net/?f=h%28t%29%20%3D%20-16t%5E2%2B60t%2B72)
To calculate how long will it take for the rock to reach the surface of the water, we need to set
. So:
![0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95](https://tex.z-dn.net/?f=0%20%3D%20-16t%5E2%2B60t%2B72%20%5C%5C%20%5C%5C%20%5C%5C%20%5Ctext%7BUsing%20quadratic%20formula%7D%3A%20%5C%5C%20%5C%5C%20t%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20%5C%5C%20%5C%5C%20a%3D-16%20%5C%5C%20%5C%5C%20b%3D60%20%5C%5C%20%5C%5C%20c%3D72%20%5C%5C%20%5C%5C%20%5C%5C%20t%3D%5Cfrac%7B-60%20%5Cpm%20%5Csqrt%7B60%5E2-4%28-16%29%2872%29%7D%7D%7B2%28-16%29%7D%20%5C%5C%20%5C%5C%20t%3D%5Cfrac%7B-60%20%5Cpm%20%5Csqrt%7B60%5E2-4%28-16%29%2872%29%7D%7D%7B2%28-16%29%7D%20%5C%5C%20%5C%5C%20t%3D%5Cfrac%7B-60%20%5Cpm%20%5Csqrt%7B8208%7D%7D%7B-32%7D%20%5C%5C%20%5C%5C%20t_%7B1%7D%3D4.70%20%5C%5C%20%5C%5C%20t_%7B2%7D%3D-0.95)
Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
b
<
4.541
¯
6
b
<
Interval Notation:
(
−
∞
,
4.541
¯
6
)
Answer:
C
Step-by-step explanation:
after 0, there are 3 lines on the graph, if you count by 1 to 3 on it, it is on 1/3 of it. Hope that this helps you and have a great day :)