[2^(1/2)*(2^(3/4)]<span>^2</span>
the answer is √2^5
-35 is < -23.
-35 is less than -23.
-23 is closer to 0 on the number line with 12 steps than -35.
Answer:
true
Step-by-step explanation:
If the function is odd, then f(-x) = -f(x) for all x. So if the function is defined for x > 0 it must also be defined for x < 0. So that interval is NOT possible.
Answer:
The distance the marina can travel =
= 48 miles
Step-by-step explanation:
The rate going out against the current is = u - v = 20 ![\frac{mi}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bmi%7D%7Bh%7D)
The rate going out with the current is = u + v = 30 ![\frac{mi}{h}](https://tex.z-dn.net/?f=%5Cfrac%7Bmi%7D%7Bh%7D)
Let the distance traveled by the motorboat = ![x_{}](https://tex.z-dn.net/?f=x_%7B%7D)
Total time the boat can travel = 4 hours
⇒ Total time = ( Time taken by boat to go against the current ) + ( Time taken by boat to go with the current )
⇒ 4 = ![\frac{x}{u - v} + \frac{x}{u + v }](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7Bu%20-%20v%7D%20%2B%20%5Cfrac%7Bx%7D%7Bu%20%2B%20v%20%7D)
⇒ 4 = ![\frac{x}{20} + \frac{x}{30}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B20%7D%20%2B%20%5Cfrac%7Bx%7D%7B30%7D)
⇒ 4 = ![\frac{x}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B12%7D)
⇒
= 48 miles
This is the distance the marina can travel.
Hey there!
The answer to your question is y = -3/4x - 3
If an equation in slope-intercept form is parallel to another equation, they will both have the same slope. So, we know part of the equation:
y = -3/4x + b
Now, we have to solve for b. We know that it has to pass through the given point, (4, -6), so we can plug the points into the equation, and solve for b:
-6 = (-3/4)(4) + b
-6 = -3 + b
-3 = b
We know that "-3" is b, so that means the equation in slope-intercept form is y = -3/4x - 3
Hope it helps, and have an amazing day! You've got this!