(2x^2-x-6)/x^2-4
Factor top and bottom and you get
(2x+3)(x-2)/(x+2)(x-2)
The (x-2) cancel out each other leaving,
(2x+3)/x+2
The domain is all real numbers EXCEPT for -2. The domain can never be -2 as it would to the bottom having a zero, and that can't happen
Answer:
50 watts
Step-by-step explanation:
joules per second means watts
50 Joules per second means 50 watts
answers
First, use the distributive property to expand the first equation.
3(x-4)=3*x+3*-4
=3x-12
Then we solve this as if it were an equation
3x-12≥5x+2
Minus 3x is
-12≥2x+2
Minus 2 is
-14≥2x
Which gets us that

(We had to flip the sign because we divided by a negative number).
You'll notice that this matches none of the choices, however, we are looking for the
solution set, not the solution. In this case, it means any number that is less than 7. The correct answer is
-10.
<em />:)
<span>n aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly 1 hour.
Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour?
---
With wind DATA:
distance = 120 miles ; time = (3/4)hr ; rate = 120/(3/4) = 160 mph
----
Against wind DATA:
distance = 120 miles ; time = 1 hr ; rate = 120 mph
-----
Equation::
Let p be speed of the plane in still air
Let w be speed of the wind
==================================
With wind:: p + w = 160 mph
Against wind:: p - w = 120 mph
================================
</span>
Answer:
25x^2+40x+16
Step-by-step explanation:
We have to distribute each term to the other terms.
Let's take the first 5x and multiply it by 5x and 4 in the second set of parentheses.
5x*5x+5x*4
25x^2+20x
Now we have to multiply the first 4 by, again, 5x and 4
4*5x+4*4
20x+16
Now we combine the two bolded expressions.
25x^2+20x+20x+16
Now we combine like terms
25x^2+40x+16
Hope this helps!