Answer:
Solutions are;
x = -8
x = -3.2
Step-by-step explanation:
Here, we want to solve the given equation for x
|(x-4)/(x + 5)| = 4
From what we have, this is an absolute value equation and thus, we are going to have two solutions
These are;
x-4/x+ 5 = 4
x-4 = 4(x + 5)
x-4 = 4x + 20
x-4x = 20 + 4
-3x = 24
x = -24/3
x = -8
secondly;
x-4/x+5 = -4
x-4 = -4(x + 5)
x-4 = -4x - 20
x + 4x = -20 + 4
5x = -16
x = -16/5
x = -3.2
Answer: 7:3
Step-by-step explanation:
15 chairs are red
35 are blue
35:15
Simplifies to
7:3
Answer:
D.
Step-by-step explanation:
To tell whether the domains can include 0, all you need to do is find where x = 0, and whether the y-value is real.
h(x) = sqrt(2x^2 + 5x - 3)
= sqrt(0^2 + 5 * 0 - 3)
= sqrt(-3)
Since this includes the square root of a negative number, h(0) is an imaginary number. That means that we can eliminate choices A and B.
If you look at the graph of w(x), when x = 0, there is a real value for the y-value on the graph. But, if you think about it, if you have 0 workers, there is no way that you can still be producing wrenches. So, the domain cannot contain 0.
Your answer will be D.
Hope this helps!!
We know that
Limacons are in the form
r=a(+-)b*sin (theta) or r=a(+-)b*cos (theta)
in this problem
r=a(+-)b*sin (theta)
so
is symmetric to y axis
a=1/2
b=1/2
a/b=1---------> Cardioid (hearth shaped)
see the attached figure
the answer is the option
<span>
A. Cardioid </span>
Any number from 21-98 is between 20 and 99.
