X > -4 is the answer to the inequality
Answer:
x = 7
y = 11
Step-by-step explanation:
Given the system;
y = 2x - 3
x + y = 18
1. Approach
The easiest way to solve this system of equations is to solve the second equation for the variable (y). Then add the systems, use algebra to solve for the value of (x), then substitute that value back into one of the original equations to solve for the value of (y). Another name for the method in use is the method of elimination, this is when a [erspm manipulates one of the equations in a system of the equation such that when they add the equations, one of the variables eliminatates. Thus, they can solve for the other variable and the backsolve for the value of the unknown variable.
2. Solve one of the equations for a variable
Manipulate the system such that each equation is solved for the same variable,
x + y = 18
Inverse operations,
x + y = 18
-18 -18
x + y - 18 = 0
-y -y
x - 18 = -y
3. Use elimination
Now substitute this back into the original system,
y = 2x - 3
-y = x - 18
Add the systems,
y = 2x - 3
-y = x - 18
_________
0 = 3x - 21
Inverse operations,
0 = 3x - 21
+21 +21
21 = 3x
/3 /3
7 = x
4. Find the value of the unknown variable
Backsovle to find the value of (y),
x + y = 18
Substitute,
7 + y = 18
Inverse operations,
7 + y = 18
-7 -7
y = 11
Answer: $240.83
explanation:
Since he pays health insurance MONTHLY, you multiply 175x12=1200.
Since the others are yearly, just add those too 1,200.
1200+595+195=2,890.
Since you are looking for his monthly total you want to divide 2,890 by 12. Giving you the answer $240.83
I graphed the given points and based on my graph.
<span>
x
y </span>→ EXPONENTIAL<span><span>
</span>
<span>
-2
21
</span><span> 1 4
</span><span> 0 1
</span><span> 1 0
</span></span><span>
x y </span>→ LINEAR<span><span>
</span>
<span>
-2 6
</span>
<span>
-1
-2
</span><span> 0 2
</span><span> 1
6
</span></span>
<span>
x y </span>→ QUADRATIC<span><span>
</span>
<span>
-2
12
</span>
<span>
-1
-2
</span><span> 0
-8
</span><span> 1
-6
</span></span><span>
<span><span>
x
y </span></span></span>→ EXPONENTIAL<span><span><span>
</span>
<span>
-2
16
</span>
<span>
-1 8
</span><span> 0 4
</span><span> 1 2
LINEAR FUNCTIONS always maintain a constant slope. In the above linear function, the slope is 4.
EXPONENTIAL and QUADRATIC FUNCTIONS have different slope in every point.
Exponential functions can be identified by the immediate increase or decrease in the value of y resulting to a minimal increase or decrease in the value of x.
Quadratic functions can be identified as such due to the similar points it has after having the vertex.
</span></span></span>
X-4/2x=3x/2x-1 (invert the bottom and then multiply)
<span>x-4 (2x+3x/2x-1) ( the 2x's cancel) </span>
<span>x-4 (3x/-1) </span>
<span>x-4 (-3x) (expand) </span>
<span>-3x^2 + 12x=0 </span>
<span>-3x^2= -12x (bring 12x to other side making it negative) </span>
<span>-3x^2/3x= -12x/-3x (divide both sides by -3x) </span>
<span>x=4 </span>
<span>Hope that helps</span>