Answer:
x = -4
Step-by-step explanation:
Given: -2(4x + 4) - 3x - 2 = 34
To solve this equation, we have to isolate the variable. (Get x by itself).
We'll follow the PEMDAS rule as far as parentheses.
So, -2(4x + 4) - 3x - 2 = 34
= -8x - 8 - 3x - 2 = 34
Now, we have to get x by itself. To do this, we'll move the numbers without variables to the other side.
Hence:
-8x - 8 - 3x - 2 = 34
+8 +2 +8 +2
-8x - 3x = 34 + 8 + 2
Now, we'll simplify.
-11x = 44
Lastly, to rid the negative eleven from the x, we have to divide negative eleven by the rest of the equation.
-11x = 44
-------------
-11
x = -4
(a) Answer: One solution.
Explanation: two lines that have same slope with opposite sign will necessarily cross each other at a single point, as one is "pointing uphill" and the other "downhill."
(b) Answer: Infinitely many solutions.
Explanation:
2x + 3y = 5.5
4x + 6y = 11 | divide by 2
-->
2x + 3y = 5.5
2x + 3y = 5.5
--> equations are identical.
2x + 3y = 2x + 3y
so any (x,y) will satisfy this equation. This means infinitely many solutions.
(c) Answer: One solution
Explanation:
Continuing the two lines it becomes obvious they will cross at one point (the solution)
(d) Answer: No solution
Explanation: If the two lines are parallel, they will never cross (by definition of "parallel"). Therefore there will be no solution to the corresponding linear system.
Answer:
slope: -(9/8)
y-intercept: 7
equation: y = -(9/8)x + 7
Step-by-step explanation:
Solve for the slope.
<em>m</em> (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (8 , -2)
(x₂ , y₂) = (0 , 7)
Plug in the corresponding numbers to the corresponding variables:
<em>m </em>= (7 - (-2))/(0 - 8)
<em>m</em> = (7 + 2)/(0 - 8)
<em>m</em> = 9/-8
Your slope is -(9/8)
Solve for the y-intercept. Plug in your slope into the slope intercept form:
y = mx + b
Let:
(x , y) = (0 , 7) & m = -(9/8)
Plug in the corresponding numbers to the corresponding variables:
7 = -(9/8)(0) + b
Simplify:
7 = (-9/8 * 0) + b
7 = (0) + b
b = 7
Your y-intercept is 7.
~
Answer:
Step-by-step explanation:
What you have to do is set it up like this
what you have to do is
(30*52) ÷ 100=x
1664 ÷ 100= 16.64
52-16.64= 35.36
35.36 is the new sale price
Answer:
The solution of this expression is 
and 
.
Step-by-step explanation:
The procedure for solution of exercise A is described below:
1) We expand the expression.
2) The resulting expression is rearranged into the form of a second order polynomial.
3) Roots are found by Quadratic Formula.
Step 1:
Step 2:
Step 3:
The solution of this expression is and .
