Exercise 4.
a) Since Profit (P) is (equal to) Revenue (R) minus Expenses (E) we can write P = R - E and we know that E = $10 million. So P = R - 10
b) appling the fomula written above, we put P = 25 - 10 = $15 million
c) Let's use the inverse formula. From P = R - E we need R, so move R to the left of equal with changed sign and move P to the right of equal with changed sign. We get - R = - P - E so, make it positive... R = P + E
R = 10 + 5 = $15 million
Exercise 5
a) substitute 15 to x... 3.5 * 15 = y
y = 52.5
b) substitute 144 to y
3.5x = 144 and divide both for 3.5 to find x
3.5x/3.5 = 144/3.5 -> x = 144/3.5 circa 41.1
Exercise 6
a) z = -12 * (-7) -> z = 84
b) 108 = -12x -> 12x = -108 -> 12x/12 = -108/12 -> x = -9
Exercise 7
a) y = 15.3 * (-13) -> y = 198.9
b) 15.3x = 351.9 -> 15.3x/15.3 = 351.9/15.3 -> x = 23
Exercise 8
a) y = -11 + 5 -> y = -6
b) 17 = x + 5 -> - x = -17 + 5 -> x = 17 - 5 -> x = 12
<span>Simplifying
3a2 + -2a + -1 = 0
Reorder the terms:
-1 + -2a + 3a2 = 0
Solving
-1 + -2a + 3a2 = 0
Solving for variable 'a'.
Factor a trinomial.
(-1 + -3a)(1 + -1a) = 0
Subproblem 1Set the factor '(-1 + -3a)' equal to zero and attempt to solve:
Simplifying
-1 + -3a = 0
Solving
-1 + -3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -3a = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -3a = 0 + 1
-3a = 0 + 1
Combine like terms: 0 + 1 = 1
-3a = 1
Divide each side by '-3'.
a = -0.3333333333
Simplifying
a = -0.3333333333
Subproblem 2Set the factor '(1 + -1a)' equal to zero and attempt to solve:
Simplifying
1 + -1a = 0
Solving
1 + -1a = 0
Move all terms containing a to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -1a = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -1a = 0 + -1
-1a = 0 + -1
Combine like terms: 0 + -1 = -1
-1a = -1
Divide each side by '-1'.
a = 1
Simplifying
a = 1Solutiona = {-0.3333333333, 1}</span>
ANSWER
The value of x is
EXPLANATION
We want to solve the equation,
The first step is to add 4 to both sides of the equation to obtain,
We simplify the right hand side to obtain,
We now square both sides of the equation to obtain,
This simplifies to
We solve for x to obtain,
This implies that,
Answer: Easy, graph and solution
Step-by-step explanation: First what you want to do use the slope intercept form to find the slope and y intercept; -1/2 and y intercept (0,4). Any line can be graphed using 2 points. Select two x values, plug them into the equation to find the corresponding y values. Solution
1.) Step; x and y
Table:
0║4
8║0
- All you had to do is divide 0=-x/2 +4= . (8) For the x intercept you get 8and for y you get 4 because you divided 0=-0/2+4
Let us assume that the small no. is x.
So the larger no. is 16+x
so x+16+x=68
2x+16=68
2x=68-16
2x=52
X= 52/2 = 26
The small number is 26
The larger no. = 16 + 26
The larger no. Is 42
