Answer:
- The two solutions are:
- The next and every step are below.
Explanation:
1. 
: Given (addition property / add - 3 to both sides)
2. 
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:
5. Divide both sides by - 2 to get the next expression:
6. The last step is to extract squere root from both sides of the equality:
Answer:
156
Step-by-step explanation:
Let,
Sandwiches sold by Adam, Matt and Clinton = 2x, 7x and 3x
Total sandwiches = 2x + 7x + 3x
=> 12x
But its given that Matt sold 91 sandwiches
So,
7x = 91
x = 91/7
x = 13
=> Total sandwiches = 12x = 12(13) = 156
Answer:
(0,-2)
Step-by-step explanation:
the answer is (0,-2) because -2 is where the line crosses over the y-axis. If we looked at a graph you would see that the line goes over 0 on the X-axis, which causes the line to touch the y-axis and intercept it at the -2 mark.
An easy way to find the answer for these sorts of questions is to draw out a graph and mark the coordinates on it and draw the line conecting them. Once you've done that you can easily see where the line intercepts on both the y and x axis.
3x - y = -4
3x - (-10) = -4 Substitute
3x + 10 = -4 Simplify
3x = -14 Separate numbers and variables
x = -14/3 Divide
2x - y = - 10
2x - (-10) = -10 Substitute
2x + 10 = -10 Simplify
2x = -20 Separate numbers and variables
x = -10 Divide
20% of £37500 = 20/100 x 37500 = £7500 (TAX)
40% of £112500 = 40/100 x 112500 = £45000 (TAX)
0% of £12500 = 0 (TAX)
25% of x = 9260
x= £37040 ( kim earned that year)
