The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.
For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
Answer:
68⁰
Step-by-step explanation:
90 + 22 = 112
180 - 112 = 68
Answer:
88 in²
Step-by-step explanation:
The shape of a pizza = Circular
Area of a circle = πr²
For Martin
Martin ordered a pizza with a 12-inch diameter.
Radius = Diameter/2 = 12 inch/2 = 6 inch
Area of Martin's pizza = π × 6²
= 113.09733553 in²
≈ 113.1 in²
For Ricky
Ricky ordered a pizza with a 16-inch diameter.
Radius = Diameter/2 = 16 inch/2 = 8 inch
Area of Martin's pizza = π × 8²
= 201.06192983in²
= 201.1in²
The approximate difference in area of the two pizzas in square inches is calculated as:
201.1 in² - 113.1 in²
= 88 in²
Sue's total pay of year will have three parts
1) Fixed Salary for 12 months
one month salary = £1410
so 12 month salary = £1410 x 12 = £16920
2) 26% of total profit
Total cost to the company- £473,500
Total income for the company - £549,000
Profit = Total income for the company - Total cost to the company
= £549,000 - £473,500 = £75500
Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630
3) Bonus if Sue sells at least 16 cars
Given number of months when sue solds atleast 16 cars = 4
So bonus income = 4 × 390 = £1560
Adding the three above parts
Sue's total pay for the year = £16920 + £19630 + £1560 = £38110
