Answer/Step-by-step explanation:
Area of trapezium = ½*(AD + BC)*AB
Area = 42 cm²
AD = (x + 8) cm
BC = (x + 5) cm
AB = x cm
Plug in the values into the equation
42 = ½((x + 8) + (x + 5))*x
42 = ½((x + 8 + x + 5)*x
42 = ½(2x + 13)*x
Multiply both sides by 2
42*2 = (2x + 13)*x
84 = 2x² + 13x
2x² + 13x = 84
Subtract both sides by 84
2x² + 13x - 84 = 0
Step-by-step explanation:
1. Ok so first we need to figure out how many boxes of shirts he bought. In each box there are 20 shirts and he sold 93. So if we round it, he bought about 100 T-shirts. 100 ÷ 20 = 5. So he bought 5 boxes of shirts.
2. Next we need to figure out how much he spent on the shirts. 5*80=400. So he spent $400 dollars on the shirts.
3. We need to find out the amount of money he made from selling the shirts. 6*93=558
4. We need to find the profit so you subtract the total expenses from the total revenue. 558-400= 158. So the profit is $158
Answer: Mr. Youngbear made 158 dollars worth of profit after selling 93 T-shirts.
(I dont know if this is correct, but I hope I was able to help!)
<em><u>Planning is the process of thinking about the activities required to achieve a desired goal.</u></em>
Answer:
exact form: 13 over 6
decimal form: 2.16
mixed number form: 2/ 1 over 6
9514 1404 393
Answer:
(c) P(x) = x^4 +3x^3 -10x^2 -30x
Step-by-step explanation:
If the polynomial has integer coefficients, its complex or radical roots come in conjugate pairs. That is, -√10 is also a root. The four roots mean the polynomial has degree 4. That eliminates all but answer choice C.
Each root 'a' gives rise to a factor (x -a), so the factored polynomial is ...
P(x) = (x -0)(x -(-3))(x -√10)(x -(-√10))
P(x) = x(x +3)(x² -10) = x(x³ +3x² -10x -10)
P(x) = x^4 +3x^3 -10x^2 -10x