X=22 y=24.8 by using elimination
Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
(x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
Answer: he would need to sell at least 41 candies to make a profit
The first graph since it’s increasing rapidly while the second one is a parabola.
A. Is an exponential function
Step-by-step explanation:
<h3>Here, </h3><h3>h = 20cm</h3><h3 /><h3>By question, </h3><h3>p + b = 28cm</h3><h3>or, p = 28 - b</h3><h3 /><h3>Using pythagoras theorem, </h3>
<h3>h^2 =p^2 + b^2</h3><h3>20^2 = (28-b) ^2 + b^2</h3><h3>400 = 28^2 -2x28xb + b^2 + b^2</h3><h3>56b = 784 - 400 + 2 b^2</h3><h3>0 = 2b^2 - 56b + 384 </h3><h3>0 = 2 ( b^2 - 28b + 192)</h3><h3>0 = b^2 - (16 + 12) b + 192</h3><h3>0 = b^2 - 16b - 12b + 192</h3><h3>0 = b (b - 16) - 12 (b - 16)</h3><h3>0 = (b - 16) (b - 12)</h3><h3>Either, </h3><h3>b= 16</h3><h3>Or,</h3><h3>b = 12</h3>
<h3>When b = 16,</h3><h3>p = 28 - 16 </h3><h3> = 12</h3><h3>When b = 12,</h3><h3>p = 28 - 12</h3><h3> = 16</h3>