Solve the following system of equations. 3x + 2y - 5 = 0 x = y + 10
2 answers:
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The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
To find the correct graph, we should study the continuity of the function
Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2
Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3
From the previous results the correct graph is the last as shown in attached graph.
Hello,
Rectangle A: 6cm (x+2)cm
Rectangle B: 3cm (2x+1)cm
The formula for the perimeter of a rectangle is: P=2(base+height)
Then:
![P_A=2(b+h) \\ P_A=2*[6+(x+2)] \\ P_A=2*(x+8) \\ P_A=2x+16 \\ \\ \\ P_B=2(b+h) \\ P_B=2*[3+(2x+1)] \\ P_B=2*(2x+4) \\ P_B=4x+8 ](https://tex.z-dn.net/?f=P_A%3D2%28b%2Bh%29%20%5C%5C%20P_A%3D2%2A%5B6%2B%28x%2B2%29%5D%20%5C%5C%20P_A%3D2%2A%28x%2B8%29%20%5C%5C%20P_A%3D2x%2B16%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20P_B%3D2%28b%2Bh%29%20%5C%5C%20P_B%3D2%2A%5B3%2B%282x%2B1%29%5D%20%5C%5C%20P_B%3D2%2A%282x%2B4%29%20%5C%5C%20P_B%3D4x%2B8%0A)
But we know that the perimeters are the same, so:
With the answer of A, we realize that this figure is actually a square.
Rectangle A: 6cm (x+2)cm
Rectangle B: 3cm (2x+1)cm
The formula for the perimeter of a rectangle is: P=2(base+height)
Then:
But we know that the perimeters are the same, so:
With the answer of A, we realize that this figure is actually a square.