Question

Write an inequality for x that

Answer 1

Question 1:

For this case we must solve the following expression:

$\frac {k} {3} + 4-2k = -9k$

Adding 9k to both sides of the equation we have:

$\frac {k} {3} + 4-2k + 9k = -9k + 9k\\\frac {k} {3} + 4 + 7k = 0$

Subtracting 4 from both sides of the equation:

$\frac {k} {3} + 4-4 + 7k = -4\\\frac {k} {3} + 7k = -4\\\frac {k + 21k} {3} = - 4\\\frac {22k} {3} = - 4$

Multiplying by 3 on both sides:

$22k = -12$

Dividing between 22 on both sides:

$k = \frac {-12} {22}\\k = - \frac {6} {11}$

Answer:

$k = - \frac {6} {11}$

Question 2:

For this case we have that by definition, the area of the rectangle is given by:

$A = a * b$

Where a and b are the sides of the rectangle.

If the area is at least$246ft ^ 2$ we have:

$A \geq246$

That is to say:

$8 (2x + 4) \geq246\\16x + 32 \geq246\\16x \geq246-32\\16x \geq214\\x \geq \frac {214} {16}\\x \geq13.375$

Answer:

$x \geq13.375$

Answer 2

Answer:

14

Step-by-step explanation: