You are knitting a blanket. You want the area of the blanket to be

$$24\ ft^2.$$

You want the length of the blanket to be 2 ft longer than its width. What should the dimensions of the blanket be?

The archway to the entrance of an art gallery can be modeled by $y = - \frac { 1 } { 3 } ( x - 5 ) ( x + 5 ) ,$ where $x$ and $y$ are measured in feet. The x-axis represents the floor. Find the width of the arch at floor level.

Solve each equation by factoring.

$$5x^2=15x$$

The graph of a quadratic function passes through the point (2, 0). The vertex of the graph is (-2, -16). Use symmetry to identify another point on the function's graph. Explain how you determined your answer. Write the equation of the quadratic function.

One more rectangular -shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft². The length is 1 less than 3 times the width. How wide should the metal piece be? Round to the nearest hundredth of a foot.

You have a friend, Rachel, who cannot remember where she left a check she had received from a relative for her birthday. She remembers having drunk several cups of tea the morning she received the check, and she remembers taking it to her bedroom. Explain how Rachel can take advantage of context-dependent memory and state-dependent memory to remember where in her bedroom she left the check.

Identify the method of data collection the situation describes. A park ranger measures and records the heights of trees in a park as they grow.

Use the Zero-Product Property to solve each equation.

$$( 4 k + 5 ) ( k + 7 ) = 0$$

Convert each angle in degrees to radians. Express your answer as a multiple of $\pi.$ $180^{\circ}$

Find the sum. (2d + 3) + (4d – 6)

What is the difference between gray matter and white matter in the brain? Where is each found?

$$A=\left[\begin{array}{lll}{2} & {0} & {0} \\ {0} & {4} & {0} \\ {0} & {0} & {5}\end{array}\right]$$

. Find $A^{-1}$.

Which of the following is a solution of $x^{2}+14 x+112=0$? If necessary, round to the nearest hundredth. F. x=-0.24 G. x=-4.24 H. x=4.24 I. no solution

What supports vegetation and is a critical resource for people living in the desert?