Answer:
The width of the garden bed must be less than or equal to 4 feet.

Explanation:
Given that;
She has 20 feet of boards to make the sides.
The perimeter of the garden bed must not be more than 20 feet

Given;
The length is 6 feet;

To get the inequality for the width w, let us substitute the value of the length into the inequality above and simplify;

Therefore, the width of the garden bed must be less than or equal to 4 feet.
Answer:
x = ±2
Step-by-step explanation:
A equation is given to us , which is ,

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

Applying this to LHS , we have ;

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

Put square root on both sides,

Simplify ,

This is the required answer.
Answer:
a = -92
Step-by-step explanation:
<u>Step 1: Subtract 29 from both sides</u>
a + 29 = -63
a + 29 - 29 = -63 - 29
<em>a = -92</em>
<em />
Answer: a = -92
Let's call L the width of the rectangle and W its width. The area of the rectangle is the product between the length and the width, and we are also told that the area is 300 square meters, so we can write

Moreover, we know that the length is 5 meters longer than the width:

We have a system of 2 equations in 2 unknown variables, L and W. If we substitute the second equation into the first one, we get


which has two solutions: W=-20 and W=15. We can discard the negative solution since it does not have physical meaning, and now we can substitute the value of W into the second equation to find L:

<span>Therefore, the rectangle has width 15 meters and length 20 meters.</span>