Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(-
) = 27( -
)³ - a(-
) - (-
) + 3 = 0, that is
27 (-
) -
a +
+ 3 = 0
- 1 -
a +
= 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21
The sum (addition) of t and 2 is equal to (=) 5 less than (subtraction) t
2 + t = t - 5
The length of the garden bed is 6 feet
<h3>The volume of a rectangular prism</h3>
The formula for calculating the volume of a rectangular prism is expressed as:
V = lwh
If turner and his grandfather used 18 bags of topsoil, each containing 3/4 of a cubic foot, to fill the bed completely, hence;
V = 3/4 * 18
V = 13.5 cubic foot
In order to determine the length of the garden;
135/10 = 9/2 * 1/2l
27/2 =9/4 l
18l = 27 * 4
18l = 108
l = 6 feet
Hence the length of the garden bed is 6 feet
Learn more on volume of rectangular prism here: brainly.com/question/24284033
using proportional law 5.6