We will use the substitution:
t = x² ;
t² + 21 x - 100 = 0
t² + 25 t - 4 t - 100 = 0
t ( t + 25 ) - 4 ( t + 25 ) = 0
( t + 25 ) ( t - 4 ) = 0
t 1 = - 25, t 2 = 4
x = √t
Answer:
The roots are:
x 1 = 5 i
x 2 = - 5 i
x 3 = - 2
x 4 = 2
The answer is 1 2/5 ft²
The area (A) of the rectangle is:
A = w * l
w - width
l - length
We have:
w = 7/8 ft
l = 1 3/5 ft = 1 + 3/5 = 5/5 + 3/5 = (5 + 3)/5 = 8/5 ft
A = w * l
A = 7/8 * 8/5
A = 7/5 = (5+2)/5 = 5/5 + 2/5 = 1 + 2/5 = 1 2/5 ft²
The answer should be A because if you simplify X+2y+X +2 your answer would be 2x+2y+2 and if you calculate A it is the same.
The first term, a is √3 and the common ratio r is 2 and the general form of a geometric sequence is:
a(n)=a*r^(n-1) so:
a(n)=√3*2^(n-1)
Answer: $34.65
Step-by-step explanation:
Hi, to answer this question we have to calculate the area of the circular garden
Area of a circle = π r^2
We have the diameter = 20 ft
Diameter = 2radius
Replacing with the value given
20 = 2r
20/2 = r
r = 10 feet
Back with the area formula
A = π r^2
A= π 10^2
A = 314.16 ft2
Since each bag if mulch can cover 50 ft2, we have to divide the area of the garden by the amount of square feet that each bag can cover, to obtain the number of bags
314.16 /50 = 6.28 bags = 7 bags (since the store only sells whole bags)
Finally we have to multiply the price of each bag by the number of bags needed.
7x 4.95 =$34.65