Answer:
x = i and x = i
Step-by-step explanation:
Given
+ 6x² + 5 = 0
Using the substitution u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Convert solutions back into terms of x
x² = - 1 ⇒ x =
= i
x² = - 5 ⇒ x =
= i
Answer:
The required equation is:
0.23x = 52
Hence, option A is true.
Step-by-step explanation:
Given
Let 'x' be the initial depth
The snow is now 52 inches deep and it is a 77% decrease.
Let the initial 'x' depth be represented as 100%.
x → 100%
Given the current 52 inches is a 77% decrease. So, we need to decrease the 77/100 or 0.77 from the initial depth, so
[100% - 77%] of x = 52
[100/100 - 77/100] × x = 52
[1 - 0.77] × x = 52
0.23x = 52
Therefore, the required equation is:
0.23x = 52
Hence, option A is true.
Answer:
2356 flowers
Step-by-step explanation:
The number of flowers will be given by
F=1+p/s
Where p is perimeter and s is rhe spacing
Perimeter of a circle is given by

Where r is the radius of the garden.
Substituting 125 ft for radius, rhe perimeter will be

Conversion
Converting ft to inches, we multiply ft by 12 hence 785*12=9420 inches
Number of flowers will then be
F=1+9420/4=1+2355=2356 flowers