Answer:
(4x + 5)(4x - 3)
Step-by-step explanation:
Given
16x² + 8x - 15
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 16 × - 15 = - 240 and sum = + 8
The factors are + 20 and - 12
Use these factors to split the x- term
16x² + 20x - 12x - 15 ( factor the first/second and third/fourth terms )
= 4x(4x + 5) - 3(4x + 5) ← factor out (4x + 5) from each term
= (4x + 5)(4x - 3) ← in factored form
Well we know the algae doubles three times.
So take 50 x 2 = 100
take 100 x 2= 200
200 x 2 = 400
So the answer is A
Answer:
A
Step-by-step explanation:
1 feet=1/3 yards
7 feets = 7*(1/3) yards
7 feets=7/3 yards
7 feets=2 1/3 yards
<h2>
Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0</h2>
Step-by-step explanation:
Equation of circle with (h,k) as center and radius r is given by,
(x-h)²+(y-k)² = r²
Here we need to find equation for a circle with center (0, −4) and radius 8.
Center = (h,k) = (0, −4)
Radius = r = 8
Substituting in equation
(x-h)²+(y-k)² = r²
(x-0)²+(y-(-4))² = 8²
x²+(y+4)² = 64
x²+y²+8y+16 = 64
x²+y²+8y-48 = 0
Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0
Answer:
a.
b.
Step-by-step explanation:
The initial value problem is given as:
Applying laplace transformation on the expression
to get
Taking inverse of Laplace transformation
=
Recall that:
Then