Answer:
x = 1 or x = -4 or x = -6 thus d: is your answer
Step-by-step explanation:
Solve for x over the real numbers:
x^3 + 9 x^2 + 14 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 1) (x + 4) (x + 6) = 0
Split into three equations:
x - 1 = 0 or x + 4 = 0 or x + 6 = 0
Add 1 to both sides:
x = 1 or x + 4 = 0 or x + 6 = 0
Subtract 4 from both sides:
x = 1 or x = -4 or x + 6 = 0
Subtract 6 from both sides:
Answer: x = 1 or x = -4 or x = -6
Answer:
13 in
Step-by-step explanation:
let w be width then length is w + 6
the area (A) of a rectangle is calculated as
A = length × width , then
A = w(w + 6) = 91 , that is
w² + 6w = 91 ( subtract 91 from both sides )
w² + 6w - 91 = 0 ← in standard quadratic form
(w + 13)(w - 7) = 0 ← in factored form
equate each factor to zero and solve for w
w + 13 = 0 ⇒ w = - 13
w - 7 = 0 ⇒ w = 7
however, w > 0 then w = 7
and length = w + 6 = 7 + 6 = 13 in
Answer:
Area = 733 m² (to the nearest meter)
Step-by-step explanation:
<u></u>
<u>Formulae</u>
- Circumference of a circle = 2
r - Area of a circle = r²
(where r is the radius of the circle)
<u>Find the radius</u>
circumference = 96 m
Using the circumference of a circle formula:
⇒ 2r = 96
⇒ r = 96 ÷ 2 = 48
⇒ r = 48 ÷ = 48/
<u>Find the area</u>
radius r = 48/
Using the area of a circle formula:
⇒ A = r²
⇒ A = (48/)²
⇒ A = 2304/
⇒ A = 733.3859778...
⇒ A = 733 m² (to the nearest meter)
Answer:
$0.9 per pound
Step-by-step explanation:
$2.25 divided by 2.5
