By the factor theorem, if x + 3 is a factor of f(x) = -3x^3 + 6x^2 + 6x + 9, then f(-3) = 0
f(-3) = -3(-3)^3 + 6(-3)^2 + 6(-3) + 9 = -3(-27) + 6(9) - 18 + 9 = 81 + 54 - 9 = 126.
Therefore, x + 3 is not a factor of the given function
Bearing in mind that a whole will be 5/5, so the full pan is 5/5.
The area of the garden is 120 square metre
<h2>
Explanation:</h2>
The picture of the garden is shown below. In this problem, we have:
Recall that the area of a square is given by:
On the other hand, the area of a rectangle is given by:
Therefore:
FOR THE SQUARE:
FOR THE RECTANGLE 1:
FOR THE RECTANGLE 2:
Finally, the area of a garden is the sum of the three areas:
<h2>Learn more:</h2>
Area of a pizza: brainly.com/question/12878495
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1. You con solve the quadratic equation x^2+20x+100=50<span> by following the proccedure below:
2. Pass the number 50 from the right member to the left member. Then you obtain:
x^2+20x+100-50=0
</span><span> x^2+20x+50=0
</span><span>
3. Then, you must apply the quadratic equation, which is:
x=(-b±√(b^2-4ac))/2a
</span><span>x^2+20x+50=0
</span><span>
a=1
b=20
c=50
4. Therefore, when you substitute the values into the quadratic equation and simplify ir, you obtain that the result is:
-10</span>±5√2 (It is the last option).
Answer: 60 miles
Step-by-step explanation:
Given
It takes ferry 2 hours to travel to town A and only to travel back to town B.
Speed of current is
Suppose the speed of the ferry is mph
Distance traveled in both the cases is same, but it took more time traveling to city A that is, ferry is moving upstream and downstream for returning time.
Distance between the towns is