150 because if it is going 420 in 14 hours you divide 420 by 14 which gives you 30 and then you multiply 30 x 5 and you get 150 so the bird goes 150 miles in 5 hours
Answer: 2nd one is the right one
You have 2x^2 + 9x -9 and 3x^2 -2x +14
To find total area add the two polynomials together by combining the like terms.
2x^2 + 3x^2 = 5x^2
9x + -2x = 9x-2x = 7x
-9 + 14 = 5
Total area = 5x^2 + 7x + 5
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
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To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Factors of 18: 1; 2; 3; 6; 9; 18
Factors of 27: 1; 3; 9; 27
GCF(18; 27) = 9
<span>18 + 27 = 9 × 2 + 9 × 3 = 9 × (2 + 3) </span>
