Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
Answer:
85° = ∠x {corresponding angles}
∠x = ∠1 {vertically opp. angles}
And, ∠2 + 103° = 180° ( co-interior angles)
∠2 = 180° - 103°
∠2 = 77°
Now, m∠1 + m∠2 = 85° + 77°
= 162°
Hemce, option A. is the right answer.
The answer is C)7 packages of pencils and 8 package of erasers
Pencils 8×7=56
Erasers 7×8 =56
Each pencil will have one eraser
A pattern is a recurring arrangement of numbers, forms, colours, and so on.
<h3>What is a pattern?</h3>
In mathematics, a pattern is a recurring arrangement of numbers, forms, colours, and so on. The Pattern may be applied to any form of event or object. A pattern is defined as a group of integers that are connected to each other in a specified way.
As per the pattern, Each figure has 3 more squares than the one before it.
Hence, the correct option is C.
Learn more about Pattern:
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B) y=x-4 not sure how to explain it, but because the y intercept is -4, it is almost certain that the last number will ne -4 and since x is equal to 4 y must equal x-4. Might be wrong though ('o')