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madam [21]
4 years ago
9

Which of the following shows the equation y = x2 + 8x + 14 in vertex form?

Mathematics
1 answer:
Svetach [21]4 years ago
5 0

y =  {x}^{2}  + 8x + 14
y =   ({x}^{2} + 2(x)(4) + (4)^{2} ) - 2
y =  {(x + 4)}^{2}  - 2

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Answer:

Step-by-step explanation:

To find the value of b, we need to isolate it on one side of the inequality. We can do this by subtracting 2x from both sides, which gives us b > -3 - 2x.

Since we want x to be greater than 3, we can plug in the value 3 for x on the right-hand side of the inequality. This gives us b > -3 - 6, or b > -9.

Therefore, the value of b that makes the inequality true is any value that is greater than -9. For example, b could be -8, -7, -6, or any other value that is greater than -9.

To check if our solution is correct, we can plug in the value of b and the value of x (3) into the original inequality to see if it is true. If we plug in -8 for b and 3 for x, we get the inequality 2x + b > -3, which simplifies to 2 * 3 + (-8) > -3, or 6 - 8 > -3, which is true. Therefore, our solution is correct.

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Answer:

The small box contains 21 cans

<em></em>

Step-by-step explanation:

Represent the small box with S and the large with L.

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Required

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Open bracket

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128 + 2S = 170

Collect Like Terms

2S = 170-128

2S = 42

Divide both sides by 2

S = 21

<em>Hence, the small box contains 21 cans</em>

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