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N76 [4]
3 years ago
10

COMPLETE THE SQUARE TO REWRITE Y=X>2+8X+3 IN VERTEX FORM , AND THEN IDENTIFY THE MINIMUN Y-VALUE OF THE FUNCTION

Mathematics
1 answer:
kicyunya [14]3 years ago
6 0

Answer:

The vertex form is y = (x + 4)² - 13

The minimum value of the function is -13

Step-by-step explanation:

∵ y = x² + 8x + 3

∵ 8x ÷ 2 = 4x ⇒ (x) × (4)

∴ We need ⇒ x² + 8x + 16 to be completed square

∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16

∴ y = (x + 4)² - 13 ⇒ vertex form

∵ The vertex form is (x - a)² + b

Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)

∴ The minimum value is -13

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A number increased by 4 is the same as 19 minus 2 times the number
ElenaW [278]

Hello from MrBillDoesMath!

Answer:

n = 5


Discussion:

Let the original number be "n"  Translating the problem  statement to mathematical symbolism:

n + 4 = 19 - 2n                   =>  add 2n to both sides

n + 2n + 4 = 19 - 2n + 2n  =>  combine like terms

3n + 4 = 19                        => subtract 4 from both sides

3n = 19 -4  = 15                 => divide both sides by 3

n = 15/3 =5


Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.


Thank you,

MrB

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3 years ago
Need help???!!!!!!!!!!!!!!!
solong [7]

Answer:

E

Step-by-step explanation:

because it makes sense

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the only statement that is true is the one in option D.

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<h3>Which of the statements are true regarding dot plots, bar graphs, and histograms?</h3>

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Thus, what these graphs do represent are populations in a data set with a given property.

Remember that data is usually discrete, so we usually use dot plots and bar graphs to represent discrete data.

Histograms show distributions of numerical data (it can be used for continuous or discrete data).

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