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Ivahew [28]
3 years ago
7

What are the coordinates of the vertex of y=x²+4x+3?​

Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

(-2, -1).

Step-by-step explanation:

y = x² + 4x + 3

Completing the square:

y = (x + 4/2)^2 - (4/2)^2 + 3

y = (x + 2)^2 - 4 + 3

y = (x + 2)^2 - 1.

This is vertex form and the coordinates of the vertex are (-2, -1).

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Use the functions f(x) = 2x2 + 3 and g(x) = 3x + 5 to evaluate the composite function. f(g(3))
Viefleur [7K]

Answer:

Step-by-step explanation:

g(x) = 3x + 5

g(3) = 3(3) + 5

g(3) = 9 + 5

g(3) = 14

-----------------------

f(x) = 2x² + 3

f(g(3)) = 2(g(3)) + 3

f(14) = 2(14²) + 3

f(14) = 2(196) + 3

f(14) = 392 + 3

f(14) = 395

-----------------------------

f(g(3)) = 395

7 0
3 years ago
Can someone help me pls
marta [7]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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7 0
4 years ago
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IrinaK [193]

Answer:

x = 3

< D = 26

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Step-by-step explanation:

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8 0
3 years ago
The diameters of cherry tomatoes produced by a large farm have an approximately Normal distribution, with a
Citrus2011 [14]

Answer: D. 0.9967

Step-by-step explanation: To solve this, you need to do the z-score formula with both numbers. So 30-22/2.5 = 3.2. On the z-score chart, that equals .9993. Hold onto that number. Then you do the same with 15. 15-22/2.5 = -2.8. On the z score chart, that equals .0026. Subtract those numbers. .9993 - .0026 = .9967. It's not as compacted as it looks <3

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