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Softa [21]
4 years ago
9

Identify the vertex of y = x^2 + 4x + 5

Mathematics
1 answer:
docker41 [41]4 years ago
3 0

Answer:

D. (-2,1)

Step-by-step explanation:

we have

y=x^2+4x+5

This is the equation of a vertical parabola open upward The vertex represent a maximum

Convert the quadratic equation in vertex form

y=a(x-h)^2+k

where

(h,k) is the vertex

Complete the square

y=(x^2+4x+2^2)+5-2^2

y=(x^2+4x+4)+5-4

y=(x^2+4x+4)+1

Rewrite as perfect squares

y=(x+2)^2+1

The vertex is the point (-2,1)

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3 years ago
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The average cost of tuition and room and board at a small private liberal arts college is reported to be $8,500 per term. A fina
rewona [7]

Answer:

D. +3.82

Step-by-step explanation:

The computation of the test static for this test is shown below:

Data provided in the question

\bar x= $8,745

\mu = $8,500

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Now based on the above information, the test static for this test is

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } }

z = \frac{\$8,745 - \$8,500}{\frac{\$1,200}{\sqrt{350} } } \\

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We simply applied the above formula so that the correct value could come

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6 0
3 years ago
(5.8 x 10^-6): (2 x 10^-3) = <br> Find the quotient .<br> write answer in Scientific notation
OleMash [197]
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5 0
3 years ago
write the equation of a line that passes through the point (-3,-11) and is parallel to the line whose equation is 2x - y = 4
Vladimir79 [104]

Step-by-step explanation:

2x-y=4 means y=2x-4. -> slope of the parallel line is 2.

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Answer: Establish a national bank

Step-by-step explanation:

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