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4 years ago

What is h(x)=7+10x+x^2 written in vertex form?

Mathematics

1 answer:

Morgarella [4.7K]4 years ago

6 0

Answer:

h(x) = (x + 5)² - 18

Step-by-step explanation:

Given

h(x) = 7 + 10x + x² = x² + 10x + 7

To obtain vertex form, use the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² + 10x

h(x) = x² + 2(5)x + 25 - 25 + 7

= (x + 5)² - 18 ← in vertex form

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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co

lina2011 [118]

Answer: The expected frequency for the Business college is 31.5.

Step-by-step explanation:

Since we have given that

Number of students from ABC university = 300

Number of students from Liberal Arts college = 120

Number of students in Education college = 90

Number of students in Business college = 90

Probability of students in Business college = 35% = 0.35

Probability of students in Liberal arts college = 0.35

Probability of students in Education college = 0.30

So, Expected frequency for the Business College is given by

$0.35\times 90=31.5$

Hence, the expected frequency for the Business college is 31.5.

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4 years ago

There were 137 adult dusky gopher frogs in 2014. The number of adult dusky gopher frogs has grown about 9% per year since then.

Neporo4naja [7]

Answer:

273 frogs.

Step-by-step explanation:

The equation of growth in the number of frogs N = 137(1.09)^t where t is the time in years.

The year 2022 is 8 years after 2014 so the prediction for N in 2022 is:

N = 137(1.09)^8 = 273.

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3 years ago

What are the solutions of x2 +6x-6= 10?

Ivenika [448]

Answer:

the answer is X=-8 or X= 2

Step-by-step explanation:

subtract 10 from both sides in order to eliminate 10.

x^2 + 6x -16

find two factors of -16 that sum up to 6.

-2 and 8 are two factors of -16 that sum up to 6.

(x-2)(x+8)

x-2= 0, x= 2

x+8= 0, x = -8

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3 years ago

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Math Help? 14 Points

Anvisha [2.4K]

The Solution is 5.68 x 10^5

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3 years ago

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shepuryov [24]

answer for this question is (b) - 3 x + 6 x /8x- 9

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3 years ago

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