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Afina-wow [57]
3 years ago
9

What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?

Mathematics
2 answers:
Flura [38]3 years ago
8 0

Answer:

x = - 4 ± \sqrt{\frac{41}{2} }

Step-by-step explanation:

Given

f(x) = 2x² + 16x - 9

To find the zeros, let f(x) = 0, that is

2x² + 16x - 9 = 0

Using the method of completing the square

The coefficient of the x² term must be 1

Factor out 2 from 2x² + 16x

2(x² + 8x) - 9 = 0

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

2(x² + 2(4)x + 16 - 16) - 9 = 0

2(x + 4)² - 32 - 9 = 0

2(x + 4)² - 41 = 0 ( add 41 to both sides )

2(x + 4)² = 41 ( divide both sides by 2 )

(x + 4)² = \frac{41}{2} ( take the square root of both sides )

x + 4 = ± \sqrt{\frac{41}{2} } ( subtract 4 from both sides )

x = - 4 ± \sqrt{\frac{41}{2} }

Thus

x = - 4 + \sqrt{\frac{41}{2} } or x = - 4 + \sqrt{\frac{41}{2} }

Kay [80]3 years ago
6 0

Answer:

the answer is d

Step-by-step explanation:

x = –4 – StartRoot StartFraction 41 Over 2 EndFraction EndRoot and x = –4 + StartRoot StartFraction 41 Over 2 EndFraction EndRoot

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nikitadnepr [17]
G(x) = (x - 8)^2 + 6\ \ \ and\ \ \ F(x) = x^2 + 6\\\\Ans.\ G(x)\ is\ shifted\ 8\ units\ right\ to\ the\ F(x)
8 0
3 years ago
) Final averages are typically normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor states th
Bad White [126]

Answer:

65.45

Step-by-step explanation:

Zscore = (x - mean) / standard deviation

x = score

Percentage below C :

D = 18% ; F = 12%

Sum = 30%

Obtain the Zscore for the proportion below D

P(Z < 0.30) = -0.524

Hence, Zscore = -0.524

Put Zscore = -0.524 in the equation :

-0.524 = (x - 72) / 12.5

-0.524 * 12.5 = x - 72

-6.55 = x - 72

-6.55 + 72 = x

x = 65.45

To receive a grade of C or better, score must be atleast 65.45

6 0
2 years ago
If x2 = 20, what is the value of x?
ArbitrLikvidat [17]
The correct answer is the second option: plus or minus square root of 20
Hope this helped :)
3 0
3 years ago
Read 2 more answers
3900 workers in 3 buildings. twice as many work in largest building as the smallest of the 3 . there are 500 more workers in the
Svetllana [295]
<h3><u>Question:</u></h3>

There are 3900 workers in the three main buildings downtown. Twice as many people work in the largest building as in the smallest of the three. There are 500 more workers in the second-largest building than in the smallest building. How many workers are in each building?

<h3><u>Answer:</u></h3>

There are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building

<h3><u>Solution:</u></h3>

Let "b" be the number of workers in smallest building

Given that Twice as many people work in the largest building as in the smallest of the three

number of workers in largest building = 2b

Given that There are 500 more workers in the second-largest building than in the smallest building

Number of workers in second largest building = 500 + b

Given that there are 3900 workers in 3 buildings

b + 2b + 500 + b = 3900

4b + 500 = 3900

4b = 3900 - 500

4b = 3400

b = 850

Thus there are 850 workers in smallest building

workers in largest building = 2b = 2(850) = 1700

workers in second largest building = 500 + b = 500 + 850 = 1350

Thus there are 850 workers in smallest building and 1700 workers in largest building and 1350 workers in second largest building

6 0
3 years ago
Jody has 4 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
Natalija [7]

Answer:

2:3

Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

8 0
3 years ago
Read 2 more answers
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