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dem82 [27]
3 years ago
6

Solve 2x2 + x − 4 = 0 using completing the square

Mathematics
1 answer:
Archy [21]3 years ago
6 0
2x^2+x-4=0
x^2+\dfrac12x-2=0
x^2+\dfrac12x+\dfrac1{16}-\dfrac{33}{16}=0
\left(x+\dfrac14\right)^2=\dfrac{33}{16}
x+\dfrac14=\pm\dfrac{\sqrt{33}}4
x=\dfrac{-1\pm\sqrt{33}}4
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An aircraft has a total time in service of 468 hours. The Airworthiness Directive given was initially complied with at 454 hours
Georgia [21]

Answer:

440 hours

Step-by-step explanation:

In this case the aircraft has completed one cycle of service in the first 454 hours of service. Then making the difference between the hours of service and the hours of the first cycle we have:

Hours of the second cycle= Total time in service- time Airworthiness Directive

=468-454=14

Then we have 14 hours of service and need to accumulate the rest to complete 454. It is

454-14=440

Then we need to accumulate 440 hours additional to complete the Airworthiness Directive .

6 0
2 years ago
"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o
liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0
3 years ago
I need help on this question for the beginning of the year test
nika2105 [10]

Answer:

She still has to cut 1 3 /16

Step-by-step explanation:

Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 to improper fraction, it becomes 15/4 inches.

She already cut off 2 9/16 inches converting to improper fractions it becomes 41/16 inches.

15/4 - 41/16 = (60-41)/16 = 19/16 inches

19/16 = 1.187 ~ 1

19 - (16 x 1) =3

8 0
3 years ago
How much higher is 500 than 400 m?
AnnyKZ [126]

Answer:

100m?

Step-by-step explanation:

Uh 100? is the 500m or something else I am assuming 500m perhaps.

3 0
3 years ago
Read 2 more answers
Does this table represent a function? Why or why not?
arsen [322]

Answer:

D

Step-by-step explanation:

Because their are more than one ranges

6 0
2 years ago
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