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Grace [21]
2 years ago
8

Write the quadratic equation where the roots are -1/3 and 5

Mathematics
1 answer:
STALIN [3.7K]2 years ago
7 0

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

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You work for a company that makes tiles for patios. A customer sent you the following picture of his patio. He said the patio is
Mumz [18]

Answer:3 by 1

Step-by-step explanation:

okay so I'll say the long side of a tile as x

the short side of a tile as y

look at the short side of the big patio first, it's made up of 2 big and 2 small

so 2x+2y=8 or x+y=8 so two added together is 8. So one possibility is 3 and 1 because (3+1)2 = 9

8 0
2 years ago
Help will mark brainliest answer
Naddika [18.5K]

Answer : 110 degree

To find angle 1 , we apply outside angle theorem  Lets name each point  Measurement of arc EF=280 degrees  

Measurement of arc GH = 60

Angle D = angle 1

Please refer to the theorem attached below  

angle D = \frac{arc(EF)-arc(GH)}{2}

Now we plug in the values

angle 1 = \frac{280-60}{2}

angle 1 = 110

Measurement of angle 1 = 110 degrees

5 0
3 years ago
The time taken to assemble a laptop computer in a certain plant is a random variable having a normal distribution of 20 hours an
ludmilkaskok [199]

Answer:

a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 20, \sigma = 2

a)Less than 19.5 hours?

This is the pvalue of Z when X = 19.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{19.5 - 20}{2}

Z = -0.25

Z = -0.25 has a pvalue of 0.4013.

40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.

b)Between 20 hours and 22 hours?

This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So

X = 22

Z = \frac{X - \mu}{\sigma}

Z = \frac{22 - 20}{2}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 20

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 20}{2}

Z = 0

Z = 0 has a pvalue of 0.5

0.8413 - 0.5 = 0.3413

34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.

4 0
3 years ago
Create a function that has two distinct roots: - 3/4 and -1?
asambeis [7]

Step-by-step explanation:

Sorry I cant get any more answers but I really hope that this helps

3 0
2 years ago
Read 2 more answers
Add. reduce to lowest terms.<br> 6 4/5 + 3 7/10=
KiRa [710]
I would like to help but i dont know either
7 0
3 years ago
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