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Mariana [72]
2 years ago
5

Which transformations can be used to map a triangle with vertices A (2, 2), B (4, 1), C (4, 5) to A’ (–2, –2), B’ (–1, –4), C’ (

–5, –4)?
a
a 90 degree clockwise rotation about the origin and a reflection over the y-axis

b
a 90 degree counterclockwise rotation about the origin and a translation down 4 units

c
a 180 degree rotation about the origin

d
a reflection over the y-axis and then a 90 degree clockwise rotation about the origin
Mathematics
1 answer:
Aliun [14]2 years ago
6 0
A is the the answer for you
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According to the Rational Root Theorem, which statement about f(x) = 66x4 – 2x3 + 11x2 + 35 is true? Any rational root of f(x) i
Kamila [148]

Answer:

The correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

Step-by-step explanation:

According to the rational root theorem:

if a_{0} and a_{n} are non zero then each rational solution x will be:

x= +/- Factors of a_{0} / Factors of  a_{n}

In the given polynomial we have:

66x4 – 2x3 + 11x2 + 35

a_{0} = 35

a_{n} = 66

Therefore,

x= +/- Factors of 35/ Factors of 66.

Thus the correct option is Any rational root of f(x) is a factor of 35 divided by a factor of 66....

3 0
2 years ago
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Explain and discuss why engineers usually want the minimum variance unbiased estimator achieved by using the MVUE in making engi
Triss [41]

Answer:

Since the name indicates Minimum Variance Unbiased Estimator-first of all it is a parameter estimator. Secondly, it is an unbiased estimator so that the sample is carried out randomly. I.e. whenever a sample is chosen, there is no personal bias.

Then we can consider more than one sample-based unbiased estimator but sometimes they can vary in variation. But we have always intended to select an estimator that has minimal variance.

Therefore if the unbiased estimator has minimal variation between all unbiased class estimators then it is known as a good estimator.

The advantage of MVUE is that it is impartial and has a minimal variance of all unbiased estimators amongst the groups.

At times we get an estimator such as MLE which is not unbiased because the sample can be personally biased. Now let us assume an instructor needs to find the lowest marks in a physics class. Presume an instructor picks a sample and interprets the lowest possible marks.

Again the mistake could be that the instructor may choose his favorite sample learners because the sample might not be selected randomly. Therefore it is important to select an unbiased estimate with a minimum variance.

8 0
1 year ago
40 POINTS!!!!!!!!! Given the following system of equations and their graph below, what can be determined about the slopes and y-
Mila [183]

Answer:

The slopes are the same and the y-intercepts are the same.

Step-by-step explanation:

Looking at the two systems of equations:

3x - 6y = 12

and

9x - 18y = 36

We can see that the two equations have a GCF, that GCF would be 3.

Since, 3 ( 3x - 6y = 12) =  9x - 18y = 36

or vice versa: (9x - 18y = 36)/3 = 3x - 6y = 12

Therefore, both the slopes and the y-intercepts are the same just dilated by a factor of 3.

4 0
1 year ago
Read 2 more answers
What proportion of these candy bars have more than 300 calories per serving? (Round your answer to two decimal places.)
Hatshy [7]

Answer:  0.12

Step-by-step explanation:

There are 65 candy bars. Out of that;

2 candy bars have 300 to 350 calories

1 candy bar has 350 to 400 calories

4 candy bars have 400 to 450 calories

1 candy bar has 450 to 500 calories

The total proportion out of 65 candy bars that have over 300 calories is;

= ( 2 + 1 + 4 + 1) / 65

= 8/65

= 0.12

3 0
1 year ago
your parents are buying a house for 187 500 they have a good credit rating are making a 20% down payment and expect to pay $1,57
bogdanovich [222]
For the answer to the question above, $187,500 is a cost of a house. 20%, or $37,500 is the down payment. The loan amount would be $187,500 - $37,500 = $150,000. If we assume the annual rate of the loan is 4.65% Then the monthly rate would be 4.65%/12 = 0.3875% If the loan is $150,000, the interest is 0.3875% The interest for the first month is $150,000 * 0.3875% = $581.25. You stated that their payment is $1,575. So the amount that pays off the loan is $1,575 - $581.25 = $993.75. At the end of the month, they owe $150,000 - $993.75 = $149,006.25 and for the second month, the amount of the payment that goes towards interest is $149,006.25 * 0.3875% = $577.40. and the amount that goes towards the loan is $997.60.

At the end of the second month, they owe $148,008.65. Regarding they realized income, we recommend a monthly loan payment not to exceed 28% of the monthly income.
So if a payment of $1,575 is 28% of Gross,
Then it must be
: $1,575 = 0.28*Gross. Gross = $5,625 monthly.
About $67,500 annually. About $33.75 an hour.
8 0
2 years ago
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