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kykrilka [37]
3 years ago
5

-extra points- please help with this. all you have to do is state which method (factoring, using square roots, complete the squa

re or quadratic formula) you would use in solving the quadratic equation and why you would use it. you can only use each method once for problems A through D

Mathematics
1 answer:
MAXImum [283]3 years ago
5 0

Answer:

Step-by-step explanation:

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Given that g(x)=3x²-5x+7 find each of the following
melomori [17]
G(x) = 3x² - 5x + 7

b) g(-2) ==> Substitude -2 into x

g(-2) = 3(-2)² - 5(-2) + 7
g(-2) = 12 + 10 + 7
g(-2) = 29

c) g(4) ==> Substitude 4 into x

g(4) = 3(4)² - 5(4) + 7
g(4) = 48 - 20 + 7
g(4) = 35

d) g(-x) ==> Substitude -x into x

g(-x) = 3(-x)² - 5(-x) + 7
g(-x) = -3x² + 5x + 7

e) g(1 - t) ==> Substitude 1 - t into x

g(1 - t) = 3(1 - t)² - 5(1 - t) + 7
g(1 - t) = 3(1 - 2t + t²) - 5 + 5t + 7
g(1 - t) = 3 - 6t + 3t² - 5 + 5t + 7
g(1 - t) = 3t² - t + 5
5 0
3 years ago
Duane decided to purchase a $31,000 MSRP vehicle at a 5.5% interest rate for
defon

Answer:

(C)\$506.18

Step-by-step explanation:

Manufacturer's Suggested Retail Price = $31,000

CashBack = $4500

Amount Financed = $31,000-4500 =$26500

Interest rate Per Annum =5.5%

Rate Per Period (Monthly), r =\frac{5.5}{12}\%=\frac{0.055}{12}

Time =5 Years

Number of Periods, n=5 X 12=60 Months

Monthly \:Payment=\dfrac{rP}{1-(1+r)^{-n}}

=\dfrac{\frac{0.055}{12}*26500}{1-(1+\frac{0.055}{12})^{-60}}\\=\$506.18

5 0
3 years ago
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 m
Marta_Voda [28]

Answer:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

Step-by-step explanation:

Assuming the following dataset:

Speed   42-45  46-49  50-53  54-57  58-61

Freq.         21        15        6           4          2

And we are interested in find the mean, since we have grouped data the formula for the mean is given by:

\bar X = \frac{\sum_{i=1}^n x_i f_i}{\sum_{i=1}^n f_i}

And is useful construct a table like this one:

Speed     Freq    Midpoint   Freq*Midpoint

42-45       21            43.5       913.5

46-49       15            47.5        712.5

50-53       6             51.5         309

54-57        4            55.5         222

58-61        2             59.5        119

Total       48                           2276

And the mean is given by:

\bar X = \frac{2276}{48}=47.417

If we compare this value with the 47.3 proposed we have the following error

Error = \frac{|Actual-real|}{real}*100 = \frac{|47.417-47.3|}{47.3}*100 =0.247\%

The computed mean is close to the actual mean because the difference between the means is less than 5%.  

6 0
3 years ago
Dawn's credit card has an APR of 15%, calculated on the previous monthly
hodyreva [135]

125.13

Step-by-step explanation:

8 0
3 years ago
Make a conditional relative frequency table for The Columns of movie type. Determine which statement has the strongest associati
Vikentia [17]

Answer: Option A.

Step-by-step explanation:

The association can be found as the quotient between the elements with a given characteristic and the total number of elements.

For example, in option A we have:

A. Females prefer drama movies.

There are 72 females who like drama movies, and there is a total of 126 females, the quotient is:

Q = 72/126 = 0.57

This is the relative frequency of females who like's drama movies

Then the relative frequency table will be something like:

Males:

who prefer comedy: Q = 45/125 = 0.36

who prefer drama: Q = 15/125 = 0.12

who prefer thriller: Q = 65/125 = 0.52

Females:

who prefer comedy: Q = 36/126 = 0.29

who prefer drama: Q = 72/126 = 0.57

who prefer thriller: Q = 18/125 = 0.14

Now we want to answer, which one of the given options has the strongest association.

As larger is the value Q, larger is the association.

We can clearly see that, from the given options, the strongest association is for females who prefer drama, then the correct option is A.

6 0
3 years ago
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