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soldi70 [24.7K]
3 years ago
9

What is the solution set of the following system of equations?

Mathematics
1 answer:
9966 [12]3 years ago
6 0
5x - 3y = 10
x + y = 7......multiply by -5
------------------
5x - 3y = 10
-5x - 5y = -35 (result of multiplying by -5)
------------------add
-8y = -25
y = 25/8

x + y = 7
x + 25/8 = 7
x = 7 - 25/8
x = 56/8 - 25/8
x = 31/8

solution is (31/8 , 25/8)

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Suppose you are doing a binary search of the list [15, 18, 2, 19, 18, 0, 8, 14, 19, 14]. How many comparisons would you need to
Illusion [34]

Answer:

Three Times.

Step-by-step explanation:

First and foremost a binary search requires that the array be sorted in ascending or descending order.

After the initial step the search goes to the middle most value

i.e. [0, 2,8,14,14,15,18,18,19,19]  

will be the second 14, which is the first iteration.

Since 14 is less than 19 the search will eliminate  the lower half of the including 14, and will iterate again through the array:

[15,18,18,19,19]

The array will go to the middle most value which is 18, second iteration. Since 18 is less than 19, the program will eliminate the lower half and be left with two values i.e. [19,19].

The search will run once i.e. third iteration, and will return key value found.

7 0
3 years ago
Help me please? 15 points to anyone who can help me!"Find the number of permutations of the first nine letters of the alphabet t
gladu [14]
_{9}P_{6}=\frac{9!}{(9-6)!}=\frac{9!}{3!}=\frac{362,880}{6}=60,480
7 0
3 years ago
JT = 2x + 9,<br> CJ = 6x + 4, and<br> CT = 37,<br> Find JT.
Katyanochek1 [597]

Answer:JT=15

Step-by-step explanation:

3 0
3 years ago
Since the Boston marathon began in 1897, the finish time has been incrementally decreasing. The mean finish time to date is 231
morpeh [17]

Answer:

hello your question lacks the required options but i will provide a general answer to your question

answer : The mean value  and the standard deviation would allow us use a Z-score

Step-by-step explanation:

mean value = 231 minutes

standard deviation ( std ) = 40 minutes

sample size = 40

The parameters that would be applicable while use Z-score are : The given mean value and the standard deviation

This is because the value of a z-score gives us an information on how far we are from the mean score i.e. number of standard deviations

+Zscore means that the score  is above the average value

-Zscore means that the score is below the average value

7 0
3 years ago
Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form
Anestetic [448]

Answer:

Final answer is x-6y=23

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

\frac{1}{6}x+\frac{5}{6}=y

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

y-y_1=m\left(x-x_1\right)

y-(-3)=\frac{1}{6}\left(x-5\right)

y+3=\frac{1}{6}x-\frac{5}{6}

y=\frac{1}{6}x-\frac{5}{6}-3

y=\frac{1}{6}x-\frac{23}{6}

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is x-6y=23

6 0
3 years ago
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