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Oksana_A [137]
3 years ago
12

The system of equations 2y=14-2x and y=-x+7 is graphed. What is the solution to the system of equations?

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer: Infinitely many solutions

Step-by-step explanation:

If you simplify the equation 2y=14-2x and divide everything by 2 you get y=7-x or y=-x+7 which equals the second equation perfectly so there are infinitely many solutions to the system of equations

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Please answer this correctly without making mistakes
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Answer:

The distance between the art gallery and the office supply store is 42 miles

Step-by-step explanation:

Notice that the segment that joins the office store with the art gallery, has a length that equal the distance between the art gallery and the bank, plus the distance between the bank and the office supply store. That is;

32.1 mi + 9.9 mi = 42 mi

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How to integrate sqrt(1+x^3)?
Karolina [17]
First integrate the entire thing by letting multiplying by 1/2 the entire expression raised to exponent 1/2 - 1. That is,
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3 years ago
Six distinct integers are picked from the set {1, 2, 3,…, 10}. How many selections are there, in which the second smallest integ
Ksivusya [100]

Answer:

1680 ways

Step-by-step explanation:

Total number of integers = 10

Number of integers to be selected = 6

Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.

<u>2 ways</u>   <u>1 way</u>  <u>       </u>  <u>        </u>  <u>        </u>  <u>        </u>

Each of the line represent the digit in the integer.

After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840

Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways

Therefore, there are 1680 ways to pick six distinct integers.

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