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docker41 [41]
3 years ago
15

Chicago

Mathematics
1 answer:
Soloha48 [4]3 years ago
4 0
Desert Shores is below the sea level and the difference is more than 600 feet
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5x+6=2x+15 solve for x
Anna35 [415]

Answer:

the answer is:

5x - 2x = 15 - 6

3x = 9

x = 3

6 0
3 years ago
Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
4 years ago
Each table shows a proportional relatioship. fill in the missing values and determine k.
kolbaska11 [484]

Answer:

what table ..............there is no table

8 0
3 years ago
The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of
Georgia [21]

Answer:

  • 41 g per egg

Step-by-step explanation:

<u>Proportional relationship:</u>

  • y = kx

<u>Given:</u>

  • x = 6,
  • y = 246

<u>Find k:</u>

  • 246 = 6k
  • k = 246/6
  • k = 41

5 0
3 years ago
Read 2 more answers
I flip three fair coins, each with a 50-50 probability of getting heads or tails. I do not show you the results, but I tell you
forsale [732]

Answer:3/7

Step-by-step explanation:

Since a coin has a head(H) and a tail(T), if two coins are flipped, the total outcome will be 4 i.e(HH, HT, TH and TT)

If 3coins are now flipped, then we will have 8total possible outcomes. The general formula being '2^n' where n is the number of coins.

The outcomes will be matching (H,T) with (HH, HT, TH, TT) to give (HHH, HHT, HTH, HTT, THH, THT, TTH and TTT). Since at least one if the 3coins shows head, then we have 7total possible outcomes excluding TTT.

Probability that exactly two of the three coins shows head (possible outcome/total outcome)

Exactly 2heads are HHT,HTH and THH(3possible outcomes)

Total outcome is 7

P(exactly two heads) = 3/7

4 0
3 years ago
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