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dsp73
3 years ago
8

What is the solution to the system of equations? {2x+3y=23 4x−5y=13

Mathematics
1 answer:
Sliva [168]3 years ago
3 0
The answer is (7, 3)
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when drawing a marble from a bag that has 6 pink marbles, 3 blue marbles, and 7 green marbles. What is the probability of green.
Nana76 [90]

Answer:

B

Step-by-step explanation:

The total number of marbles in the bag is 3 + 6 + 7 = 16

The number of green marbles is 7

The probability is 7/16

5 0
2 years ago
Show that there do not exist scalar c1 c2 and c3 c1(-2,9,6)+c2(-3,2,1)+c3(1,7,5)= (0,5,4)​
fredd [130]

This is the same as showing the following system of equations doesn't have a solution:

\begin{cases}-2c_1-3c_2+c_3 = 0 \\ 9c_1 + 2c_2 + 7c_3 = 5 \\ 6c_1 + c_2 + 5c_3 = 4\end{cases}

or in matrix form,

\begin{bmatrix}-2&9&6\\-3&2&1\\1&7&5\end{bmatrix}\begin{bmatrix}c_1\\c_2\\c_3\end{bmatrix} = \begin{bmatrix}0\\5\\4\end{bmatrix}

The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.

And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:

(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)

So there are indeed no such scalars <em>c₁</em>, <em>c₂</em>, and <em>c₃</em>.

5 0
3 years ago
Given the functions below, find f(x) - g(x) f(x) = 3x^2 + 2x + 1 g(x) = x^2 - 6x + 3
saveliy_v [14]

Answer:

Here is your answer.....

Hope it helps....

5 0
2 years ago
What proportional segment lengths verify that BC¯¯¯¯¯∥DE¯¯¯¯¯ ? Fill in the boxes to correctly complete the proportion. $$ = $$
Alborosie

answer is

4/6 then 3.2

took the test

5 0
3 years ago
Read 2 more answers
Original price of a soda: $800 tax 7% selling price: $
Kobotan [32]

Answer:

$856

Step-by-step explanation:

Find 7% of $800 and then add it to $800

3 0
3 years ago
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