Answer: the third option is correct
Step-by-step explanation:
The first matrix is a 2 × 3 matrix while the second matrix is a 3 × 2 matrix. To get the product of both matrices, we would multiply each term in each row by the terms in the corresponding column and add.
1) row 1, column 1
1×2 + 3×3 + 1×4 = 2 + 9 + 4 = 15
2) row 1, column 2
1×-2 + 3×5 + 1×1 = - 2 + 15 + 1 = 14
3) row 2, column 1
-2×-2 + 1×3 + 0×4 = - 4 + 3 + 0 = - 1
4) row 2, column 2
- 2×-2 + 1×5 + 0×1 = 4 + 5 = 9
The solution becomes
15 14
- 1 9
There you go... a. 10
If we add x to both sides, we get rid of the x on the right side which leaves us 1/2x + 2 = 7. (1/2=0.5)
Then if we substract 2 from both sides, we will get 1/2x = 5
If half of x = 5, then the whole of x = 10.
The solutions of the equations of the situation can be:
z = 1 , y = 5, x = 4
z= 2 , y = 3, x = 5
z=3 , y = 1, x = 6
z = 0 , y = 7, x =3
The question can be expressed as a equation
6 x + 8 y + 10 z = 84
also, x + y + z = 10
⇒ x = 10- y - z
Putting it in first equation,
6(10 - y - z ) +8y + 10z = 84
⇒ 60 +2y + 4z = 84
⇒2(y + 2z ) = 14
⇒ y + 2z = 7
Now putting
z = 1 , we get y = 5,
z= 2 , y = 3
z=3 , y = 1
z = 0 , y = 7
So, only 4 possible solutions.
Therefore, there can only be 4 possible solutions for the equations.
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Sorry i cant see the picture
Answer:
- The slope is 1/2
- The equation that represents this function is x -2y = 2
Step-by-step explanation:
<em>Intercepts</em>
The table shows the x-intercept to be (2, 0), and the y-intercept to be (0, -1). These are not matched by any of the answer choices.
<em>Slope</em>
The slope is ...
slope = (change in y)/(change in x) = (0 -(-1))/(2 -0) = 1/2
<em>Equation</em>
You can choose the equation by seeing if it works for a couple of points. You know the last equation is incorrect, because that slope-intercept form has the y-intercept as +1, not -1.