You are correct in thinking that the columns of the first matrix must match with the rows of the second matrix.
So for example, we can multiply a 1 x 5 matrix with a 5 x 7 matrix. The two matching '5's are directly what make multiplication possible in this case. For your problem, the first two '3's match and multiplication is possible.
The rows of the first matrix don't need to match with the columns of the second matrix.
Answer:
y = 4/5x + 2
Step-by-step explanation:
Standard equation given slope and y-intercept -> y = mx + b
After substituting variables m and b, you get y = 4/5x + 2.
Answer:
6.19
Step-by-step explanation:
Step 1:
w - 3.83 = 2.36
Step 2:
w = 2.36 + 3.83
Answer:
w = 6.19
Hope This Helps :)
Answer:
or 
Step-by-step explanation:
You can use the following work-rate formula:

In this case let be
the time it takes for Natalie to pick 40 bushels,
the time it takes for Mary to pick 40 bushels and
the time it takes to pick 40 bushels if they work together.
Based on the information given in the exercise, you can identify that:

Then, knowing this values, you need to substitute them into the formula:

Finally, you must solve for "t" in order to find its value.
The result is:

Since
:

Therefore it would take 5 hours and 44 minutes to pick 40 bushels if they worked together.
Answer:
1
Step-by-step explanation:
Given function:
y = px² - 4x + q
To find the points of maxima or minima
= 0
or
2px - 4 + 0 = 0
or
px = 2
or
x = [2 ÷ p]
at p = 2
x = 2 ÷ 2 = 1
To check for minima
> 0
thus,
2p - 0 > 0
2p > 0
for positive value of p function is minimum at x = 1
2) at q = 5 also x = 1 as value of x is independent of q