[-2 3] times [2
1]
comes out to -2(2)+3(1) = -1. Eliminate the first answer choice, due to
the presence of that -7 instead of -1.
[-2 3] times [0
-3]
comes out to - 9. This matches answer choices #2, #3 and #4.
[3,-4][2
1]
comes out to 6-4, or 2. Matches #2, #3, #4.
[3, -4][0
-3]
comes out to +12, which matches answer choice #4.
Answer choice #4 is the correct one.
Review matrix multiplication if need be. Feel free to ask questions here and now if need be.
5x - 7y =58
y =-x +2
Using the substitution method, replace y in the first equation with the second equation:
5x - 7(-x+2) = 58
Simplify by using the distribution property:
5x - (-7x) - 14 = 58
Simplify by combining like terms:
12x -14 = 58
Add 14 from each side of the equation:
12x = 72
Divide both sides by 12:
X = 72/12
x = 6
Now you have x, replace x in the second equation and solve for y:
y = -x +2
y = -6 +2
y = -4
X = 6, y = -4
Answer:
Step-by-step explanation:
Whenever we are doing unit conversions, we have to remember to make the first ratio and then each successive ratio should be put <em>in such a way</em> that the top and bottom cancels out with each unit and whatever we want, remains.
A simple example would be if we were to just convert from cm to mm. Suppose we want to convert 5 centimeters to millimeters. We can write the ratios is 2 ways:
First:
Second:
The first one is correct since we want mm, mm should be on top and cm should be on bottom form cm and cm to get canceled.
Now, for our problem, we want mm on top and day on bottom. So, cm and year should cancel. Looking at the first choice, the conversion factors are correct & skimming through, we see that
cm and cm cancels (top and bottom), also year and year cancels (top and bottom), it will leave us with mm on top and days on bottom, <em>which is what we want</em>.
First answer choice is right.
Answer
Where’s the graph
:
Step-by-step explanation:
Answer:
y=-1/3x-1
Step-by-step explanation:
1. Find the slope.
Start from the point on the y-axis and count down and over until you get to the other point marked on the graph. This gets you -1/3
Slope is -1/3
2. Find where the line crosses the y-axis. This is the y-intercept. On this graph, the line crosses the y-axis at (0,-1). The y-value is the intercept.
3. Put the equation in slope-intercept form. Slope intercept form is y=mx+b with mx being the slope and b being the y-intercept.
y=-1/3x-1
