The correct answer would be 150 ^-^
Answer:
D.
C.
Step-by-step explanation:
For the first question, you just need to think about what plus 1/2, or 2/4, equals 3/4. This would be D. or 1/4 because 1/4 + 2/4 = 3/4
For the second question, what number minus 4.4 gets you 13.2. This would have to be C. 17.6 since nothing else even makes sense
When you expand the binomial, you isolate each of the parts.
So, (x-y)^4 would turn into...
x^4 - y^4
The powers stay the same because (outside the parenthesis) you multiply them with whatever is inside the parenthesis. In this case, would be 1. All variables and numbers without a listed power have a power of one. Multiply 4*1 to get 4.
The slope of the line is - 3/4
I got my ordered pairs by finding two points on the lines, an noting down their X and Y values.
Then I used the equation Y2 - Y1 (all over) X2 - X1 by plugging in the ordered pairs.
Finally, I solved and got -3/4!
See the attached picture below
Additionally, you can use rise over run, and count the rise and the run. In the image, the rise is three, and the run is four. The slope is negative, which leaves me to know that the answer is -3/4.
Hope this helps :)
Take a look at the possible answers and see if any make sense.
Yes, it is a proportional relationship because the graph goes through the origin* Sorry, but the line you mentioned DOES NOT go through the origin. So this can't be the answer.
Yes, it is a proportional relationship because the graph is a straight line* The line isn't a straight line. The slope between points (0,2) and (1,6) is 4. The slope between (1,6) and (2,10) is 4. But the slope between (2,10) and (3,12) is 2. So the line isn't straight. So this too is the wrong answer.That right there eliminates half the choices because those choices describe things that are NOT in the graph you've been given. Now you have to think for which of the two remaining choices are correct.
No, it is not a proportional relationship because the graph is not a straight line* This is true. The graph for a proportional relationship is a straight line that passes through the origin. And the points you specified are not for a straight line.
No, it is not a proportional relationship because the graph does not go through the origin* And this too is true. The line doesn't pass through the origin. And as mentioned above, the graph of a proportional relationship is a STRAIGHT line and passes through the origin.
My personal opinion is that you mistyped, or misread something about the problem and because of that, it's currently impossible to determine which of the last 2 options is the correct one. I suspect the last ordered pair should be 3,14 and not the 3,12 you've entered. Reason for that is the slope is OK for points 1 through 3, but the 4th point is an outlier. If that's the error, then the correct answer is the last option.
