Answer:
C. The line does not go through the origin.
Step-by-step explanation:
We have been given a straight line graph that doesn't pass through origin (0,0) and has y-intercept at (0,3).
Now we need to decide why that graph doesn't represent a direct variation.
We know that graph represents variation when it passes through origin. But since given graph doesn't passes through origin so it doesn't represent the direct variation.
Correct choice is :
<u>C. The line does not go through the origin.</u>
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The equation is "x=0", because the x intercepts at the x axis with no y-intercept.
We are asked to find unknown or the missing number to complete the polynomial given in the problem which is x² + ?x -49. First, let us equate the number to be equal to zero such as it would become x² + ?x - 49 = 0. Next, we need to find the factors such that it would produce a difference of squares and these two factors are a = +7 and b = -7. Hence, the complete solution is shown below:
(x + 7) (x-7) = 0
perform distribution and multiplication of terms such as shown below:
x² + 7x - 7x - 49 = 0
Combine the same term such as we can either add or subtract +7x to -7x and the result will be equal to 0x.
x² + 0x - 49 = 0
Therefore, the missing number is 0. The answer is 0 which will result to x² +0x - 49.
Hello!
You can solve this algebraically
7w < -42
Divide both sides by 7
w < -6
The answer is any number less than -6 or w < -6
Hope this helps!