Answer:
B. The two lines are neither parallel nor perpendicular.
Step-by-step explanation:
First, put both lines into the same format. In this example, we're going to use y=mx+b format.
x - 4y = -9
-4y = -x + -9
y = (-x + -9) / -4
y = (x+9)/-4
y = (-1/4)x + (-9/4)
y = 3x - 7
If two lines are parallel, they have the same slope. (ie 4 and 4)
If two lines are perpendicular, one line's slope is the negative reciprocal of the other. (ie 4 and -1/4)
Neither is true here.
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
Multiply first then round
For this case we have the following functions:
By definition of composition of functions we have:
Then substituting:
So:
Answer:
Answer:
C. 5.0*10 superscript 6
Step-by-step explanation:
i just took the test and i got it right.
