You can reword the two equations as:
-5x-y=15 (Divide original value by 3)
-2x+6y=6
Then use elimination to find x:
-30x-6y=90 (Multiply by 6 to get y values to be same to cancel out)
-2x+6y=6
You're left with:
-32x=96. Which can then be solved to find x which is -3.
Then plug back in
-2x+6y=6
Now to: -2(-3)+6y=6.
Which reduces to 6+6y=6. So y=0.
To graph them, just reword the equations (yes once again) so that y is in front.
y=-5x-15 and y=(1/3)x+1
Answer:
B and D
Step-by-step explanation:
<u>Answer:</u>
The correct answer option is A. y = 5x + 29.
<u>Step-by-step explanation:</u>
We are given the following equation of a line and we are to identify the equation of a line parallel to this line which passes through (-6, -1), in slope intercept form:
Parallel lines have same slope, so the slope of this line will be 5.
Finding the y-intercept using the standard equation of line.
Therefore, our equation will be:
Divide the distance by the time and you will get your answer
Step-by-step explanation:
FORMATION OF TABLE FOR THE FUNCTION
As t represents the temperature in degrees Fahrenheit and c represents the number of cricket chirps per minute.
Considering the function
when
then
when
then
when
then
when
then
when
then
when
then
when
then
So
Lets form the data table for this function based on the determined values
PART 1)
Considering the function
As we know that
when
then
- Meaning the number of chirps per minute would increase to , when the temperature t in degrees Fahrenheit increase to 60.
The appropriate logic is that the speed at which cricket chirps is based on the temperature. The table table also indicates that as the temperature t increases, the number of cricket chirps also increases.
PART 2)
- A rate of change is a rate that determines how one quantity changes in relation to another quantity.
Considering the two points
It logically means for every increase of units in (temperature in degrees Fahrenheit), the value of (number of chirps) is increasing to units.
Thus, the rate of change will be .
Part 3)
Considering the function
The data table for this function
Putting in the function brings the value of as .
i.e.
Yes, it does make sense.
Its logical meaning is that at the start, when the value of was temperature in degrees Fahrenheit, then the value of (number of chirps per minute) was .