Solve the following systems algebraically a. x+2y=17 x-y=2
1 answer:
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Answer:
B: 11 minutes.
Step-by-step explanation:
So, we know that the machine prints at a constant rate.
After 3 minutes, the machine prints 108 posters.
So, let’s find the <em>unit rate. </em>We will divide the output over the input. So:
So, the unit rate of the machine is 36 posters per minute.
We can write an equation. If t represent the number of minutes and p represent the amount of posters, then:
Gives the amount of posters p and t minutes.
We want to know how long it will take Jeffrey to make 396 posters.
So, we can substitute 396 for p and solve for t. Hence:
Divide both sides by 36:
Therefore, it will take Jeffrey 11 minutes to make 396 posters.
The equation 
is plotted on graph below (red line)
Translating
three units to the left can be done by choosing any coordinates on .
Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)
The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5
By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5
The equation of translated line is given
Translating
Let choose (0,0) and (2,1)
Translating 3 units on to the left gives the new coordinates (0-3, 0)=(-3,0) and (2-3, 1)=(-1, 1)
The gradient of the two functions will stay the same since the lines are parallel to each other, so m = 0.5
By joining the two coordinates (-3,0) and (-1,1), we see that the translated line crosses y-axis at 1.5
The equation of translated line is given
When
you would have to use comon multiples to find what both numbers have in common, a short way of finding this would be
where (a) is the answer of the equation, (a) would be 2 because 8*2=16 meaning
you would have to use comon multiples to find what both numbers have in common, a short way of finding this would be
where (a) is the answer of the equation, (a) would be 2 because 8*2=16 meaning