The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)
(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4
(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)
<span>The corresponding point for the fuction f(x -4) is (-4,-7)</span>
Answer:
After 140 days
Step-by-step explanation:
The next time both plants will be watered together is simply the LCM of 10 and 14.
10 has multiples: 10, 20, 30, 40 , 50 ....
14 has multiples: 14, 28, 42, 56 ....
When will they next be equal?? That's the LCM.
We first do prime factorization of the numbers and then multiply each factor the greatest number of times it occurs in either number.
<u>Prime Factorization</u>
10 = 2 * 5
14 = 2 * 7
So,
LCM = 2^2 * 5 * 7 = 140
After 140 days
Answer:
10x+5y=2
Step-by-step explanation: You have the equation 10x+5y=1 and from the problem, we are trying to find an equation that does not produce a solution with 10x+5y=1. To do this know 1 is your y-intercept and if you put 10x+5y=1 into slope-intercept form you'll get y=-2x+1/5. Solve the problem know that you can use any number besides 1 on the right side and have the same slope to fit the question. What I mean is that let's say I have 10x+5y=2, I put it into a slope-intercept form I'll have y=-2x+2/5. The two equations y=-2x+1/5 and y=-2+2/5 will not meet because their slopes are PARALLEL. So in short have a different y-intercept but the same slope to not get a solution. Additional note you could have other y-intercepts such as 3,4,5,6,7,8, or 9 in your standard form equation 10x+5y= to get a equation that does not make a solution with 10x+5y=1.
