Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
<span>Jane is playing a game with Mike. Right now, Mike is winning, he has 10 more than 5 times the points that Jane has. If Jane has 47 points, how many points does Mike have?
or you could do
</span><span>Martha is doing an inventory of all the goods in her shop. For the brand Toms shoes, she should have recieved an order that would have brought the total number of Toms shoes in her store to 10 more than 5 times the number of shoes she has now. If Martha has 89 pairs of Toms in her store, how many would she have had, if she had recieved the delivery?
hope this helped :)
alisa202</span>
-6x+3 u have to add same integers and subtract different integers
<span>I believe this question is referring to purchasing a discount on a loan's interest rate by putting more towards closing costs. For mortgages, sometimes they will allow you to "buy" a smaller interest rate. For example:
Loan A has an interest rate of 4.5% and no closing costs.
Loan B has an interest rate of 4.375%, but has $1000 in closing costs.
Normally, Loan A would be the better choice if you plan on keeping the home short term, but Loan B would be more beneficial for keeping the loan long-term. I don't really care to spend the time that is necessary to come up with an actual scenario, but I hope that helps enough for you to understand the question</span>
