<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
Answer:
a) see the plots below
b) f(x) is exponential; g(x) is linear (see below for explanation)
c) the function values are never equal
Step-by-step explanation:
a) a graph of the two function values is attached
__
b) Adjacent values of f(x) have a common ratio of 3, so f(x) is exponential (with a base of 3). Adjacent values of g(x) have a common difference of 2, so g(x) is linear (with a slope of 2).
__
c) At x ≥ 1, the slope of f(x) is greater than the slope of g(x), and the value of f(x) is greater than the value of g(x), so the curves can never cross for x > 1. Similarly, for x ≤ 0, the slope of f(x) is less than the slope of g(x). Once again, f(0) is greater than g(0), so the curves can never cross.
In the region between x=0 and x=1, f(x) remains greater than g(x). The smallest difference is about 0.73, near x = 0.545, where the slopes of the two functions are equal.
<span>If you are adding a constant, then the graph is either raised or lowered k units.
For example.... If you have the graph of y = x^2
and now you add 3, so your new graph of x^2 + 3, will be the same graph as x^2 but raised vertically 3 units.
The graph of x^2 - 7 will be the graph of x^2 lowered vertically 7 units.
I hope my answer has come to your help. God bless and have a nice day ahead!</span>
1 kg = 1000 grams
? kg = 1575 grams
1.575 kg = 1575 grams
1,575 grams is 1.575 kilograms.