Answer:
y =
Step-by-step explanation:
So we are trying to put this equation in the form, y = mx + b.
First we add 8x to both sides;
10y = 8x - 5
Divide both sides by 10
y =
So we have to reduce the fractions to their lowest terms;
y =
Answer:
The subsets are
{7,6}
{7}
{6}
{ }
There are four subsets
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Explanation:
A subset is simply a set that contains one or more members of the original set. So all we do is list various ways to pick items from {7,6}. We could pick both items and simply write down the original set itself. Any set is a subset of itself.
Or we could pick one value from the set and have {7} or {6}. These sets are called singletons, as they contain one single value.
Finally, we could have a set with nothing inside it. We write this as { } which is a pair of curly braces with space between them to indicate "empty set". A special symbol for the empty set is
Note how the original set has n = 2 members. The rule is that there will be 2^n = 2^2 = 4 subsets. If the original set had say n = 3 members, then there would be 2^n = 2^3 = 8 different subsets. And so on. The collection of all the subsets possible is called a power set.
Short Answer: It would be <span>135.68</span>
Answer:
x-intercept is (2,0) [The x-intercept means that it takes 2 hours for the temperature to reach 0°C]
y-intercept is (0, -6) [The y-intercept represents the temperature at sunrise, -6°C]
Step-by-step explanation:
<u>Complete Question:</u>
<em>The air temperature is -6 degrees celcius at sunrise and rises 3 degree celcius every hour for several hours. The air temperature after x hours is represented by the function f(x) = 3x - 6. Find the x-intercept and y-intercept and interpret their meaning.</em>
<em />
- The x-intercept is the x-axis cutting point found by setting y = 0 [function = 0]
- The y-intercept is the y-axis cutting point found by setting x = 0
Lets find x-intercept first:
f(x) = 3x - 6
0 = 3x - 6
3x = 6
x = 6/3
x = 2
x-intercept is (2,0)
Now, lets find y-intercept:
f(x) = 3x - 6
f(x) = 3(0) - 6
f(x) = -6
y-intercept is (0, -6)
The x-intercept means that it takes 2 hours for the temperature to reach 0°C
The y-intercept represents the temperature at sunrise, -6°C