Y=3/4x+1/2
Use the equation y=mx+b and plug in the coordinates and the slope into the equation.
2=3/4(2)+b
You need to find the b (y-intercept).
2=3/2+b
1/2=b
Now that you know the slope and the y-intercept the equation is y=3/4x+1/2
Answer:
If I am understanding your question, the total upstream is 8 miles and another 8 miles downstream.
Let s = the speed of the boat in still water
d = rt
8 = 5(s + 3) downstream
8 = 5s + 15 equation 1
8 = 5(s - 3) upstream
8 = 5s - 15 Add equation 1
8 = 5s + 15
16 = 10s Divide both sides by 10.
s = 16/10 = 8/5 = 1.6 mph
The denominator. Say for instance, you have 4/12 and 1/6. They are equivalent.
Answer: B
Step-by-step explanation:
Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
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The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)