Hello!
In this problem, we are using function arithmetic.
The term f(x) is given, which is 3x² - 2x + 1.
The term f(2) is not given, but we know half of what the function is asking for. The function of f is 3x² - 2x + 1, but we are needed to find f(2). This means we substitute x = 2 into f(x). After that, combine like terms.
f(x) + f(2)
3x² - 2x + 1 + 3(2)² - 2(2) + 1 (multiply)
3x² - 2x + 1 + 12 - 4 + 1 (simplify)
3x² - 2x + 10
Therefore, f(x) + f(2) is 3x² - 2x + 10.
Answer: <span>y - 37.5 = 2.5 ( x - 7)
Explanation:
1) The point-slope form is has this form:
y - y1 = m (x - x1)
Where m is the slope or rate of change and x1, y1 are the coordinates of the point.
2) you are told that the the rate of change of water (m) is 2.5
m = 2.5
3) The point is given by that after 7 min the rain barrel contains 37.5 gallons. This is:
x1 = 7
y1 = 37.5
</span>4) Replace those value in the point-slope model:
y - 37.5 = 2.5 ( x - 7)
That is the point-slope model or equation.
Answer:
C. 2.25
Step-by-step explanation:
The following information is missing: <em>J is at (-3, 4). K is at (4,-2).
</em>
The x value for point L such that JL and KL form a 3:1 ratio is obtained as follows:
where ratio m:n givesfraction m/(m+n), run is the distance over x-axis between J and K, and xJ is the x-coordinate of J.
- ratio 3:1 means: m/(m+n) = 3/(3+1) = 3/4
Replacing into the equation:
m/(m+n)*run + xJ = 3/4*7 + (-3) = 2.25
Answer:
(-2, -4)
Step-by-step explanation:
Use the (x,y) thing:
x = -2
y = -4
therefore, (-2, -4)
