The answer is C. Use the quadratic formula to solve it and you should be just fine!
From the relation, d is joint proportionaly with r and t.
Thus,d = krt.
Using the first set of given, we could calculate for k.135 = k(45)(3)k = 1
Using the computed value of k.d = krtr = d/ktr = (189)/(1)(3.5) = 54 mph.
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Answer:
4
Step-by-step explanation:
2+2 =4
Hello!
To find the maximum value of the function f(x) = -3(x - 10)(x - 4), the easiest way is to find the vertex using the formula: x = -b/2a.
Firstly, we need to simplify f(x).
f(x) = -3(x - 10)(x - 4)
f(x) = -3(x² - 14x + 40)
f(x) = -3x² + 42x + -120
Since the equation f(x) is now simplified to standard form, we can find the vertex.
a = -3, b = 42, and c = -120
x = -(42)/2(-3) = -42/-6 = 7
Then, we substitute 7 into the the function f(x) = -3(x - 10)(x - 4), or
f(x) = -3x² + 42x + -120, to find the y-value of the vertex.
f(x) = -3(7 - 10)(7 - 4)
f(x) = -3(-3)(4)
f(x) = 27
The vertex of f(x) is (7, 27).
Therefore, the maximum x-value for the function f(x) is 7.
Equation of a line is given by y = mx + c; where m is the slope and c, the y-intercept.
Therefore for line y = 12x + 7, the slope is 12