Answer:
x = 18
Step-by-step explanation:
Given:
Finding x for which 3b = 5a:
- 3(4x - 7) = 5(2x + 3)
- 12x - 21 = 10x + 15
- 12x - 10x = 15 + 21
- 2x = 36
- x = 36/2
- x = 18
3x-8 = 8x-33
3x-8x = -33+8
-5x = -25
x = -25/-5
x = 5
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.
The answer is 281.01
good luck
Answer:
D
Step-by-step explanation:
