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.
1.4
To make a percent a decimal, divide it by 100.
140 ÷ 100
= 1.4
♧
Answer:
y=2x-3
Explanation:
which equation represents the relationship between x and y shown in the table?
x | y
2 | 1
4 | 5
6 | 9
8 | 13
take a look at the values in the table one more,
we find the gradient of the line to be
G=y2-y1/(x2-x1)
G=13-1/(8-2)
slope/gradient=12/6
m=2
from equation of a line graph, we know
y=mx+c
m=gradient
c=intercept
y=vertical axis
x=a point on the horizontal axis
y=2x+c
when x=6, y=9
9=2(6)+C
c=-3
Therefore the equation becomes
y=2x-3
Step-by-step explanation:
Answer:
The distance between house to work is 13 miles .
Step-by-step explanation:
Given as :
The distance that man travel to north = OA = 5 miles
Now, From north ,man turn right and travel to east
So, The distance that man travel to east = AB = 12 miles
Let The distance between house to work = x miles
So, x miles is the displacement from north to east direction
i.e x = 
Or, x = 
Or, x = 
∴ x = 13
So, The distance between house to work = x = 13 miles
Hence, The distance between house to work is 13 miles . Answer
0.9 is the answer hope it helps.
