The value of n in the given equation is -2.6
Step-by-step explanation:
Given,
10 = 
To find the value of n
10 =
or, 10(3n+8) = 2 [ by cross multiplication]
or, 30n + 80 = 2
or, 30n = 2-80 [ taking the constant values in one side]
or, 30n = -78
or, n = 
or, n = -2.6
Answer:
Step-by-step explanation:
here you go mate
step 1
x + 7 < 9 equation
step 2
x + 7 < 9 subtract -7
x+7(-7)<9(-7)
answer
x<2
Answer:
You can not see the picture
Step-by-step explanation:
Answer:
158 in²
Step-by-step explanation:
<u>Surface area</u>
A = 2·(l·w + l·h + w·h)
= 2·(3in·8in + 8in·5in + 3in·5in)
= 2·(24in² + 40in² + 15in²)
= 2·(79in²)
= 158 in²
al3xis
Because the vertex of the parabola is at (16,0), its equation is of the formy = a(x-10)² + 15
The graph goes through (0,0), thereforea(0 - 10)² + 15 = 0100a = -15a = -0.15
The equation is y = f(x) = -0.15(x - 10)² + 15
The graph is shown below.
Part A
Note that y = f(x).
The x-intercepts identify values where the function or y=0. The x-intercepts occur at x=0 and x=20, or at (0,0) and (20,0).
The maximum value of y occurs at the vertex (10, 15) because the curve is down due to the negative leading coefficient of -0.15.
The curve increases in the interval x = (-∞, 10) and it decreases in the interval x = (10, ∞).
Part B
When x=12, y = -0.15(12 - 10)² + 15 = 14.4When x=15, y = -0.15(15 - 10)² + 15 = 11.25
The average rate of change between x =12 to x = 15 is(11.25 - 14.4)/(15 - 12) = -1.05
This rate of change represents the slope of the secant line from A to B. It approximates the rate at which f(x) decreases in the interval x =[12, 15].
