Answer:
The scale factor is 
Step-by-step explanation:
we know that
The scale factor is equal to the ratio between the side length of the scale drawing to the corresponding side length in the actual
so
Answer:
t = 1
Step-by-step explanation:
16 - 2t = t + 9 + 4t; move numbers and t's
-16 -16 ; subtract 16 from both sides
-2t = 5t -7 ; subtract -5t from both sides
-5t -5t
--------------
-7t = -7 ; divide by -7
t = 1
Answer:
charges for the first hour = $7.55
charges for each additional hour = $1.55
c = 1.55h + 7.55
Step-by-step explanation:
Let
x = charges for the first hour
y = charges for each additional hour
x + 2y = 10.65 (1)
x + 5y = 15.30 (2)
Subtract (1) from (2)
5y - 2y = 15.30 - 10.65
3y = 4.65
y = 4.65/3
= 1.55
y = $1.55
Substitute y = 1.55 into
x + 2y = 10.65
x + 2(1.55) = 10.65
x + 3.10 = 10.65
x = 10.65 - 3.10
= 7.55
x = $7.55
c = 1.55h + 7.55
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].
Answer:
Step-by-step explanation:
each zero of the function will have a factor of (x - x₀)
h(x) = a(x + 3)(x + 2)(x - 1)
h(x) = a(x + 3)(x² + x - 2)
h(x) = a(x³ + 4x² + x - 6)
or the third option works if a = 1
however this equation gives us the points (0, -6) and (-1. -4), so "a" must be -2
h(x) = -2x³ - 8x² - 2x + 12
to fit ALL of the given points as it fits the three zeros and also h(0) and h(-1) so I guess that is why the given group is a <u><em>partial</em></u> set of solution sets
