Answer:
f(x)= -0.4x+107
Step-by-step explanation:
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:
20) 2/32 so colour 2 boxes
21) 7/16
22) 2/60
23) 3/8
24) 35/63 or 5/9
25) 7/32
26) 45/60 or 9/12 or 3/4
27) 1/32
28) 3/21 or 1/7
29) 13/6 × 9/2
= 117/12
30) 3/4 × 17/2
= 51/8
31) 9/8 × 10/3
= 90/24
= 45/12
= 15/4
32) 16/5 × 2/3
= 32/15
sorry if theres any calculation mistake becoz i did all the calculations in mind
Step-by-step explanation:
The different statements and reasons to prove that −3(x + 8) = −21 are as detailed below.
<h3>How to utilize properties of Algebra?</h3>
Statement 1; −3(x + 8) = −21
Reason 1; Given
Statement 2; −3(x + 8)/-3 = −21/-3
Reason 2; Division property of Equality
Statement 3; x + 8 - 8 = 7 - 8
Reason 3; Subtraction Property of Equality
Statement 4; x = -1
Reason 4; Given
Read more about properties of Algebra at; brainly.com/question/855307
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The answer is
RS=3 x 2 + 1, ST= 2 x 4 -2, RT= 64, i'm sorry if it didn't help
