I really hope this helps. I’m sure the answer is c:)
Answer:
c
Step-by-step explanation:
the normal equation is 120 and c is 120
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:
<h3>Mass of B in Kg = -558.44kg</h3>
Step-by-step explanation:
LET'S DO THIS!
Total mass of A, B and C = 1.95kg
Mass of A = 700 kg
Mass of B = 4x the mass of c (4 x C) which is 4c
Mass of C = ? ( let's call it C )
<h3>Adding all together </h3>
700 + 4c + C = 1.95
<h3>Add like terms</h3>
700 + 5C = 1.95
5C = 1.95 - 700
5C = -698.05
C = -698.05 ÷ 5
<h3>C = -139.61</h3>
<h3>To find B now </h3><h3>Remember they said B is 4 times the mass of C and C = -139.61</h3>
therefore B = 4 × -139.61
<h3>B = -558.44 kg </h3>
<h3>To check if we are correct, we add the masses of A, B and C to see if it equals their total mass which is 1.95kg</h3>
<h3>Using your calculator: </h3>
= 700 + ( -558.44 ) + ( -139.61 )
= 700 - 558.44 -139.61
= 1.95 kg
Which makes us CORRECT ✅.
<h3>Hope this helps.</h3><h3>Good luck ✅.</h3>
