From the graph, when x = 1, y = 57,000.
Replace x with 1 in the equations and see if any of the Y 's equal 57,000 :
y = -2610.82(1) + 47860.82 = 45,250
y = 219(1)^2 - 6,506.78(1) + 59,385 = 219 - 6506.78 + 59385 = 53,097.22
y = 54041.5(0.9)^1 = 48,637.35
y = 10,504.6 (1.1)^1 = 11,555.06
The second equation is the closest. so try another x value to see if it is close to the Y value:
Let's try x = 14:
y = 219(14)^2 - 6506.78(14) + 59,385 = 42924 - 91094.92 + 59385 = 11,214.08
This is close to Y = 12,00 shown on the graph
SO the closest equitation is y = 219x^2 - 6506.78x + 59385
Answer:
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Step-by-step explanation:
Given;
The height function S(t) of the rocket as;
S(t) = -16t2 + 208t
The maximum altitude Smax, will occur at dS/dt = 0
differentiating S(t);
dS/dt = -32t + 208 = 0
-32t +208 = 0
32t = 208
t = 208/32
t = 6.5 seconds.
The maximum altitude Smax is;
Substituting t = 6.5 s
Smax = -16(6.5)^2 + 208(6.5)
Smax = 676 ft
the maximum altitude (height) the rocket will attain during its flight is 676 ft
Answer
12
Step-by-step explanation
there is 15 of each color 3 take away 15 equals 12 red skittles left
Equivalent expressions are expressions with equal values
The equivalent expression is 16.5d+9
<h3>How to determine the equivalent expression</h3>
The expression is given as:
14.5d+8.5-1/2d+1/2+2.5d
Express the fractions as decimals
14.5d+8.5-0.5d+0.5+2.5d
Collect like terms
14.5d-0.5d+2.5d+8.5+0.5
Evaluate the like terms
16.5d+9
Hence, the equivalent expression is 16.5d+9
Read more about equivalent expressions at:
brainly.com/question/2972832
