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n200080 [17]
3 years ago
9

The bottle rocket reached a maximum height of 56.25 feet.

Mathematics
1 answer:
lidiya [134]3 years ago
3 0
The last one HOPE THIS HELPS!!!!
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If y varies directly as x^2 and y=12 when x=2, find y when x=5
Shkiper50 [21]
y=ax^2\\\\y=12\ \ \ and\ \ \ x=2\ \ \ \Rightarrow\ \ \ 12=a\cdot 2^2\ \ \ \Rightarrow\ \ \ a= \frac{4}{12}= \frac{1}{3}  \\\\y=\frac{1}{3} x^2\\\\x=5\ \ \ \Rightarrow\ \ \ y=\frac{1}{3} \cdot5^2=\frac{25}{3} =8\frac{1}{3}
7 0
3 years ago
(100+ POINTS)
horsena [70]

Answer:

1) 102.7 meters

2) 11

Step-by-step explanation:

1) -4.9x² + 75x = -4.9x² + 50x + 38

25x = 38

x = 1.52 s

Height = -4.9(1.52)² + 75(1.52) = 102.67904 m = 102.7 m

2) f(x) = x² + 3x - 2

f(2) = 2² + 3(2) - 2 = 8

f(6) = 6² + 3(6) - 2 = 52

Average rate of change:

(52-8)/(6-2) = 11

5 0
3 years ago
Read 2 more answers
Solve this system of equations by graphing . first graph the equations then type the solution .
Lena [83]

9514 1404 393

Answer:

  (x, y) = (5, -4)

Step-by-step explanation:

The Desmos graphing calculator is a handy tool for solving questions like this one. It tells you the solution is ...

  (x, y) = (5, -4)

5 0
3 years ago
-7 x (4+8) = ?? Please a aswer?
Colt1911 [192]
The answer would be -84.

Here are the steps I did.

1. Simplify 4 + 8 to 12 ( -7 * 12 )

2. Now lastly simplify and u get -84.
5 0
3 years ago
Read 2 more answers
I have to explained it in words pls help
lys-0071 [83]

9514 1404 393

Answer:

  • slope: cost per mile
  • y-intercept: fixed base cost

Step-by-step explanation:

The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.

When the number of miles driven is zero, the rental cost is ...

  y = 2.25×0 +70

  y = 70

The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.

__

If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)

6 0
2 years ago
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