The equation of the ravine function is an illustration of a quadratic function
It will take 1.5 seconds for the music player to fall to the bottom of the ravine
<h3>How to determine the time the music player will fall to the bottom?</h3>
The equation of the function is given as:
![t = \sqrt{\frac{8t + 24}{16}}](https://tex.z-dn.net/?f=t%20%3D%20%5Csqrt%7B%5Cfrac%7B8t%20%2B%2024%7D%7B16%7D%7D)
Take the square of both sides
t^2 = (8t + 24)/16
Multiply both sides by 16
16t^2 = 8t + 24
Divide through by 8
2t^2 = t + 3
Set the equation to 0
2t^2 - t - 3 = 0
Expand the equation
2t^2 + 2t- 3t - 3 = 0
Factorize the equation to 0
2t(t + 1)- 3(t + 1) = 0
Factor out t + 1
2t- 3)(t + 1) = 0
Expand
2t- 3 = 0\ or\ t + 1 = 0
Solve for t
t= 1.5\ or\ t =- 1
Time cannot be negative.
So, we have:
t= 1.5
Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine
Read more about quadratic functions at:
brainly.com/question/1214333
Answer:
Adult ticket is $6
Student ticket is $4, as you said.
Step-by-step explanation:
We'll call adult tickets x and student tix y.
14x + 11y = 128
14x + y = 88
First, solve the second equation for y in terms of x:
y = 88- 14x
Then substitute that for y into the first equation:
14x + 11(88-14x) = 128
14x + 968 - 154x = 128
-140x = -840
x = 6 The adult ticket is $6, like you said.
Now take that and solve for y:
y = 88 - 14(6)
y = 88 - 84
y = 4 The student ticket is $4, as you said.
Hope this helps. Feel free to ask questions so you can understand.
Answer:
You can follow these steps to multiply a fraction by a whole number:
Write the whole number as a fraction with a denominator of 1.
Multiply the numerators.
Multiply the denominators.
Simplify, if needed. If your answer is greater than 1, you may want to write your answer as a mixed number.
Step-by-step explanation:
hope u understand
Answer:
-1.4f - 24
Step-by-step explanation:
First combine like terms
-2.3f + 0.9f - 15 - 9
-1.4f -24
So, simplified it is
-1.4f - 24
Step-by-step explanation:
curved surface area =
perimeter of triangular base × length
= 3×8 + 12
= 24 + 12
= 36mm^2
total surface area
= curved surface area + 2× area of triangular base
= 36 + 2 × root3 ×8^2 ÷ 4
= 36 + 2 × root3 × 16
= 36 + 2× 27.71
= 36 + 55. 425
= 91.425 mm^2