The maximum height is 9.0 feet and the time to hit the ground is 4.5 seconds
<h3>How to determine the maximum height?</h3>
The function is given as:
f(x) = -0.6x^2 + 2.7x + 6
Differentiate
f'(x) = -1.2x + 2.7
Set to 0
-1.2x + 2.7 = 0
Subtract 2.7 from both sides
-1.2x = -2.7
Divide both sides by -1.2
x = 2.25
Substitute x = 2.25 in f(x) = -0.6x^2 + 2.7x + 6
f(2.25) = -0.6(2.25)^2 + 2.7(2.25) + 6
Evaluate
f(2.25) = 9.0
Hence, the maximum height is 9.0 feet
<h3>How to determine the time to hit the ground?</h3>
The time to hit the ground is twice the time to reach the maximum height.
In (a), we have:
x = 2.25
So, we have:
Time = 2 * 2.25
Evaluate
Time = 4.5
Hence, the time to hit the ground is 4.5 seconds
Read more about quadratic functions at:
brainly.com/question/1214333
#SPJ1
Answer: x ≠ 5; x≠ 0
![\frac{4}{x-5}+\frac{1}{x}=\frac{x-1}{x-5}\\\\ \frac{4x+x-5}{x(x-5)}=\frac{x(x-1)}{x(x-5)} \\ 4x+x-5=x(x-1)\\ 5x-5 = x^{2}-x\\ x^{2} -6x+5=0\\(x-5)(x-1)=0\\](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7Bx-5%7D%2B%5Cfrac%7B1%7D%7Bx%7D%3D%5Cfrac%7Bx-1%7D%7Bx-5%7D%5C%5C%5C%5C%3C%3D%3E%20%5Cfrac%7B4x%2Bx-5%7D%7Bx%28x-5%29%7D%3D%5Cfrac%7Bx%28x-1%29%7D%7Bx%28x-5%29%7D%20%20%20%20%20%5C%5C%3C%3D%3E%204x%2Bx-5%3Dx%28x-1%29%5C%5C%3C%3D%3E%205x-5%20%3D%20x%5E%7B2%7D-x%5C%5C%3C%3D%3E%20x%5E%7B2%7D%20-6x%2B5%3D0%5C%5C%3C%3D%3E%28x-5%29%28x-1%29%3D0%5C%5C)
because x≠ 5 => x - 5 ≠ 0
=> x - 1 = 0
⇔ x = 1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
(2x^2 + 3x - 4) (x + 4)
FOIL.
2x^2 times x = 2x^3
3x times x is 3x^2
-4 times x = -4x
2x^2 times 4 = 8x^2
3x times 4 = 12 x
-4 times 4 = -16
Combine like terms to get 2x^3 + 11x^2 + 8x - 16.
Answer: 0.000527
Step-by-step explanation:
Given:
in standard form.
The standard form are also known as scientific notation.
Scientific notation is a way to write a very large or a very small number in the product of a decimal form of number [generally between 1 and 10] and powers of ten.
Since the power of 10 is negative, then it must be smaller than 1.
We can write the given number in decimal form as
![5.27\times\frac{1}{10^4}=\frac{5.27}{10000}=0.000527](https://tex.z-dn.net/?f=5.27%5Ctimes%5Cfrac%7B1%7D%7B10%5E4%7D%3D%5Cfrac%7B5.27%7D%7B10000%7D%3D0.000527)