Answer:
Three equivalent ratios of are , and .
Step-by-step explanation:
We are given a fraction .
We need to find the three equivalent ratios/fractions of .
The common factor of 14 and 2 is 2.
So, dividing top and bottom by 2, we get
14÷2 = 7 and 2÷2 that is .
Multiplying fraction by a common number 3 in top and bottom, we get
7 × 3 = 21
1 × 3 = 6
So, we get another equivalent fraction .
Multiplying fraction by a common number 3 in top and bottom, we get
7 × 4 = 28
1 × 4 = 4
So, we get another equivalent fraction .
Therefore, three equivalent ratios of are , and .
Critical points: (Maximum, minimum, and inflection points) have a slope = 0
The derivative gives the slope, take the derivative set it equal to zero
<span>f(x) = x^5 -10x^3 + 9x
derivative:
f'(x) = 5x^4 - 30x^2 + 9
0 = 5x^4 - 30x^2 + 9
use quadratic formula (or polysolver) with a=5, b=-30 and c = 9
4th degree gives 4 solutions
x = +/- √(3 - 6/√(5))
x ~ +/- 2.38
x = +/- √(3 - 6/√(5))
x ~ +/- 0.563
</span>Determine which point is the highest (maximum) and the lowest (minimum) by putting the x-coordinates back into the original equation and comparing y-values.
* You will also need to check the endpoints given as these can sometime be the max/min of the function.
Our x-values:
x = { -3, -2.38, -0.563, 0.563, 2.38, 3}
respective y-values found by inputting x's into function
y = {0, 37.03, -3.34, 3.34, -37.03, 0}
nice symmetry.. check out the graph to see the solutions are correct.
https://www.desmos.com/calculator
Maximum point (-2.38, 37.03)
Minimum point (2.38, -37.03)
Answer:
0.45 /
Step-by-step explanation:
I believe the first question is 4 feet / 1 second and the second answer is 16 oz / 1 lb