Answer:
The other 2/3 would be 20
Step-by-step explanation:
Each 1/3 is 10 so 10*2 is 20
Answer:
1. Histogram 2. Side-by-side bar chart
Step-by-step explanation:
Histogram displays the frequency distribution, relative frequency distribution, or percentage frequency distribution for quantitative data.
Side-by-side bar chart displays the frequency distribution, relative frequency distribution, or percentage frequency distribution for qualitative (categorical) data.
Answer:
Step-by-step explanation:
Required
Whose solution is
Add 1 to both parts
Divide through by 5
Substitute 2 for x
--- this is true
Add 3 to both parts
Divide by 5
Substitute 2 for x
--- this is true
Add 7 to both parts
Divide by 5
Substitute 2 for x
--- this is false because 2.4 > 2
Subtract 1 from all parts
Divide by 2
Substitute 2 for x
--- this is true
Subtract 3 from all parts
Divide by 2
Substitute 2 for x
----- this is true
Subtract 6 from all parts
Divide by 2
Substitute 2 for x
--- this is false because 2 = 2; not 2 < 2
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:
x=20
Step-by-step explanation:
It all equals 360º and there are two of each angle. So, we can add 5x+5x+(3x+20)+(3x+20)=360º. Subtracted 40 and simplify. So 16x=320.So divide by 16 and you get that x=20.