Answer:
C. 6 ways
Step-by-step explanation:
When two fair dice are rolled, the sample space of the outcome is given below:
![(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)\\(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)\\(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)\\(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)\\(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)\\(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)](https://tex.z-dn.net/?f=%281%2C1%29%09%281%2C2%29%09%281%2C3%29%09%281%2C4%29%09%281%2C5%29%09%281%2C6%29%5C%5C%282%2C1%29%09%282%2C2%29%09%282%2C3%29%09%282%2C4%29%09%282%2C5%29%09%282%2C6%29%5C%5C%283%2C1%29%09%283%2C2%29%09%283%2C3%29%09%283%2C4%29%09%283%2C5%29%09%283%2C6%29%5C%5C%284%2C1%29%09%284%2C2%29%09%284%2C3%29%09%284%2C4%29%09%284%2C5%29%09%284%2C6%29%5C%5C%285%2C1%29%09%285%2C2%29%09%285%2C3%29%09%285%2C4%29%09%285%2C5%29%09%285%2C6%29%5C%5C%286%2C1%29%09%286%2C2%29%09%286%2C3%29%09%286%2C4%29%09%286%2C5%29%09%286%2C6%29)
Where in the pair (x,y), x represents the red die and y represents the white die.
The outcome in which the sum of the two dice is less than 5 are:
![(1,1) (1,2) (1,3) \\(2,1) (2,2) \\(3,1)](https://tex.z-dn.net/?f=%281%2C1%29%09%281%2C2%29%09%281%2C3%29%09%5C%5C%282%2C1%29%09%282%2C2%29%09%5C%5C%283%2C1%29)
Therefore, this result can be obtained in 6 ways.
<u>The correct option is C.</u>
Answer:
-8x^2+17
Step-by-step explanation:
Evaluate the exponent.
1^3-8x^2+16
1-8x^2+16
Add the numbers.
17-8x^2.
Rearrange terms (final answer).
-8x^2+17.
You can create two equations.
"<span>A car travels 20 mph slower in a bad rain storm than in sunny weather."
</span>
![\sf x-20=y](https://tex.z-dn.net/?f=%5Csf%20x-20%3Dy)
Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
"<span>The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."
![\sf 2x=3y](https://tex.z-dn.net/?f=%5Csf%202x%3D3y)
</span>Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.
We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.
![\sf \boxed{\sf x-20}=y](https://tex.z-dn.net/?f=%5Csf%20%5Cboxed%7B%5Csf%20x-20%7D%3Dy)
![\sf 2x=3y\rightarrow2x=3(x-20)](https://tex.z-dn.net/?f=%5Csf%202x%3D3y%5Crightarrow2x%3D3%28x-20%29)
Distribute:
![\sf 2x=3x-60](https://tex.z-dn.net/?f=%5Csf%202x%3D3x-60)
Subtract 3x to both sides:
![\sf -x=-60](https://tex.z-dn.net/?f=%5Csf%20-x%3D-60)
Divide -1 to both sides:
![\sf x=60](https://tex.z-dn.net/?f=%5Csf%20x%3D60)
So the car goes 60 mph in sunny weather.
That system has D. no solutions
An irrational number is one that cannot be shown as ratio of two integers, an 3.14=314/100 so that means pi is irrational. Another thing to note is that pi is transcendental which means it is not the root of any algebraic equation.