Answer:
Step-by-step explanation:
← Equation 1
By simplifying the above equation we get,
(Simplifying the brackets)
(By subtracting 
from 
) ← Equation 2
Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.
Equation 1 multiplied by 5 will give,
Equation 2 multiplied by 3 will give,
Add those together,
(After simplifying 
values)
Therefor
By substituting to Equation 1 we get,
Therefor we can say,
Answer:
A
Step-by-step explanation:
So we have the piecewise function:
And we want to find f(8).
Since our input value is 8, choose the equation that fits our input.
The first equation demand x to be less than 3. 8 is not less than 3, so we won't use that.
The second equation demand x to e greater than or equal to 3 and less than 8. 8 is <em>not</em> less than 8. So, we won't use that.
The third equation demands x to be greater than or equal to 8. 8 is greater than or equal to 8, so we'll use the third equation.
So:
There're nothing more to do, we're done :)
The answer is A.
Edit: Improved Format
Answer:
Step-by-step explanation:
![\left[\begin{array}{ccc}7&31\\142&19\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%2631%5C%5C142%2619%5Cend%7Barray%7D%5Cright%5D)
= 7(19) - 142(31) = <em>- 4269</em>
![\left[\begin{array}{ccc}7&11&21\\55&-8&2\\-16&-1&-9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D7%2611%2621%5C%5C55%26-8%262%5C%5C-16%26-1%26-9%5Cend%7Barray%7D%5Cright%5D)
= 7(- 8)(- 9) + 11(2)(- 16) + 21(55)(- 1) - 21(- 8)(- 16) - 7(2)(- 1) - 11(55)(- 9) = <em>1768</em>
![\left[\begin{array}{ccc}9.07&6.02&2.01\\-30.7&2.5&3.5\\3.55&-1.1&2.35\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9.07%266.02%262.01%5C%5C-30.7%262.5%263.5%5C%5C3.55%26-1.1%262.35%5Cend%7Barray%7D%5Cright%5D)
= 9.07(2.5)(2.35) + 6.02(3.5)(3.55) + 2.01(- 30.7)(- 1.1) - 2.01(2.5)(3.55) - 9.07(3.5)(- 1.1) - 6.02(- 30.7)(2.35) = <em>647.3561</em>
Answer:
Size of groups known: First and last questions (The rice and cups ones)
Number of groups known: Second and third questions (Cars and hats)
Step-by-step explanation:
In the first problem, you know that one sack is one group, and it tells you that each sack weighs 3 kg. Therefore, you know the size of the group (or a sack).
In the last one, you know that a table is one group and each table fits 4 cups. So, you know that the size of the group is 4 cups.
In the second and third questions, you know that each group is a row (cars) or "equal group" (hat) and that there are 4 of each. So, you know that there are 4 of each group, meaning you know the "number of groups"
I don't know. I'll have to figure it out.
Probability =
(number of successful possible results) / (total possible results) .
Total possible results for the spinner . . . 8
Successful ones (getting a 1, 2, 3, 4, or 5) . . . 5
Theoretical probability = 5/8 .
So you expect (5/8 of 150) spins to be successful.
(5/8 times 150) = 93.75
Yes !
93 or 94 is a good answer.
