Answer:
x = -1/2 , 4
Step-by-step explanation:
1) If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
2x+1=0
x−4=0
2) Set the first factor equal to 0.
2x+1=0
3) Subtract 1 from both sides of the equation.
2x=−1
4) Divide each term by 2 and simplify.
2x/2= −1/2
5) Cancel the common factor of 2.
x= −1/2
6) Move the negative in front of the fraction.
x = −1/2
7) Set the next factor equal to 0 and solve.
x=4
8) The final solution is all the values that make
(2x+1)(x−4) = 0 true.
9) x = −1/2 , 4
Answer:
A. Mean = 9.7 (take all the numbers and divide by 10)
Mode = 12
Range = 5
B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined
Here is the solution of the given problem above.
Firstly, to make the solution easier, let us convert the mixed fractions.
2 3/4 is 11/4 (Pounds of beef needed)
1 1/6 is 7/6 (Pounds of beef available)
So, to get how much more he needs, we will deduct 7/6 from 11/4 and we get 19/12. And this fraction is equivalent to option A. 1 7/12. Therefore, he needs 1 7/12 pounds more. hope this answer helps.
The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000
Let
Then
Note that since
, 
But since
, 
and
, 
Since
where 
and
What we are looking for is the number of permutations of the 26 letters of the alphabet that do not contain the strings fish, rat or bird, or
This link contains another solved problem on permutations:
brainly.com/question/7951365
Since you're given the base for the perimeter of the rectangle, you can solve this question quickly.
First, you multiply 21 by 2, because there are two bases to a rectangle.
You'll get 42, and you will have to do 60-42 to find the perimeter for the remaining two sides.
60-42 will give you 18, so you can divide that by 2 because there are two other sides, giving you 9.
Now you have the side lengths 21 and 9. Area is base*height, so you can multiply 21*9 and get 189.
Therefore, the area of the rectangle is 189 meters
