Answer:
x=1, x=-6
Step-by-step explanation:
x^2+5x-6=0 can be reduced to (x+6)(x-1)=0
we now have x+6=0 and x-1=0
solve by subtracting 6 from each side in the first equation and adding 1 to each side in the second.
x=1, x=-6
Answer:
Length ≥ 40
Width ≥ 5
Perimeter = 2 × (Length + Width)
2 × (Length + Width) ≤ 150
Step-by-step explanation:
To create a graph showing the possible dimensions of the garden, we need to plot the length and width of the rectangular area on the x and y axes, respectively. Since we want the length to be at least 40 feet and the width to be at least 5 feet, we can represent these constraints by the following inequalities:
Length ≥ 40
Width ≥ 5
We also know that the total length of fencing available is 150 feet, which means that the perimeter of the rectangular area must be less than or equal to 150 feet. The perimeter of a rectangle is given by:
Perimeter = 2 × (Length + Width)
So, we can write the inequality representing the perimeter as:
2 × (Length + Width) ≤ 150
To graph the possible dimensions of the garden, we can plot the points that satisfy all three inequalities on the x-y plane.
Regarding the vegetables, it is not clear what vegetables the user would like to plant in the garden. As such, we cannot provide a specific answer to this question.
In summary, we need to write three inequalities to represent the constraints in the problem, and we can graph the solution space using these inequalities.
Answer:
205.65 interest
Step-by-step explanation:
Answer:
Option D on Edg.
Step-by-step explanation: I took the test and the correct option is $5695.05.
The remainder of 525 divided by 28 is 21
First step
Division
525 ÷ 28
= 18
Second step multiply 28 by 18
28 × 18
= 504
Now let determine remainder of 525 divided by 28
Remainder=525 - 504
Remainder= 21
Inconclusion remainder of 525 divided by 28 is 21
Learn more here:
Answer:
R = 21
Step-by-step explanation:
525 ÷ 28 = 18 R 21
28 × 18 = 504
525 - 504 = 21
Therefore, the remainder is 21.
Hope this helps! :)
Answer:
If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:
$8.
Step-by-step explanation:
a) Data and Calculations:
The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)
The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)
The probability for the result to be 6 = 16.67% (100/6 * 1)
Data Table:
Event Probability Value Won
The result is 1 or 2 33.33% $0
The result is 3, 4 or 5 50.00% $4.00
The result is 6 16.67% $36.00
Expected Value:
Event Probability Value Expected Value
The result is 1 or 2 33.33% $0 $0 ($0 * 33.33%)
The result is 3, 4 or 5 50.00% $4.00 $2.00 ($4 * 50%)
The result is 6 16.67% $36.00 $6.00 ($36 * 16.67%)
Total expected amount of money = $8.00
The expected win from playing the game once is $8. This is calculated by finding the expected value of the winnings, which is the sum of the possible outcomes each multiplied by their probabilities.
This question is asking about the expected amount of money one can win in a game involving a six-sided die. The concept of 'expectation' in probability and statistics refers to the average result of an experiment if it were repeated many times.
In our game, the possible outcomes when you roll the die are $0 (when we roll 1 or 2), $4 (when we roll 3, 4 or 5), and $36 (when we roll a 6). Now, to calculate the expected value, or the expected amount of money one would win in this game, we multiply each possible outcome by their probability and sum them up.
We have a 1/3 chance of winning $0, a 1/2 chance of winning $4, and a 1/6 chance of winning $36. Therefore, the expected value of winnings would be:
(1/3 * $0) + (1/2 * $4) + (1/6 * $36) = $0 + $2 + $6 = $8
Therefore, if you play this game once, the expected amount of money you will win is $8.
#SPJ11
Answer:
A=0.25
B=0.35
C=1.05
Step-by-step explanation:
1. A+B=0.6
2. A+C=1.3
3. C=3B
2 subtract 1:
3 substituted:
Answer:
x=3
Step-by-step explanation: