The lowest possible product would be -5625 given the numbers 75 and -75.
We can find this by setting the first number as x + 150, which we see in the equation given above. The other number would have to be simply x since it has to have a 150 difference.
Next we'll multiply the numbers together.
x(x+150)
x^2 + 150x
Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2
-b/2a = -150/2(1) = -150/2 = -75
So we know one of the values is -75. We can plug that into the equation to find the second.
x + 150
-75 + 150
75
Answer:

Step-by-step explanation:

Add 11 to both sides of the inequality to make - 4x stand alone

Divide both sides by - 4

Reverse the signs
We have the final answer as

Hope this helps you
Answer:
20 L of 22% solution and 8 L of 36% solution
Step-by-step explanation:
Volume of 22% solution + volume of 36% solution = volume of 26% solution
x + y = 28
Acid in 22% solution + acid in 36% solution = acid in 26% solution
0.22x + 0.36y = 0.26(28)
0.22x + 0.36y = 7.28
Solve the system of equations using either elimination or substitution. I'll use substitution:
x = 28 − y
0.22(28 − y) + 0.36y = 7.28
6.16 − 0.22y + 0.36y = 7.28
0.14y = 1.12
y = 8
x = 28 − y
x = 20
The chemist should use 20 L of 22% solution and 8 L of 36% solution.
Mean: 160.12Standard Deviation: 19.76Median: 162Maximum: 202 Minimum: 120
The mean is calculated by adding all of the numbers in the data set and dividing by the number of values that were added:
173 + 123 + 171 + 175 + 188 + 120 + 177 + 160 + 151 + 169 + 162 + 128 + 145 + 140 + 158 + 132 + 202 + 162 + 154 + 180 + 164 + 166 + 157 + 171 + 175 ÷ 25 = 160.12
Standard deviation is found by calculating the mean (160.12) , and then subtracting the mean and square root result for each number. Finally, working out the mean of the squared differences and taking the square root of the final answer results in a standard deviation of 19.76. (The attached image has the formula for finding standard deviation).
Median is the number that is found in the middle when placing the numbers in order from least to greatest.
The maximum is the largest number in the data set.
The minimum is the smallest number in the data set.