<h3>
Answer:</h3>
y = -5x -1
<h3>
Step-by-step explanation:</h3>
Changes in x-values are constant and are +1.
Changes in y-values are constant and are -5.
Because the ratio of changes in y to changes in x is constant (-5/1) = -5, you know the function is linear. To write the equation, you can use the slope-intercept form, since you know the slope (-5) and the table shows the y-intercept: (x, y) = (0, -1).
The rule is ...
... y = -5x -1
Answer:
x = 150
Step-by-step explanation:
(n-2)180 (n = the amount of sides)
(12 - 2)180
(10)180
1800
1800/12 = 150
10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Step-by-step explanation:
Let x be the number of liters of 60% saline solution
Now we require 10 L of 30% saline solution.
Liter soln % liters saline %
30 % 10 0.3
60 % x 0.6
10 % 10-x 0.1
Now forming the algebraic equation,
0.6x + 0.1 (10-x) = 10 (0.3)
0.6x + 1 - 0.1 x = 3
0.5 x = 2
x = 4 ( 4 l of 60 % solution is required. So 10 % saline solution required is 10 - 4 = 6 L).
Hence, 10 L of 30 % saline solution can be formed by mixing 4 L of 60 % saline solution and 6 L of 10 % saline solution.
Answer:
Step-by-step explanation:
f(-3)= -(-3)^2+6= -9 + 6 = -3
a.
b.
The metal obey this law for values of strain until 0.05, where we have a linear relationship (each increase of 0.01 in the strain causes an increase of 100 in the stress). After this point, we don't have a linear relationship anymore.
c. Since an increase of 0.01 in the strain causes an increase of 100 in the stress, the slope is:

Now, calculating the coefficient b (y-intercept), we have:

So the equation is:

d.
The maximum value of stress is 560, and occurs at strain = 0.07.