Answer in pic
Step-by-step explanation:
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.
The length of the support cable is about 29 feet.
If you sketch out the question, you will see that it will form a right triangle with the cable as the hypotenuse.
Just set up and use the Pythagorean Theorem.
15^2 + 25^2 = c^2
850 = c^2
29.15 = c
Answer:
f(3) = 26
Step-by-step explanation:
Average rate of change of a function on an interval is;
f(a) - f(b)/(a-b)
Here, we want to find the value of f(-3)
To find the average rate of change on the given interval;
we have;
f(3) - f(-2)/3-(-2) = 17/5
f(3)-9/5 = 17/5
Since denominator is same, we equate numerator;
f(3)-9 = 17
f(3) = 17 + 9
f(3) = 26
The relationship is linear.
The reason why is because each time x increases by 1, the value of y increases by 3. In other words, the slope is 3 and it is constant no matter what two points you pick
x = input
y = output
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Extra Info:
slope = rise/run
slope = (change in y)/(change in x)
slope = 3/1
slope = 3
The y intercept is (0,6). Think backwards in terms of the pattern going on.
Or you can plug m = 3 and (x,y) = (1,9) into y = mx+b and solve for b to get b = 6
