Answer:
Step-by-step explanation:
Given the function :
y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]
We substitute x values in the interval (-2 to 4) into the equation and solve for y
At x = - 2
y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0
At x = - 1
y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7
At x = 0
y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2
At x = 1
y = (1)³ - 3(1)² - 9(1) + 2 = - 9
At x = 2
y = (2)³ - 3(2)² - 9(2) + 2 = - 20
At x = 3
y = (3)³ - 3(3)² - 9(3) + 2 = - 25
At x = 4
y = (4)³ - 3(4)² - 9(4) + 2 = - 18
Function is greatest at
Answer:
The nurse should use 200cc of the 10% saline solution in order to produce a 20% saline solution.
Step-by-step explanation:
to the given mix we add a quantity of a lower mix to generate another.
50cc at 60% + Xcc at 10% = (50 + X)cc at 20%
50 x 60% + X x 10% = (50 + X) x 20%
30 + 0.1X = 10 + 0.2X
30 - 10 = 0.2X - 0.1X
20 = 0.1X
20/0.1 = X
X = 200
Answer:
-4
Step-by-step explanation:
Indeed, the y-value changes by 4 when the x-value changes by 1. However, the y-values <em>decrease</em> when the x-values increase. That means the slope is <em>negative</em> 4.
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Any line that goes down to the right has a negative slope. Its slope is positive if it goes up to the right.
40° since it’s the exact same angle
Put 3 where x is, then do the arithmetic.
... 3 - 7·3 + 2·3
... = 3 - 21 + 6
... = -18 + 6
... = -12
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If you like, you can simplify first.
... = 3 + x(-7 +2)
... = 3 -5x
For x=3, this is
... = 3 -5·3
... = 3 -15
... = -12