Answer:
(-2.4, 37.014)
Step-by-step explanation:
We are not told how to approach this problem.
One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually. A good graph done on a graphing calculator would be sufficient info for this estimation. My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.
Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3]. In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.
Optional: Another approach would be to use calculus: we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x. There would be four x-values, which we'd call "critical values."
Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
Answer:
20
Step-by-step explanation:
h(-7) just means that inside the x value, you replace the x with a -7.
h(-7) = |3x| - 1
h(-7) = | 3(-7)| - 1
h(-7) = | -21 | - 1
NOTE: -21 is inside |x|, those straight lines mean absolute value. No matter what, any negative number would turn into a positive one. And if it’s posititve, then it stays positive.
h(-7) = 21 - 1
h(-7) = 20
Answer:
- B. The constant in the expression is 1/2
Step-by-step explanation:
<u>Given formula for the area of a triangle</u>
<u>Statements to confirm</u>
A. The coefficient of is b.
- False. b is variable, 1/2 is coefficient
B. The constant in the expression is 1/2
C. There is one term in the expression.
- False. There are 3 terms, one constant and two variables
D. There is one variable in the expression.
- False. There are two variables, b and h
<em>Note. </em>
<em>Assumed 1/2 is given in Option B, otherwise all statements are false</em>.
Green or purple = 10
prob(green or purple) = 10/30 = 1/3
