remember that local minimuns are points in which the function was decreasing and starts increasing.
you can try two ways of doing it, graphing the functions or using derivatives.
since this are twelve functios the easier way is to graph them.
start by function y=x
in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.
now do the same for
this graph has a local minima on th
9514 1404 393
Answer:
0
Step-by-step explanation:
The slope of a horizontal line is zero (0). For any finite "run", the "rise" is zero.
slope = rise/run = 0/run = 0
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
Answer:
| x - 0 | ≤ 2
Step-by-step explanation:
Given,
The ideal temperature of the freezer = 0° F,
Also, it can fluctuate by 2° F,
Thus, if x represents the temperature of the freezer,
Then, there can be two cases,
Case 1 : x > 0,
⇒ x - 0 ≤ 2
Case 2 : If x < 0,
⇒ 0 - x ≤ 2,
⇒ -( x - 0 ) ≤ 2,
By combining the inequalities,
We get,
| x - 0 | ≤ 2,
Which is the required inequality.
Answer:
3x³ - 12x + 4
Step-by-step explanation:
The opposite of a polynomial P is -P.
You find the opposite of P by multiplying it by -1.
P = -3x³ + 12x - 4
-P = (-1)( -3x³ + 12x - 4) Distribute -1 to each term
= (-1)(-3x³) + (-1)(12x) - (-1)(4) Multiply each coefficient by -1
= 3x³ + (-12)x - (-4)
= 3x³ - 12x + 4
