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Gekata [30.6K]
3 years ago
7

According to the table, which ordered pair is a local minimum of the function, f(x)? (0, 9) (4, 105) (–1, 0) (2, –15)

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0
D. is the correct answer (2,-15)
max2010maxim [7]3 years ago
6 0

Answer:

(2,-15 ) is local minimum.

Step-by-step explanation:

A function has local minimum at x if  f(x) gives minimum value at that point and  the points around it.

here we can see that values given for y  f(x) are 9,105,0,-15 respectively out of which -15 is minimum which gives local minimum value for the given function.

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Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the e
alisha [4.7K]
The point-slope form of the equation of the line is:

(y - y1) = m (x - x1)

So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:

 [y - (-2) ] = (-1/3) [ x - 4 ]

You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.

That slope, -1 / 3, means that the function is decresing (because the slope is negative),  and it decreases one unit when x increases 3 units.

Now you can fill in the blanks in this way:

Plot the point  (4, -2), move 1 unit down, and 3 units over to find the next point on the line.
7 0
3 years ago
Which symbol correctly compares the two angle measures? pi/4 radians_____30°
Thepotemich [5.8K]

Answer:

B. \frac{\pi }{4} Rad>30^{0}

Step-by-step explanation:

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Hope this helps

6 0
2 years ago
(h+k)(2)=?<br> (h-k)(3)=?<br> 3h(2)+2k(3)=?
marusya05 [52]

Answer:

see explanation

Step-by-step explanation:

(h + k)(x) = h(x) + k(x), thus

h(x) + k(x)

= x² + 1 + x - 2 = x² + x - 1 , then

(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5

----------------------------------------------------

(h - k)(x) = h(x) - k(x), thus

h(x) - k(x)

= x² + 1 - (x - 2) = x² + 1 - x + 2 = x² - x + 3, then

(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9

-----------------------------------------------------

h(2) = 2² + 1 = 4 + 1 = 5

k(3) = 3 - 2 = 1

Thus

3h(2) + 2k(3)

= 3(5) + 2(1) = 15 + 2 = 17

8 0
2 years ago
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