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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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You should Google it because I forgot but others might know
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3 years ago
Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

4 0
3 years ago
Interest expense would be classified on a multiple-step income statement under the heading a) Other revenues and gains. b) Opera
DiKsa [7]

Answer:

Answer is c

Step-by-step explanation:

Interest expense has no relation with the companies' principal activities. Therefore, on a multiple-step income statement, besides the other expenses like lawsuit settlements, extraordinary losses from investments etc., interest expense is listed in the non-operating and other section.

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3 years ago
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Answer:

Work done = 150 x 5  = 750 J

Step-by-step explanation:

Work done is the measure of energy transferred to an object when a force is added causing the object to move a distance in the direction of the force.

The equation for work done is force time the distance and is measured in Joules. Therefore the formula is W = F x D

work done (W) is measured in joules (J)

force (F) is measured in newtons (N)

distance (d) is in the same direction as the force and is measured in

metres (m)

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7 0
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Answer:

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look at picture

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