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RideAnS [48]
2 years ago
14

What is the local minimum value of the function g(x)=x^4-5x^2+4? (Round answer to the nearest hundredth)

Mathematics
2 answers:
Svetllana [295]2 years ago
7 0
The answer is
g'(x)=<span>4x^3-10x=0 so </span><span>(4x-10)x=0 it is  x= 0 and  x= 5/2
</span>
<span>g(0)=4
</span>
<span>g(5/2)=x^4-5x^2+4=11.81</span>
the minimum is  M(0, 4)

SSSSS [86.1K]2 years ago
6 0
G ( x ) = x ^4 - 5 x² + 4 
g `( x ) = 4 x³ - 10 x
4 x³ - 10 x = 2 x ( 2 x² - 5 ) = 0 ( the local minimum is where the derivative is equal to zero )
x = 0,  
2 x² - 5 = 0
x² = 5/2
x = +/- √(5/2) = +/- 1.58
g ( 0 ) = 4 ( not the local minimum )
g ( √5/2 ) = g ( -√5/2 ) = ( √5/2 )^4 - 5 (√5/2 )² + 4 =
= 2.5 ² - 5 · 2.5 + 4 = 6.25 - 12.5 + 4 = - 2.25
Answer:
The local minimum is :  M ( - 1.58 ,  - 2.25 ) and N ( 1.58,  - 2.25 ). 
 
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Whats the lcm for 4 and 36?<br><br>Please show work using Stack it method and Cake method!<br>​
Darina [25.2K]

36. U get 36 because 36 divided by 4 equals 9 and 36 and 4 can’t go any further than that.

6 0
3 years ago
The question is in the picture. Plz helppp it is due tonight
Mkey [24]

Answer:

Step-by-step explanation:

We're given one equation, we have to find the other equation and solve each for 200, and whichever has the lower x is the winner

for Jayden we are given

(0, 48), (1, 56), (2, 64), (3, 72), (4, 80)

This looks to be a line. The y values are each separated by a common difference

We can use two points to describe the line

m = \frac{y_2-y_1}{x_2-x_1} = \frac{80-48}{4-0} = \frac{32}{4} = 8\\  K = 8m + b\\48 = 8(0) + b\\b = 48\\so\\K = 8m + 48

Now we can set both K = 8m + 48 and K = m^2 + 10 equal to 200

200 = 8m + 48\\152 = 8m \\m = \frac{152}{8} = 19

200 = m^2 + 10\\m^2 = 190\\m = \sqrt{190} = 13.784

Keiko's blog will reach 200 subscribers fastest.

7 0
3 years ago
(x-7) and (x+6) what are the zeros of function g?
Stells [14]
Your answer is 7 and -6
3 0
2 years ago
Solve 7x+3y=8 and 4x-y=-9 simultaneously
Jobisdone [24]

Answer: x = -1 and y = 5

Step-by-step explanation:

7x + 3y = 8 ........................... equation 1

4x - y = - 9 ............................ equation 2

Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have

y = 4x + 9 ............................. equation 3

substitute y = 4x + 9 into equation 1 , we have;

7x + 3 ( 4x + 9 ) = 8

7x + 12x + 27 = 8

19x + 27 = 8

subtract 27 from both sides

19x = -19

divide through by 19

x = -1

substitute x = -1 into equation 3 , we have

y = 4 ( -1) + 9

y = -4 + 9

y = 5

Therefore :

x = -1 and y = 5

5 0
3 years ago
Which fraction (in simplest form) is equivalent to 0.03?<br> A.3/100<br> B.3/10<br> C.1/3<br> D.1/30
bija089 [108]
It is (A). When removing decimal of 0.03 you will get = 3/100 so A is the correct answer.
3 0
3 years ago
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