How many solutions can be found for the system of linear equations represented on the graph?

Which of the following terms is not a monomial a)6x b)1/3x^2 c)13 d) 3x^-3

Lapatulllka [165]

Answer:

The answer is D.

Step-by-step explanation: A monomial is an algebraic expression that consists of one term. D consists of 2 terms and is considered a binomial.

5 0

3 years ago

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Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

$x^{2} = \frac{1}{2}$

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

2 years ago

Does this graph below represent a function? (Yes or no)

Whitepunk [10]

Answer:yes

Step-by-step explanation: it represents a function

4 0

2 years ago

5x-4y+-13 and 3x-4y+-11

drek231 [11]

5x + -4y = 13

Solving
-5x + -4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.
-5x + -4y + 4y = 13 + 4y

Combine like terms: -4y + 4y = 0
-5x + 0 = 13 + 4y
-5x = 13 + 4y

Divide each side by '-5'.
x = -2.6 + -0.8y

Simplifying
x = -2.6 + -0.8y
Simplifying
3x + -4y + -11 = 0

Reorder the terms:
-11 + 3x + -4y = 0

Solving
-11 + 3x + -4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 3x + 11 + -4y = 0 + 11

Reorder the terms:
-11 + 11 + 3x + -4y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3x + -4y = 0 + 11
3x + -4y = 0 + 11Combine like terms: 0 + 11 = 11
3x + -4y = 11

Add '4y' to each side of the equation.
3x + -4y + 4y = 11 + 4y

Combine like terms: -4y + 4y = 0
3x + 0 = 11 + 4y
3x = 11 + 4y

Divide each side by '3'.
x = 3.666666667 + 1.333333333y

Simplifying
x = 3.666666667 + 1.333333333y

3 0

3 years ago

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Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.

Bas_tet [7]

Answer:

Step-by-step explanation:

Step 3

7 0

2 years ago

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