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2 years ago

Determine whether the ordered pair (-5, 3) is a solution of the inquality y < 5x + 6.

Mathematics

2 answers:

AnnZ [28]2 years ago

8 0

Answer:

It is not.

Step-by-step explanation:

If you plug in $(-5,3)$ for x and y, you'll get

$3 < 5(-5)+6\\3 < -25+6\\3 < -19$

That is incorrect. So it is not a solution

Vera_Pavlovna [14]2 years ago

3 0

No, it is not a solution.

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4 1/3 Batches of Cookies are made or 4 batches.

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3 years ago

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

3 years ago

Convert 3,250 mL to L. 3.25 L 0.325 L 3,250,000 L 325,000 L

Sergio [31]

Answer:

3.25 L

Step-by-step explanation:

1L=1000mL

3250ml x1L/1000mL = 3.25L

6 0

3 years ago

What is the correct answer please need help

Oduvanchick [21]

Answer:

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Step-by-step explanation:

Solve by splitting the figures into 2 parts and finding their areas separately:

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Triangle:

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Total: 40 + 12 = 52

6 0

4 years ago

Read 2 more answers

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creativ13 [48]

Answer:

I'm not to sure but I think it's A, 38.4 mph. By the way are you from Bay doing this for spring break math hw?

Step-by-step explanation:

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3 years ago