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2 years ago

Which graph represents the solution to this inequality

Mathematics

2 answers:

12345 [234]2 years ago

5 0

Answer:

Step-by-step explanation:

$-\frac{1}{4}(12x+8)\leq -2x+11\\\\-\frac{1}{4}*12x+\frac{-1}{4}*8)\leq -2x+11\\\\-3x-2\leq -2x+11$

Add 3x to both sides

-2 ≤ -2x + 11 + 3x

-2 ≤ x + 11

Subtract 11 from both sides

-2-11 ≤ x + 11 -11

-13 ≤ x

X should be greater than or equal to -13

x ={-13, -12 , -11 , -10,..........}

Dimas [21]2 years ago

4 0

Answer:

Your answer is c

Step-by-step explanation:

First add two to both sides of equation:

-3x -2 + 2 ≤ - 2x + 11 + 2

Then simplify,

-3x ≤ -2x + 13

Then add 2x to both sides :

-3x + 2x ≤ - 2x + 13 + 2x

Simplify again,

-x ≤ 13

Reverse the inquality:

X ≥ - 13

Then graph it which I can't do right now but your answer will turn out to be c.

Hope this help, and have a good day! :)

(Brainliest would be appreciated)?

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The vertex of the parabola is at the point (2,-5). which of the equations below could be the one for this parabola?

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Makovka662 [10]

Let $u=x^2-4$ and $v=4x-5$ . By the product rule,

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=\dfrac{\mathrm d(u^5)}{\mathrm dx}v^4+u^5\dfrac{\mathrm d(v^4)}{\mathrm dx}$

By the power rule, we have $(u^5)'=5u^4$ and $(v^4)'=4v^3$ , but $u,v$ are functions of $x$ , so we also need to apply the chain rule:

$\dfrac{\mathrm d(u^5)}{\mathrm dx}=5u^4\dfrac{\mathrm du}{\mathrm dx}$

$\dfrac{\mathrm d(v^4)}{\mathrm dx}=4v^3\dfrac{\mathrm dv}{\mathrm dx}$

and we have

$\dfrac{\mathrm du}{\mathrm dx}=2x$

$\dfrac{\mathrm dv}{\mathrm dx}=4$

So we end up with

$\dfrac{\mathrm d(u^5v^4)}{\mathrm dx}=10xu^4v^4+16u^5v^3$

Replace $u,v$ to get everything in terms of $x$ :

$\dfrac{\mathrm d((x^2-4)^5(4x-5)^4)}{\mathrm dx}=10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3$

We can simplify this by factoring:

$10x(x^2-4)^4(4x-5)^4+16(x^2-4)^5(4x-5)^3=2(x^2-4)^4(4x-5)^3\bigg(5x(4x-5)+8(x^2-4)\bigg)$

$=2(x^2-4)^4(4x-5)^3(28x^2-57)$

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2 years ago

Which graph represents the solution to this inequality ​

Which graph represents the solution to this inequality