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3 years ago

Solve the following inequality. 6.37 <-45.36 Which graph shows the correct solution?

Mathematics

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

third number line

Step-by-step explanation:

6.3r < -45.36

r < -7.2

it can't be the first two because those values are 71, 70 etc and we need 7.1, 7.2 etc

and r is less then -7.2

So it has to be the third one

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Step-by-step explanation:

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4 years ago

Find the equation of the line tangent to y = -3x2 + x - 5 at x = -1

SVEN [57.7K]

$\boxed{y+9=7(x+1)}$

<h2>Explanation:</h2>

The Point-Slope form of the equation of a line is given by:

$y-y_{0}=m(x-x_{0}) \\ \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{0},y_{0}):A \ point$

To find the equation of the line tangent to $y=-3x^2+x-5 \ at \ x=-1$ , we need to take the derivative:

$\frac{dy}{dx}=-6x+ 1$

The slope of the line tangent to $y=-3x^2+x-5$ at $x=-1$ can be found evaluationg $x=1$ in the derivative:

$\frac{dy}{dx}\Bigr\rvert_{x=-1}=-6x+ 1 \\ \\ \\ \frac{dy}{dx}\Bigr\rvert_{x=-1}=-6(-1)+ 1 \\ \\ \\ m=\frac{dy}{dx}\Bigr\rvert_{x=-1}=7$

Finding the point:

$x_{0}=-1 \\ \\ Then: \\ \\ y_{0}=-3(-1)^2-1-5=-9 \\ \\ (x_{0},y_{0})=(-1,-9)$

Finally, our line is:

$y-(-9)=7(x-(-1)) \\ \\ \boxed{y+9=7(x+1)}$

The representation of this problem is shown below.

<h2>Learn more:</h2>

Derivative of functions: brainly.com/question/2142425

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3 years ago

Find the value of x and y (please explain)

katovenus [111]

Answer:

x=55,y=20

Step-by-step explanation:

180-75=105

2x-5=105

2x=110

x=55

4x+25=105

4y=80

y=20

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3 years ago