I am making an acrostic poem and I am using the word "slope". Anyone have any ideas?

Mathematics

1 answer:

Yuri [45]3 years ago

3 0

Does the poem have to be about anything specific??

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Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

4 years ago

Read 2 more answers

What is the equation of the graphed function?

masya89 [10]

The correct answer is A.) f(x)= $\frac{-1}{3}$ x+1

This is because using slope intercept form (y=mx+b), we can solve.

m = slope
b= y-intercept

If you look at the graph, you can see the line crosses they y-axis at 1.

And if you follow the line using rise over run, you find that it is 1/3.
But because it is a negative line, it makes the slope negative.

Hope this helps!

8 0

3 years ago

Please I need help with questions 3-5 and it’s very hard and I’m struggling with it and if you need to see the picture big then

topjm [15]

3.
m/_QOR + m/_ROS = 90 (because the two angels together make a right angle)

Substitute.

x + 5 + 2x + 7 = 90

3x + 12 = 90
-12 -12

subtract 12 from both sides

3x = 78

Divide each side by 3 to get x by itself

x = 26

4. those two angles in the picture are vertical, which means they're congruent.

with that in mind...the ray makes a right angle on one and the other, w, you dont know. so to get the whole angle you need to add both angles to get the whole thing so...

m/_w + 90 = 125

subtract 90 on both sides

m/_w = 35