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3 years ago

A piece of fabric is randomly selected from a stack of fabric that contains 80 striped, 40 solid, and 60 polka-dotted pieces.

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

No, I just took the test,

The answer would be

C. P(solid)22

worty [1.4K]3 years ago

5 0

Answer: p solid 22

Step-by-step explanation: took the test

migirigi(:

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56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(

PIT_PIT [208]

There are 2 tangent lines that pass through the point

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

and

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

Explanation:

Given:

$y=\frac{x}{x+1}$

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

$y=m(x-1)+2$ $[1]$

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for $m$ :

$\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\$

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

$\frac{dy}{dx}= \frac{1}{(x+1)^2}$

$m=\frac{1}{(x+1)^2}$ $[2]$

Substitute equation [2] into equation [1]:

$y=\frac{x-1}{(x+1)^2}+2$ $[1.1]$

Because the line must touch the curve, we may substitute $y=\frac{x}{x+1}:$

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

Solve for x:

$x(x+1)=(x-1)+2(x+1)^2$

$x^2+x=x-1+2x^2+4x+2$

$x^2+4x+1$

$x\frac{-4±\sqrt{4^2-4(1)(1)} }{2(1)}$

$x=-2$ ± $\sqrt{3}$

$x=-2$ ± $\sqrt{3}$ <em> </em> $and$ $x=-2-\sqrt{3}$

There are 2 tangent lines.

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

and

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

8 0

2 years ago

Really need help please! Brainliest to correct!

vovikov84 [41]

Let's say "m" is the manufactoring cost per drill (in dollars).

Then the manufactorer sells it for $4 more, so this would be:

m+4

Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:

1.4(m+4)

P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).

Simplifying, you could rewrite this as:

P(m) = 1.4m + 5.6

7 0

2 years ago

Maria walked 3 km west and 4 km south calculate how far she is from her starting point.

Rufina [12.5K]

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

3 km west and 4 km south

We are required to determine the displacement from her starting point;

We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

= 25

c = √25

= 5 km

Therefore, the displacement from the starting point is 5 km

8 0

2 years ago

Help asap giving Brainlist!!!

Rzqust [24]

Answer:

1st question

A) no the table does not represent a linear function

B) the slope ( average rate of change)is 2

2nd question

A) yes the table represent a linear function

B) the slope( average rate of change) is 6

I hope u get what ur looking for and I wish u give me brainlist But I know u won’t bcz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much

Sincerely Caitlin ,

Thank you ☺️

5 0

3 years ago

WILL MARK BRAINLIEST !!!

iren2701 [21]

Answer:

(-3,3) Hope that this does help!

6 0

3 years ago