All categories

3 years ago

A parabola $ax^2+bx+c$ contains the points $(-1,0)$, $(0,5)$, and $(5,0)$. Find the value $100a+10b+c$.

Mathematics

1 answer:

victus00 [196]3 years ago

3 0

Answer:

STOP CHEATING ON AOPS WORK!!!!

Step-by-step explanation:

1. pay attention in class

2. ask message board if you need to

3. stop googling answers

4. you paid lots of money for this course so its all going to waste now thanks to your laziness you ugly piece of sH*t

You might be interested in

What is a common denominator for ⅜ and ⅔

il63 [147K]

Answer:

24 is the simplest common denominator of 3 and 8

Step-by-step explanation:

24 is the first time they can become equal without becoming a decimal

hope this helps <3

8 0

3 years ago

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

Please help me guysssssssssss I need help.......... Assignment due in 30 MIN!!!!! 1 PIC ATTACHED

MAVERICK [17]

The tool is easy to use. All you need to do is choose the number of words you want to create (the default is five, but you can input any number you'd like) and the type of words you want. You can choose from all words, verbs only, nouns only or adjective only depending on which best meets your needs.

5 0

3 years ago

Read 2 more answers

Is this a linear equation <br> 4xy + 2y = 9

puteri [66]

Answer:

Step-by-step explanation:

because you have two variables x and y, and there is two letters attached to one number 4xy, so no is not a linear equation

5 0

2 years ago

What is 54% into a decimal?

Novay_Z [31]