well for a line, to get its slope all we need is two points, so let's use (-6, 5) and (0, 1), and get the equation of it.
![\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=-\cfrac{5}{6}[x-(-6)]\implies y-5=-\cfrac{5}{6}(x+6) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{to get the x-intercept, we set y = 0, solve for \underline{x}} \\\\\\ 0-5=-\cfrac{5}{6}(x+6)\implies -30=5x+30\implies -60=5x \\\\\\ \cfrac{-60}{5}=x\implies -12=x~\hfill \boxed{\stackrel{x-intercept}{(-12,0)}}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%0A%5Ccline%7B1-1%7D%0A%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%0A%5Ccline%7B1-1%7D%0A%5C%5C%0Ay-y_1%3Dm%28x-x_1%29%0A%5C%5C%5C%5C%0A%5Ccline%7B1-1%7D%0A%5Cend%7Barray%7D%5Cimplies%20y-5%3D-%5Ccfrac%7B5%7D%7B6%7D%5Bx-%28-6%29%5D%5Cimplies%20y-5%3D-%5Ccfrac%7B5%7D%7B6%7D%28x%2B6%29%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Ctextit%7Bto%20get%20the%20x-intercept%2C%20we%20set%20y%20%3D%200%2C%20solve%20for%20%5Cunderline%7Bx%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A0-5%3D-%5Ccfrac%7B5%7D%7B6%7D%28x%2B6%29%5Cimplies%20-30%3D5x%2B30%5Cimplies%20-60%3D5x%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B-60%7D%7B5%7D%3Dx%5Cimplies%20-12%3Dx~%5Chfill%20%5Cboxed%7B%5Cstackrel%7Bx-intercept%7D%7B%28-12%2C0%29%7D%7D)
now, where's the y-intercept of that line? well, to get the y-intercept, we set x = 0 and solve for "y"....hmmmm wait a second, notice (0, 1), x = 0, y = 1, that's the y-intercept already.
Let's set up some equations.
We know that 7/8 of a liter fills up our bottle 5/6 of the way. Thus 7/8=5/6 * b.
Now, let's divide both sides by 5/6 to get b = 21/20. However, none of the answer choices provided are correct. Let's look at each one to determine why it's not correct.
A. This answer is false because 35/48 < 7/8. If 7/8 of a liter doesn't completely fill up the bottle, there is no way that a value less than 7/8 can fill up the bottle - it's impossible.
B. Same case as answer A, but 11/38 instead of 35/48.
C. Same case as answer A, but 11/20 instead of 35/48.
D. This answer however is more than 35/48, so is it correct? No. 113/35 is just over 3. Since 7/8 of a liter almost fills the bottle but does not quite completely fill it, there is no way that adding 2 more liters can fill up the bottle just the tiny 1/6 of the way. That is disproportional and is thus wrong.
First rearrange the equation:
x = 2y then 2y = x y= 1/2x
So the slope is 1/2
The equation for this polynomial graphed will be P(x) = a(x + 2)(x + 1)(x – 3)³.
<h3>What is polynomial?</h3>
A polynomial expression is an algebraic expression with variables and coefficients.
The graph of the polynomial is given below.
From the graph, the roots of the polynomial will be -2, -1, and 3.
Then the factor of the polynomial will be
(x + 2), (x + 1), and (x – 3)
Then the polynomial will be
P(x) = a(x + 2)(x + 1)(x – 3)³
More about the polynomial link is given below.
brainly.com/question/17822016
#SPJ1
Answer:
4x^2-9
Step-by-step explanation:
i just took the quiz
