![f(-4)=8\to(-4,\ 8)\\\\f(-1)=4\to(-1,\ 4)](https://tex.z-dn.net/?f=f%28-4%29%3D8%5Cto%28-4%2C%5C%208%29%5C%5C%5C%5Cf%28-1%29%3D4%5Cto%28-1%2C%5C%204%29)
The point-slope formula of a line:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Substitute:
![m=\dfrac{4-8}{-1-(-4)}=\dfrac{-4}{3}=-\dfrac{4}{3}\\\\y-8=-\dfrac{4}{3}(x-(-4))\\\\y-8=-\dfrac{4}{3}x-\dfrac{16}{3}\ \ \ \ |+8\\\\y=-\dfrac{4}{3}x-\dfrac{16}{3}+\dfrac{24}{3}\\\\y=-\dfrac{4}{3}x+\dfrac{8}{3}\ \ \ |\cdot3\\\\3y=-4x+8\ \ \ |+4x\\\\4x+3y=8](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4-8%7D%7B-1-%28-4%29%7D%3D%5Cdfrac%7B-4%7D%7B3%7D%3D-%5Cdfrac%7B4%7D%7B3%7D%5C%5C%5C%5Cy-8%3D-%5Cdfrac%7B4%7D%7B3%7D%28x-%28-4%29%29%5C%5C%5C%5Cy-8%3D-%5Cdfrac%7B4%7D%7B3%7Dx-%5Cdfrac%7B16%7D%7B3%7D%5C%20%5C%20%5C%20%5C%20%7C%2B8%5C%5C%5C%5Cy%3D-%5Cdfrac%7B4%7D%7B3%7Dx-%5Cdfrac%7B16%7D%7B3%7D%2B%5Cdfrac%7B24%7D%7B3%7D%5C%5C%5C%5Cy%3D-%5Cdfrac%7B4%7D%7B3%7Dx%2B%5Cdfrac%7B8%7D%7B3%7D%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C3y%3D-4x%2B8%5C%20%5C%20%5C%20%7C%2B4x%5C%5C%5C%5C4x%2B3y%3D8)
The slope-intercept form: ![y=-\dfrac{4}{3}x+\dfrac{8}{3}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B4%7D%7B3%7Dx%2B%5Cdfrac%7B8%7D%7B3%7D)
The standard form: ![4x+3y=8](https://tex.z-dn.net/?f=4x%2B3y%3D8)
<span>
<u><em>Answer:</em></u>7
<u><em>Explanation:</em></u><u>We are given the equation:</u>
</span>
![\frac{7}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B8%7D%20)
<span> * c
We want to get the value of the equation at <u>c = 8</u>.
Therefore, all we have to do is <u>substitute c in the equation with 8 and solve</u> as follows:
</span>
![\frac{7}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B8%7D%20)
<span> * 8
= </span>
![\frac{7*8}{8}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%2A8%7D%7B8%7D%20)
<span>
The 8 in the numerator will be cancelled out with the 8 in the denominator leaving us with only the <u>7 as a solution</u>
Hope this helps :)</span>
Answer:
d/r
Step-by-step explanation:
d = rt
t = d/r
Answer:
![\bold{a_n=(-4)21^{n-1}}](https://tex.z-dn.net/?f=%5Cbold%7Ba_n%3D%28-4%2921%5E%7Bn-1%7D%7D)
Step-by-step explanation:
![a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21](https://tex.z-dn.net/?f=a_1%3D-4%5C%2C%2C%5C%20a_2%3D-84%5C%2C%2C%5C%20a_3%3D-1764%5C%2C%2C%5C%20a_4%3D-37044%5Cquad%5Cimplies%5C%20%5C%20r%3D21)
{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}
geometric sequence formula: ![a_n=a_1r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1r%5E%7Bn-1%7D)
![a_1=-4\quad and \ \ r=21](https://tex.z-dn.net/?f=a_1%3D-4%5Cquad%20and%20%5C%20%5C%20r%3D21)
![a_n=(-4)21^{n-1}](https://tex.z-dn.net/?f=a_n%3D%28-4%2921%5E%7Bn-1%7D)
33.3% is the answer, I think
20/60 ---> 1/3, covert this to a percentage and it equals 33.3%