Answer: D
Step-by-step explanation:
this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.
Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x
for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.
your finished equation would be: y=-x+2
i hope this is helpful
The number is 20. Work in picture if you want it or want justification of steps:)
I don't know the rest of the question but
$4.50 is looking good!!
The equivalent expression of
is ![\frac{25a^{2}b^{10}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B25a%5E%7B2%7Db%5E%7B10%7D%7D%7B6%7D)
<h3>How to determine the equivalent expression?</h3>
The expression is given as:
![\frac{(5ab)^3}{30ab^{-7}}](https://tex.z-dn.net/?f=%5Cfrac%7B%285ab%29%5E3%7D%7B30ab%5E%7B-7%7D%7D)
Expand the numerator
![\frac{(5ab)^3}{30ab^{-7}} =\frac{125a^3b^3}{30ab^{-7}}](https://tex.z-dn.net/?f=%5Cfrac%7B%285ab%29%5E3%7D%7B30ab%5E%7B-7%7D%7D%20%3D%5Cfrac%7B125a%5E3b%5E3%7D%7B30ab%5E%7B-7%7D%7D)
Divide 125 and 30 by 5
![\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^3b^3}{6ab^{-7}}](https://tex.z-dn.net/?f=%5Cfrac%7B%285ab%29%5E3%7D%7B30ab%5E%7B-7%7D%7D%20%3D%5Cfrac%7B25a%5E3b%5E3%7D%7B6ab%5E%7B-7%7D%7D)
Apply the law of indices
![\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{3-1}b^{3+7}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%285ab%29%5E3%7D%7B30ab%5E%7B-7%7D%7D%20%3D%5Cfrac%7B25a%5E%7B3-1%7Db%5E%7B3%2B7%7D%7D%7B6%7D)
Evaluate the exponent
![\frac{(5ab)^3}{30ab^{-7}} =\frac{25a^{2}b^{10}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%285ab%29%5E3%7D%7B30ab%5E%7B-7%7D%7D%20%3D%5Cfrac%7B25a%5E%7B2%7Db%5E%7B10%7D%7D%7B6%7D)
Hence, the equivalent expression of
is ![\frac{25a^{2}b^{10}}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B25a%5E%7B2%7Db%5E%7B10%7D%7D%7B6%7D)
Read more about equivalent expression at:
brainly.com/question/2972832
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