Each co-worker can get 3 whole boxes, there is one half left over
Answer:
<h2>Neither expression satisfies the given rational root.</h2>
Step-by-step explanation:
To find the right answer, we just need to replace the given root in each expression and see which one gives zero.
<h3>First expression.</h3>
![f(x)=4x^{4} -7x^{2} +x+25\\f(-\frac{2}{5})= 4(-\frac{2}{5})^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+25=\frac{64}{625}-\frac{28}{25} -\frac{2}{5} +25 \approx 23.58](https://tex.z-dn.net/?f=f%28x%29%3D4x%5E%7B4%7D%20-7x%5E%7B2%7D%20%2Bx%2B25%5C%5Cf%28-%5Cfrac%7B2%7D%7B5%7D%29%3D%204%28-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B4%7D%20-7%28-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D%20%2B%28-%5Cfrac%7B2%7D%7B5%7D%29%2B25%3D%5Cfrac%7B64%7D%7B625%7D-%5Cfrac%7B28%7D%7B25%7D%20-%5Cfrac%7B2%7D%7B5%7D%20%2B25%20%5Capprox%2023.58)
<h3>Second expression.</h3>
![f(x)=9x^{4}-7x^{2} +x+10=9(-\frac{2}{5} )^{4} -7(-\frac{2}{5} )^{2} +\frac{2}{5} +10 \approx 9.5](https://tex.z-dn.net/?f=f%28x%29%3D9x%5E%7B4%7D-7x%5E%7B2%7D%20%2Bx%2B10%3D9%28-%5Cfrac%7B2%7D%7B5%7D%20%29%5E%7B4%7D%20%20-7%28-%5Cfrac%7B2%7D%7B5%7D%20%29%5E%7B2%7D%20%2B%5Cfrac%7B2%7D%7B5%7D%20%2B10%20%5Capprox%209.5)
<h3>Third expression.</h3>
![f(x)=10x^{4}-7x^{2} +x+9=10(-\frac{2}{5} )^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+9 \approx 7.7](https://tex.z-dn.net/?f=f%28x%29%3D10x%5E%7B4%7D-7x%5E%7B2%7D%20%2Bx%2B9%3D10%28-%5Cfrac%7B2%7D%7B5%7D%20%29%5E%7B4%7D%20-7%28-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D%20%2B%28-%5Cfrac%7B2%7D%7B5%7D%29%2B9%20%5Capprox%207.7)
<h3>Fourth expression.</h3>
![f(x)=25x^{4}-7x^{2} +x+4=25(-\frac{2}{5} )^{4} -7(-\frac{2}{5})^{2} +(-\frac{2}{5})+4 \approx 3.12](https://tex.z-dn.net/?f=f%28x%29%3D25x%5E%7B4%7D-7x%5E%7B2%7D%20%20%2Bx%2B4%3D25%28-%5Cfrac%7B2%7D%7B5%7D%20%29%5E%7B4%7D%20-7%28-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D%20%2B%28-%5Cfrac%7B2%7D%7B5%7D%29%2B4%20%5Capprox%203.12)
Therefore, neither expression satisfies the given rational root.
His model is incorrect because 20 x 7 is not 14, it is 140. If he had 140 instead of 14, he would have been correct.
I haven't done division like that in a long time, so this is what I think it will look like. I didn't add other work (multiplying 4 with #'s) but you can if you have to
Answer:
vr = 95%
Step-by-step explanation:
We have a total of 80 members of a club that represents 100%, now we want to know what percentage represent the 76 members who voted for raina (vr)
% = 95%
Answer:
The slope of the line given by the equation -3x=30-5y is
.
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.
![\frac{5y}{5} = \frac{30+3x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5y%7D%7B5%7D%20%3D%20%5Cfrac%7B30%2B3x%7D%7B5%7D)
You get:
<em>y= </em>
<em />
According to y=mx+b, mx refers to the slope.
In this case, the slope would be
.