Answer:
4y = -3x +30
Firstly you have to look for the gradient or slope using the points given in the question.
Then substitute the gradient (m) into y= mx+ c
x + 1 minus StartFraction 4 Over x cubed + 3 x squared + 8
Step-by-step explanation:
Volume of the prism is given by the product of its base area and height. To get the height, divide the volume by the base area
Perform long division of the volume polynomial by the polynomial for base area to get the polynomial for height
x³+3x²+8 √x⁴+4x³+3x²+8x+4
-x⁴+3x³+8x
---------------------------
1x³+3x²+0+4
- 1x³+3x²+8
------------------------
-4
The answer will be : x+1 + -4/(x³+3x²+8)
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Dividing polynomials : brainly.com/question/11792208
Keywords : volume, rectangular prism, area,height
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Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
(2x-5y) + (x+y)
= (2x+x) + (-5y+y)
= 3x + (-4y)
= 3x-4y
So option A is the correct one.
