Answer:
Step-by-step explanation:
We can solve this multiplication of polynomials by understanding how to multiply these large terms.
To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.
- <em>We can do this by focusing on one term in the first polynomial and multiplying it by </em><em>all the terms</em><em> in the second polynomial. We'd then repeat this for the remaining terms in the second polynomial.</em>
Let's first start by multiplying the first term of the first polynomial, , by all of the terms in the second polynomial. ()
Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now
Now let's do the same with the second term () and the third term ().
- Adding on to our original expression:
- Adding on to our original expression:
Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.
This simplifies our expression down to .
Hope this helped!
banana bananananananananananannananana
<h3>
Answer: 4 cm</h3>
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The base of the carton is 5*8 = 40 square cm. The height of the milk is 12 cm, so the milk takes up 40*12 = 480 cubic cm of volume. Imagine a rectangular block with dimensions 5, 8 and 12. The volume would be 480.
The carton is placed on its side. Specifically the orange side is flat on the table (assume the table is level). This orange face has area 8*15 = 120 square cm. It multiplies with some height h, which is the height of the milk after moving the carton, to get the volume of the milk inside.
The volume of the milk is 120h and it must be equal to 480 since the amount of milk has not changed as we moved the carton (assume there are no leaks)
So,
120h = 480
120h/120 = 480/120
h = 4
The height of the milk after moving the carton is 4 cm
Y=mx+b
m=slope
b=y itnercept
remember the points go in (x,y) form
also, an easy way to find points is to subsitute values for x andn get values for y
so
6. y=5x-1
some points are (0,-1) (1,4) (2,9) (314)
7. y=-x+8
some points are (0,8) (1,7) (2,6) (3,5)
8. y=0.2x+.3
somepoints are (0,0.3) (1,0.5) (2,0.7) (3,0.9)
9. y=1.5x-3
somepoints are (0,-3) (1,-1.5) (2,0) (3,1.5)
10. y=-1/2x+4
somepoints are (0,4) (1,7/2) (2,3) (3,5/2)
11. y=2/3x-5
some points are (0,-5) (1,-13/3) (2,-11/3) (3,-3)