Simplify 5.3x-8.14+3.6x+9.8
2 answers:
Answer:
The simplified form of the given expression is 8.9x+1.66.
Step-by-step explanation:
The given expression is
We need to find the simplified form of the given expression.
If two terms have same variables of same degree then they are called like terms.
In the given expression 5.3x and 3.6x are like terms and -8.14 and 9.8 are like terms.
On combining like terms we get
Therefore, the simplified form of the given expression is 8.9x+1.66.
You might be interested in
Answer: depth = 5 ft
width = 10 ft
length = 40 ft
Step-by-step explanation:
d = depth
width = d + 5
length = d + 36
Volume = length x width x depth = 2000 cf
d(d+35)(d+5) = 2000
d( + 40d + 175) = 2000
d^3 + 40d^2 + 175d = 2000
rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0
d^3 + 40(d^2) + 175d - 2000 = 0
Find the roots of the cubic polynomial:
factors of 2000 are 1, 5, 10 15, 20, etc.
Try the factor 5 first by plugging it in the equation:
5^3 + 40(5^2) + 175(5) - 2000 = 0
Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.
So, depth = 5 ft
width = 5 + 5 = 10 ft
length = 5 + 35 = 40 ft