Factor the equation to give
By the zero product property, either x^2=0 or (3x^2+12-6x)=0 or both.
If x^2=0, then x=0
if (3x^2+12-6x)=0, we use the quadratic formula to solve for x
where x=1 ± √ (3) i
Answer: the roots of <span>3x^4+12x^2=6x^3 are {0 (multiplicity 2), 1+√3 i, 1-√3 i}</span>
The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.
What is scaling ?
It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.
It is given that :
The distance on the map between Yappy city and Quiet city is 23 cm
and,
5cm = 2 miles
now, for 1 cm on map it is equal to 2/5 miles of actual distance.
Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :
actual distance :
2/5 x 23 = 9.2 miles
Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.
Read more about ratio at:
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$482.5 is the FINAL ANSWER
To find commission:
We can use the base of 100% being 1650
We can use 5% because thats her commission
Use: 100(x)=1650(5) -> 100(x)=8250 after doing math, youll get the outcome of 82.5 commission
To find the total:
Just add that commission to her total being 82.5 + 400 = 482.5 $
Answer:
y = 3/2x - 7
Step-by-step explanation:
slope-intercept: y = mx + b
m = slope (3/2)
b = y-intercept (-7)
when put together, the equation is y = 3/2x - 7.
Answer:
6x - 15y = -63
15x -15y = -90
Step-by-step explanation:
We need to multiply the two equations by a constant that will eliminate the y terms.
The two equations are:
2x - 5y = -21
3x - 3y = -18
Let us multiply the first by 3 and the second by 6. The resulting equations will be:
6x - 15y = -63
15x -15y = -90
Note: To solve the system of equations we can simply subtract the first from the second.
