Answer:
Part 1) The equation that can be used is 1.8x-10=-4
Part 2) The input or x-value is x=10/3
Step-by-step explanation:
we have
f(x)=1.8x-10
g(x)=-4
To find the solution of the system of equations equate f(x) and g(x)
f(x)=g(x)
substitute
1.8x-10=-4 -----> equation that can be used to find the input value at which f (x ) = g (x )
Solve for x
Adds 10 both sides
1.8x=-4+10
1.8x=6
Divide by 1.8 both sides
x=6/1.8
Remember that
1.8=18/10
substitute
x=6/(18/10)
x=60/18
Simplify
x=10/3
Answer: Choice A
m = undefined
point (-2,5)
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Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
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All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
Answer:
$ 2250
Step-by-step explanation:
3375 = s³
s = ∛3375
s = 15 ft.
floor area = s² = (15 * 15)
floor area = 225 ft²
the contractor charges $10 per ft².
therefore,
the hardwood cost = 225 x $10 = $2250
Answer:
1200
Explanation:
Order does not matter, if we said xyz order, it would still not make a difference if it was zyx or yzx hence we use the combination formula:
nCr = n! / r! * (n - r)!
where n= total number of items
r= number of items chosen at a time
Combinations are used when the order of events do not matter in calculating the outcome.
We calculate using the formula:
(30×20×12)÷3!=1200
There are therefore 1200 ways for the three distinct items to not be in same row or column
