Answer:B is the correct option.
Step-by-step explanation:
Looking at the equation representing the first cut,
y = - x/3 + 6
The graph is a straight line graph. The equation for a straight line graph can be represented in the slope intercept form,
y = mx + c
Where
m represents the slope ( change in y / change in x)
c represents the intercept.
Looking at the given equation, the slope is - 1/3
If two lines are parallel, it means that they have equal slope. Since the line of the second cut must be parallel to the line of the first cut, the slope of the line of the second cut will be - 1/3
To find the the intercept of the equation of the line of the second cut, we will substitute
x = - 1/3, y = - 2 and x = 0 into y = - 2 into y = mx + c. It becomes
-2 = - 1/3 × 0 + c
c = - 2
The equation becomes
y = -x/3 - 2
Volume=areabase times height
base=traignele
area=1/2 times base times height=1/2 times 10 times 12=60
height=20
volume=60 times 20=1200 cubic feet
2nd option
Answer:
Option 4 is correct.
Step-by-step explanation:
Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.
The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.
The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.
The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.
If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.
The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.
Therefore, the correct option is 4.
Martin still has 30% of the problems left to do.
Answer:
(-3, 0) and (-1, 0)
Step-by-step explanation:
roots of the eqn = the x-intercepts (if any)
Topic: Quadratic Graphs.
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