The cost of 5 boxes of cookies is 15 dollars. Which equation shows this in function notation?
1 answer:
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Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
Answer: The sum of 75.2+(57.376+24.8) is 157.376.
Explanation:
The commutative property of addition states that,
The associative property of addition states that,
The given expression is 75.2+(57.376+24.8).
First use commutative property of addition in the parenthesis.
Now use associative property of addition.
Now simplify the expression,
Therefore, the sum of 75.2+(57.376+24.8) is 157.376.