The associative property says that if we're adding a bunch of numbers together, the parentheses do not affect the order in which we add. that means:
a + (b + c) is the same as (a + b) + c
therefore:
h + (y + 4.1) = (h + y) + 4.1
this is illustrating that property, specifically in regards to addition. so the answer is the associative property of addition.
the commutative property, on the other hand, states that order itself doesn't affect the answer when we're adding a bunch of numbers together. this means that:
a + b + c = c + b + a = a + c + b and so on and so forth.
so when we have the following equation:
t * 1.5 = 1.5 * t
this is demonstrating the commutative property of multiplication.
s * p = p * s
guess what! this is really the same question as before. all we're doing is flipping the two numbers(variables) around, showing that order does not matter. thus, the answer is yet again the commutative property of multiplication.
(0 + z) + 8 = (z + 0) + 8
this one might look like the associative property, but the associative property involves moving the parentheses around or getting rid of them altogether to show that the parentheses don't matter to the final answer. In this one, all that is happening is the 0 and z are being flipped inside the parentheses, illustrating the commutative property of addition.
Answer:
y = 4/5x + 32/5
Step-by-step explanation:
(-3,4) and (2, 8)
Slope:
m=(y2-y1)/(x2-x1)
m=(8-4)/(2+3)
m= 4/5
Slope-intercept:
y - y1 = m(x - x1)
y - 4 = 4/5(x + 3)
y - 4 = 4/5x + 12/5
y = 4/5x + 32/5
Answer:
388 ft^2
Step-by-step explanation:
you can cut the figure into a square, rectangle, and triangle. you find the area for each shape, then add them together to find the total area.
Answer:
You should put the parentheses on the 12/3+2(11)
Hope this helps! :)
Answer:
<em>c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.</em>
Step-by-step explanation:
<u>Function Modeling</u>
Let's take a look at both functions provided by the problem:
We are told that f(x) represents a student's displacement from school. We notice the following changes in g(x) with respect to f(x)
- All the expressions in parentheses represent a displacement of -10 units in x. If x is time, then in g(x), the time is 10 minutes later than in f(x)
- The factor that multiplies the three parentheses is 1 in f(x) and -0.5 in g(x). If that factor is the speed, then in g(x) the speed is half the speed in f(x) and in the opposite direction. The distance will be half of the distance of f because the student moves slower.
- g(x) has an offset of +6, meaning the object is initially 6 miles further.
The option that collects all the conditions observed in both functions is:
c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further
