Subtract (7.8 - 5.1t) from (2.8 - 3.2t). Use
the Commutative Property to show the
difference another way.

we can use the commutative property to show the difference in the following ways:-

a. (-3.2t + 2.8) - (-5.1t + 7.8)

b. 1.9t - 5

c. (-3.2t + 2.8) - (-5.1t + 7.8)

Step-by-step explanation:

Commutative simply has to do with "moving around". In the case of addition, the commutative property rule is "x + y = y + x". When it comes to numbers, it my 7 + 8 = 8 + 7. In the case of multiplication, the commutative property rule is "m × n = n × m". So whenever commutative property is referred to, what is expected is "to move around". Commutative property rule can be executed as you pair, add or subtract like terms e.g 2a - 4 + 9a can be rewritten as 2a + 9a - 4 or 11a - 4

In the question, we were asked to subtract (7.8 - 5.1t) from (2.8 - 3.2t) and use the commutative property to show the difference in another way.

Subtracting (7.8 - 5.1t) from (2.8 - 3.2t) will give:-

(2.8 - 3.2t) - (7.8 - 5.1t) (This is the original expression)

Removing the bracket:

2.8 - 3.2t - 7.8 + 5.1t

= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)

Subtracting the like terms, will give: 1.9t - 5 (This is also the difference shown in another way).

Recall that the initial expression was

(2.8 - 3.2t) - (7.8 - 5.1t).

We can also use the commutative property rule to show the difference in the following way:-

(-3.2t + 2.8) - (-5.1t + 7.8)

By so doing, the figures have been rearranged without altering or affecting the outcome of the expression.

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true