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3 years ago

to solve x+11=23,Jasmine subtracted 11 from both sides of the equation. which property justifies this step?

Mathematics

2 answers:

musickatia [10]3 years ago

6 0

The best answer is C.

The subtraction quality pf equality states that when you subtract a the same number from both sides of an equation, the result is still equal.

alexgriva [62]3 years ago

4 0

Answer:

C. Subtraction property of equality.

Step-by-step explanation:

By Commutative property of addition,

a + b = b + a Where a and b are any numbers,

By Addition property of equality,

a = b ⇒ a + c = b + c Where s, b and c are any number,

By Subtraction property of equality,

a = b ⇒ a - c = b - c Where s, b and c are any number,

By Associative property of addition,

a + ( b + c ) = (a + b ) + c,

Here, the given equation,

x + 11 = 23,

Her step is x + 11 - 11 = 23 - 11

Hence, by the above explanation it is clear that,

Her step justified Subtraction property of equality.

Option C is correct.

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For what values of b the relation R:{(b^2, 5), (5b, 6)} is not a function?

xenn [34]

Answer:

B=5,0.

Step-by-step explanation:

It's not that hard. It's just that it might throw you off a bit with the R and the other things. Functions if you don't remember are where the coordinates don't have the same x and y. So since the y1 and y2 are different then to make it not a function, you have to make x1 and x2. To make it that b would have to be = to 5 and 0.

6 0

3 years ago

A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the

babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.