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Nostrana [21]
2 years ago
14

Which of the following BEST describes how to use the addition property of equality to isolate the variable y

Mathematics
1 answer:
Alexandra [31]2 years ago
5 0

Answer:  C) add 12 to both sides

Reason:

We add 12 to the left side to undo the -12, which will get y by itself.

We must do the same thing to both sides to keep things balanced.

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What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u
elena55 [62]

Answer:

DOMAIN: (-\infty,1]\cup(2,\infty)

RANGE: (-\infty,\infty)

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

(-\infty,1]\cup(2,\infty)

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

(-\infty,\infty)

5 0
3 years ago
Find the product of 51 and -2.5. Use the distributive property to rewrite and solve. The first step is done for you. 51(-2.0) +
I am Lyosha [343]

Answer:

-12.75

Step-by-step explanation:

Find the product of 51 and -2.5. Use the distributive property to rewrite and solve.

The next step using Distributive property is to expand the brackets

5.1 × 2.5

Step 1: Distributive property

51(-2.0) + 51(-0.5)

Step 2: Expand the brackets

-10.2 + -2.55

Step 3

- 12.75

4 0
2 years ago
Read 2 more answers
Solve for x in each of the equations or inequalities below, and name the property and/or properties used:
nordsb [41]

Answer

a) 3/4 x = 9

    x = \dfrac{9\times 4}{3}

    x = 12

b)  10+ 3x = 5x

     2 x = 10

        x = 5

c) a + x = b

       x = b - a

d) c x = d

      x =  \dfrac{d}{c}

e)  \dfrac{1}{2} x - g < m

     \dfrac{1}{2} x< m + g

              x  < 2( m + g)

f) q + 5 x = 7 x - r

   q + r = 2 x

      x = \dfrac{q + r}{2}

4 0
3 years ago
the end points of a diameter of a circle are A(3,1) and B(8,13). Find the area of the circle in terms of X
katrin2010 [14]

Answer:

I think it's 4.52.  Only if that's one of the options I guess. Good luck!

7 0
3 years ago
Read 2 more answers
Solve for y y-(-5)=-7
romanna [79]
Y - (-5) = -7
---------------------------
Simplify
y + 5 = -7
-------------------------------------
Subtract 5 from each side
y + 5 - 5 = -7 - 5
y = -12
--------------------------------------------
y = -12 is your answer

7 0
3 years ago
Read 2 more answers
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