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Mkey [24]
3 years ago
7

Two times the greater of two consecutive integers is 9 less than three times the lesser integer. What are the integers?

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

11 and 12

Step-by-step explanation:

x=smaller

y=larger

2y=3x-9    x+1=y

2(x+1)=3x-9

2x+2=3x-9

11=x

                11+1=y

                    12=y

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The function g is defined as follows for the domain given. g(x) = 2 - 2x , domain = \{- 1, 0, 1, 2\} Write the range of g using
Musya8 [376]

Explanation:

The function is given below as

g(x)=2-2x

The set of domains is given below as

\lbrace-1,0,1,2\rbrace

Step 1:

Put x=-1

\begin{gathered} g(x)=2-2x \\ g(-1)=2-2(-1) \\ g(-1)=2+2 \\ g(-1)=4 \end{gathered}

Step 2:

Put x=0

\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}

Step 3:

Put x=1

\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}

Step 4:

Put x=2

\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}

Hence,

The range of g(x) using set notation will be

\Rightarrow\lbrace4,2,0,-2\rbrace

Hence,

The graph of g(x) is given below as

8 0
1 year ago
The difference of six times a number and 7 is -49
gtnhenbr [62]
Greetings!

"<span>The difference of six times a number and 7 is -49"...

In number and variables, this would be:
</span>6x-7=-49&#10;
<span>
Add 7 to both sides.
</span>(6x-7)+7=(-49)+7
<span>Simplify.
</span>6x=-42
Divide both sides by 6.
(6x)/6=(-42)/6
Simplify.
x=-7

Hope this helps.
-Benjamin
5 0
3 years ago
The length of Peter's rectangular living room is 6 meters and the distance between opposite corners is 7 meters. What is the wid
padilas [110]

Answer:

3.6 m

Step-by-step explanation:

Given that :

Length of room = 6

Distance between opposite corners = 7

Width of room :

Using Pythagoras rule:

Opposite ²= hypotenus² + adjacent²

From. The diagram attached :

w² = 7² - 6²

w² = 49 - 36

w² = 13

w = 3.605

w = 3.6 m

7 0
2 years ago
Find the sum 34+(-96)
Liula [17]

Answer: -62

Step-by-step explanation:

Hope this helps!!

4 0
3 years ago
I need help 7th grade math i need all the answers correct please ASAP
vitfil [10]

Answer:

The 8.39-kg bag

Step-by-step explanation:

19.99 divided by 7.98 = $2.51

20.38 divided by 8.39 = $2.43

2.51 > 2.43

So 8.39-kg bag is the better buy

4 0
2 years ago
Read 2 more answers
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