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Elenna [48]
2 years ago
11

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3

Mathematics
2 answers:
Svetach [21]2 years ago
6 0

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

please mark me as brainlest

Natali [406]2 years ago
3 0

Answer: y-2=1/3(x-3), which is Choice [B]

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem! (:

First, do you remember what the "point-slope" formula is? It's

y-y1=m(x-x1)

Now it's just a matter of sticking in the known values.

y-2=1/3(x-3)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

\bigstar\underbrace

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Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani
Natali [406]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|

We have the constraints:

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0
3 years ago
Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the ar
PIT_PIT [208]
Where’s the rest of the question?
5 0
3 years ago
Marcia has 412 flowers for centerpieces she uses 8 flowers for each center how many center pieces can she make
a_sh-v [17]

Answer:

5l.5

Step-by-step explanation: 412 divieded into 8 is 51 or 51.5

5 0
3 years ago
Read 2 more answers
Add and reduce to lowest terms: 5 1/4+4 5/6
lakkis [162]

Answer:

−6.7 + (−2 1/ 5 )

Step-by-step explanation:

−6.7 + (−2 1/ 5 )

4 0
3 years ago
Read 2 more answers
How to subtract hexadecimal number when one is bigger than the other?
Inessa05 [86]
Hello,

In order to be simple: let's code hexadecimal numbers on 4 digits.

Example: 500-200=300 (in décimal)

500_{10}=01F4_{16}\\\\
200_{10}=00C8_{16}\\\\
For\ subtract\ 00C8\ we\ calculate\ 15th\ complement\\\\
C_{15}(00C8)=FF37\\\\

16th\ complement= FF37+0001=FF38\\\\

Then\ we\ add\\\\

01F4+FF38=(1)012C\ on\4\ digits:\ 012C\\

012C_{16}=300_{16}


7 0
3 years ago
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