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Verizon [17]
3 years ago
12

X + 4y = 13 x - y = 3 systems of equations I need help on a couple of these like ASAP

Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0
A.)
Slope:-1/4
Y intercept: (0,13/4)
X intercepts:(13,0)
B.)
X intercepts:(3,0)
Y intercepts:(0,-3)
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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther
mariarad [96]
<h2>Answer:</h2>

<em><u>Recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\

Therefore, on checking, we observe that,

a_{n}=a_{n-1}+(n-1)^{2}

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

<u>At, </u>

<u>n = 1</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0

which is true.

<u>At, </u>

<u>n = 2</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1

Which is also true.

<u>At, </u>

<u>n = 3</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5

Which is true.

<u>At, </u>

<u>n = 4</u>

a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14

This is also true at the given value of 'n'.

<em><u>Therefore, the recursive equation for the pattern followed is given by,</u></em>

a_{n}=a_{n-1}+(n-1)^{2}

3 0
3 years ago
{3/4 x (3/3/4 ÷ 5/16)} -3/1/3
slega [8]
I did this online and got this hope this helps

6 0
3 years ago
About how many cheese puffs can fit on the plate in a
ikadub [295]
Tbh depends how big the plate it
5 0
3 years ago
Read 2 more answers
20.00 + .045x =y what is the rate of change for each?
Delicious77 [7]

Answer:

Step-by-step explanation:

20 is a constant, the rate of change of y is 0.045x, so the rate is stated as 0.045

7 0
3 years ago
Which represents the value of c?
Elan Coil [88]

Answer:

Step-by-step explanation:

you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???  

some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.

Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this.   Ask about it if you don't get it.  :)

Sin(45) / c   = Sin(45) / 3  

now algebraically solve for c

3* Sin(45) / Sin(45)  = c

if you're thinking the answer is 3 you're right.

indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs.   so  you know that x = 3 right away from that, but, it's good to understand Law of Sines as well.  :)  

5 0
3 years ago
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