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schepotkina [342]
3 years ago
12

Help me pls ill give extra points

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

y = x + 1

Step-by-step explanation:

We are using the points (0, 1) and (6, 7). First, use these points to find the slope.

m = y₁ - y₂/x₁ - x₂

⇒ m = 7 - 1/6 - 0

⇒ m = 6/6

⇒ m = 1

Now that we know the slope is one, enter the values into the point-slope form equation. I'll use (0, 1) in this instance.

y - y₁ = m(x - x₁)

⇒ y - 1 = 1(x - 0)

⇒ y - 1 = x

⇒ y = x + 1

Therefore, the equation is y = x + 1.

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What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

6 0
2 years ago
Two friends start a business. Together they spent 800 dollars for their initial inventory. They will sell all of their initial i
Paul [167]
Their selling price was 2.45 times the price they bought it. If they split the profit evenly and there was two of them, multiply their profit by two and divide that number by 800 to find how much more they sold it for, so they sold it for 245% more than they bought it
5 0
3 years ago
Which statement correctly describes the slope of the linear function that is represented by the data in the table?
777dan777 [17]
Slope=change in y/change in x

one way is t pick 2 points, (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)

pick some points
(8,4) and (8,0)
slope=(0-4)/(8-8)=-4/0=undefined
the slope is undefined
so you could say there is no solpe


answer is D


5 0
3 years ago
Read 2 more answers
Can someone Help me please?? :(
Sever21 [200]

Answer:

its 55

Step-by-step explanation:cuz why not

5 0
2 years ago
Read 2 more answers
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