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valentinak56 [21]
3 years ago
9

Describe the steps to graph the equation "f(x) = 14x + 1" on the coordinate axes. Mention the labels on the axes and the interva

ls.
Mathematics
1 answer:
Svetllana [295]3 years ago
7 0
It's a linear function, so you only need 2 points and then connect them together.

Easiest way: x = 0 ->y = 1 ->(0,1)

x = 1->y = 15 ->(1,15)


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The sum of squares of three consecutive numbers is 77 find the numbers​
ollegr [7]

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4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  x^{2} ,(x+1)^{2} ,(x+2)^{2}

Sum = 77

∴by the problem ,

x^{2} +(x+1)^{2}+(x+2)^{2}  = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\

{Taking 3 common }

x^{2} +2x- 24 = 0\\

{By factorization}

x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\

Therfore,

x= -6,4\\

<em>X can't be negetive </em>

∴ x =4\\x+1=5\\x+2=6

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

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x^2 + 4
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