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Pavlova-9 [17]
3 years ago
8

Consider the equation y=2x+5 . Create a table of five ordered pairs that satify the equation. What is the y-intercept of the equ

ation? What is the x-intercept of the equation?
Mathematics
2 answers:
SOVA2 [1]3 years ago
6 0

Answer:

five ordered pairs are (-2,1) (-1,3) (0,5) (1, 7) (2, 9)

y intercept is (0,5)

x intercept is (-2.5, 0)

Step-by-step explanation:

y=2x+5

To get 5 ordered pairs , plug in some random number for x and find out y

x           y= 2x+5

-2            2(-2) + 5= 1

-1             2(-1) + 5= 3

0             2(0) + 5= 5

1             2(1) + 5= 7

2             2(2) + 5= 9

five ordered pairs are (-2,1) (-1,3) (0,5) (1, 7) (2, 9)

When x=0 , the value of y = 5

So y intercept is (0,5)

To find x intercept we plug in 0 for y

y=2x+5

0 = 2x +5

subtract 5 from both sides

-5 = 2x

divide by 2 on both sides

x= -5/2

so x intercept is (-2.5, 0)

kupik [55]3 years ago
5 0
Since y=mx+b is the slope-intercept form of a line, where m=slope and b=y-intercept, we can see that:

The y-intercept is 5 (technically the point (0,5))

The x-intercept occurs when y=0 so:

2x+5=0

2x=5

x=2.5

So the x-intercept is the point (2.5, 0)


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Nina [5.8K]

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

========================================================

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

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