Answer: (-2, 5) and (2, -3)
<u>Step-by-step explanation:</u>
Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:
y - intercept = (0, 1) 2nd point = ( -1, 1).
Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):
vertex = (1, -4) 2nd point (y-intercept) = (0, -3)
<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)
Hello from MrBillDoesMath!
Answer: 215
Discussion:
Let's start by rewriting the monomial as
215 x^18 y ^3 z^21
Now..
x^ 18 = (x^6)^3
y^3 = (y )^3
z^21 = (z^7)^3
So those terms are already cubes! The only remaining candidate is the number 215, which is not a cube.
Thank you,
MrB
Answer:
y = -2x + 1
Step-by-step explanation:
<u>Formulae:</u>
<u />
Slope: 
- m = slope
- y₂ = second y-value
- y₁ = first y-value
- x₂ = second x-value
- x₁ = first x-value
Point-slope form: 
- y₁ = first y-value
- m = slope
- x₁ = first x-value
Slope-intercept form: 
- m = slope
- b = y-intercept value
<u>Calculations:</u>
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Answer:
113:348
Step-by-step explanation:
i got it wrong cause i only put 113 but it showed this is the answer
Answer:
See answer below
Step-by-step explanation:
Define the intervals:
for n≥1.
The intervals are nested, in the sense that 
To see this, use the fact that for all n≥1, -1/n≤-1/(n+1) and 1/n≥1/(n+1) (intuitively, the intervals are "shrinking" in size, and are centered around √2).
The only point common to all intervals is √2, in the sense that 
The idea for this construction is to center the intervals around √2 and shrink their size with the summand 1/n. As n goes to infinity, 1/n tends to zero and the intervals became closer and closer to √2, but they NEVER degenerate to the point √2, in contrast to their intersection.
