9514 1404 393
Answer:
x-intercept: -14/9
y-intercept: 7
Step-by-step explanation:
This is one of the easiest forms for finding intercepts. To find the x-intercept, set y=0 and divide both sides by the coefficient of x.
-9x = 14 . . . . . set y=0
x = -14/9 . . . . divide by -9
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To find the y-intercept, set x=0 and divide both sides by the coefficient of y.
2y = 14 . . . . set x=0
y = 7 . . . . . . divide by 2
The x-intercept is -14/9; the y-intercept is 7.
100 ---> 96 is -4
96 ---> 104 is +8
104 ---> 88 is -16
88 ---> 120 is +32
120 ---> 56 is -64
So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.
The pattern of numbers is: -4, +8, -16, +32, -64
Notice it's the powers of 2:
2^2 = 4
2^3 = 8
2^4 = 16
2^5 = 32
2^6 = 64
each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.
The last difference is -64, which doubles to -128. Change the sign to positive to get +128
Add 128 to the last term of 56 to get
128+56 = 184
Therefore, the final answer is 184
Answer:
x-intercept: 0,-1 . y-intercept: -1.5,0
Step-by-step explanation:
When given a point-slope equation y-y=m(x-x), the second x and y values mark a point in the line and the m value is the slope (rise over run). Just graph the line from there (in this case the slope would be 2 down and 3 to the right).
Looking at x^2 - x - 30, we see that 5*6=30, so we can immediately conclude that <span>x^2 - x - 30 = (x+5)(x-6). check this by multiplication.
</span><span>2m^2 - 2m - 60 can be reduced to 2(m^2 - m - 30), which in turn can be factored as 2(m+5)(m-6). The trick here is to notice how easily "2" can be factored out of the given equation.
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