Answer:
2x+3y=-6
x-y=5
Step-by-step explanation:
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Answer:
x=1
Step-by-step explanation:
x=-b/(2a)
a=2
b=-4
c=2
-(-4)/(2*2)=4/4 or 1
x=1
Answer:
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5. f(4) is 3. f(3) is 2. Thus, f[f(4)]=2
6. g(2) is 3. g(3) is 1. g[g(2)]=1
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A. The probability is 1/36. There are 36 combinations of the first and second dice and only one of them is 2 - 4s.
B. 10/36. Ten of the options contain exactly 1 - 4.
C. The remaining 25/36 options do not include a 4.
Find slope of line A:
Move into slope-intercept form y = mx+b
<span>5x + 8y = -9
8y = -5x - 9
y = (-5/8)x - 9/8
The slope of line A is -5/8.
If </span><span>Line B is perpendicular to line A, then
slope Line B = negative reciprocal of slope Line A</span>
<span>slope Line B = 8/5
So like B has the equation
y = (8/5)x + b
If it passes through (10,10), we know that when x = 10, y = 10. Use those values to solve for b:
</span>
<span>y = (8/5)x + b
10 = (8/5)·10 + b</span>
<span>10 = (8)·2 + b
10 = 16 + b
b = -6
So line B has equation </span>
<span>y = (8/5)x - 6
m = 8/5 and b = -6
so
m + b = 8/5 - 6 = 8/5 - 30/5 = -22/5
So m+b = -22/5 or -4.4 in decimal form
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