Given line M = ax + by + c, b ≠ 0 What is the slope of the function?
b/a
a/b
-a/b
The equation -2x^ 2 + 3x + 4 = 7 can be solved only by using the quadratic formula.
True
False
Without solving the equation, determine the discriminant and the nature of the roots.
x ^2 - 7x - 7 = 0
77; two, real unequal roots
-21; two, non-real unequal roots
-77; two, non-real unequal roots
0; no real roots
Use synthetic division to find the remainder.
When x ^4 - x ^2 + x - 1 is divided by x - 1
-1
-2
0
1
2x^ 2 + 1 is a factor of 2x ^3 + 5x ^2 - 5x + 1
True
False
240° 7pi/3 radians
True
False
The graph y = cos x, given the domain -pi/2≤x≤3pi/2 , has x-intercepts at -pi/2, pi/2and 3pi/2
true
false
The range of the graph y = sin x - 2 is 2 ≤ y ≤ -2
true
false
The domain of the graph y = tan x is all real numbers
True
False
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Answers & Comments
Verified answer
1) ax+by+c=0 becomes by= -ax-c y= (-a/b)x-(c/b)....which is of the form y=mx+c...so slope of the line is -a/b.
2) FALSE, it can be even solved by using other methods
3) real unequal roots.
4)
5)
6) 7pi/3 = 7(180°)/3 = 420°
7) TRUE cosx has the intercepts pi/2, pi/2and 3pi/2 in the given domain
8) FALSE, -1 ≤sinx≤ 1, So, -1-2 ≤ sinx-2 ≤ 1-2 -3 ≤ sinx-2 ≤ -1
9) FALSE, Domain of tanx is set of all real numbers minus odd multiples of pi/2