1. a^2 + 7a + 10 = 0
(a + 5)(a + 2) = 0
a + 5 = 0....a = -5
a + 2 = 0...a = -2
solution : (-2,-5)
2. n^2 - 8n + 12 = 0
(n - 2)(n - 6) = 0
n - 2 = 0....n = 2
n - 6 = 0...n = 6
solution : (2,6)
3. y^2 - 49 = 0
y^2 = 49
y = sqrt 49
y = (+-) 7
y = 7
y = -7
solution : (-7,7)
4. x^2 + 5x - 6 = 0
(x+ 6)(x - 1) = 0
x + 6 = 0...x = -6
x - 1 = 0...x = 1
solution : (-1,1)
5. u^2 - 7u - 18 = 0
(u - 9)(u + 2) = 0
u - 9 = 0...u = 9
u + 2 = 0....u = -2
solution : (-2,9)
6. m^2 - 5m = 0
m(m - 5) = 0
m = 0
m - 5 = 0...m = 5
solution : (0,5)
7. 2t^2 + 5t - 3 = 0
(2t - 1)(t + 3) = 0
2t - 1 = 0...2t = 1...t = 1/2
t + 3 = 0...t = -3
solution : (1/2,-3)
8. 3w^2 -8w + 4 = 0
(3w - 2)(w - 2) = 0
3w - 2 = 0...3w = 2...w = 2/3
w - 2 = 0....w = 2
solution : (2/3,2)
9. 2x^2 -3x - 5 = 0
(2x - 5)(x + 1) = 0
2x - 5 = 0...2x = 5...x = 5/2
x + 1 = 0....x = -1
solution : (5/2,-1)
10. 5v^2 + 29v + 20 = 0
(5v + 4)(v + 5) = 0
5v + 4 = 0...5v = -4...v = - 4/5
v + 5 = 0....v = -5
solution : (-4/5,-5)
11. 6n^2 - 19n + 15 = 0
(3n-5)(2n-3)=0
3n-5 = 0...3n = 5...n = 5/3
2n - 3 = 0....2n = 3...n = 3/2
solution : (5/3,3/2)
12. 2k^2 + 7k = 0
k(2k+7) = 0
k = 0
2k+7 = 0...2k = -7...k = -7/2
solution : (0,-7/2)
13. 3b^2 + b - 10 = 0
(3b-5)(b+2) = 0
3b - 5 = 0....3b = 5..b = 5/3
b + 2 = 0...b = -2
solution :(5/3,-2)
14. 4y^2 -25 = 0
4y^2 = 25
y^2 = 25/4
y = sqrt 25/4
y = (+-) 25/4
y = 2.5
y = -2.5
solution : (2.5,-2.5)
Answer:
it's a negative number. the answer would be
Step-by-step explanation:
-12
The angle AEC is opposite the angle DEB
the angle AEC is equal
9x + 12 = 2x + 30
9x - 2x = 30 - 12
7x = 18
x = 2.57
Answer:
f(x)=3x−1
2
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain:
(−∞,∞),{x|∈R}
Range:
(−∞,∞),{y|y∈R}
Answer:
5 is the correct answer
Step-by-step explanation: