Answer:
12 x 4 or 48
Step-by-step explanation:
Answer:
(a) yes
(b) no; see below
Step-by-step explanation:
(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.
(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)
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The quartic can be written as ...
k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers
The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have
kabcd = 3kabc = 6
kabc = 6/3 = 2
Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.
y - y₁ = m(x - x₁)
y - (-10) = -1⁴/₂₁(x - 6)
y + 10 = -1⁴/₂₁(x) + 1⁴/₂₁(6)
y + 10 = -1⁴/₂₁x + 7¹/₇
- 10 - 10
y = -1⁴/₂₁x - 3¹/₇
Answer:
x = d/ a + c / a - b
Step-by-step explanation:
a( x + b ) - c = d
add c on both sides
a( x + b) = d + c
ax + ab = d + c
subtract ab from both sides
ax = d + c - ab divide both sides by a
ax / a = d/ a + c/ a - ab / a
x = d/ a + c / a - b
Slope formula:
m = (y2-y1)/(x2-x1)
m = (13-19)/(-3-(-8))
m = (13-19)/(-3+8)
m = -6/5
The slope is therefore -6/5
