Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
Answer:no
Step-by-step explanation:put the two numbers in the same denominator
The least common denominator of 8 and 12 is 24. So to get 8 to 24 you multiply it by 3. So 3(3/8) is 9/24.
To get 12 to 24 you multiply it by 2. So 2(7/12) is 14/24. 9/24 is less than 14/24.
Answer:
-12
Step-by-step explanation:
-9-9-(-6)
-9-9+6
-18+6
-12
Therefore, the answer is -12
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Let x = smallest number
y = middle number
z = largest number
Equations:
sum of 3 numbers: x + y + z = 15
two times smallest is 1 less than largest: 2x = z - 1
sum of largest and smallest is 10: z + x = 10
z + x = 10 can be solved for z ⇒ z = 10 - x
substitute into 2x = z - 1 ⇒ 2x = 10 - x - 1
3x = 9
x = 3 (divided both sides of equation by 3)
Since z + x = 10 ⇒ z + 3 = 10 ⇒ z = 7
Substitute values for x and z into x + y + z = 15 ⇒ 3 + y + 7 = 15
y + 10 = 15
y = 5
answer: 3, 5, 7
The answer is 6.
Hope This Helps.