Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
14.8...........
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No, the objects below the sea and above both have the absolute value of 20 ft.
The absolute value is how far the number is away from zero- it doesn't matter if it is in the positive or negative direction
For example, if you drove 20 miles from your house in one direction while your friends drove 20 miles in the other direction- both of the distances of you and your friend from the your house is 20 miles.
Distance is a great example of the absolute value because it is always positive. It doesn't matter what direction, it is always 20 miles from your house.
y = x + 2
y = -3x
Do y = -3x in y = x + 2
y = x + 2
-3x = x + 2
-3x - x = 2
-4x = 2
x = -2/4
x = -1/2
Now put x = -1/2 in y = -3x
y = -3x
y = -3.(-1/2)
y = 3/2
<span>This question, in my opinion, is not well stated. If f(x) = √x, as the question statement seems to say, then the domain is not x<7. Rather, the domain is x≥0.
If f(x) is not the square root function, but say f(x) = √(7-x) then the domain is x≤7, and for this function then the appropriate answer is d), since the x-term inside the radical has a negative coefficient.</span>
