Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
Answer:
Second table.
Step-by-step explanation:
A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.
The additive rate of change is determined using the slope formula,
From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.
For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.
The additive rate of change of this table is
Therefore the second table has an additive rate of change of 3.
Answer:
Step-by-step explanation:
1. You have the following information given in the problem:
- The distance to the nearest exit door is no more than 150 feet.
- represents the distance to the nearest exit door, in feet.
2. Therefore, keeping the information above on mind, you know that the distance to the nearest exit door () must be less than or equal to 150 feet, then, you can express this as following:
The equation you would write would be:
2x+34=187<span />