We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
Answers:
Domain = [-3, 3]
Range = [-1, 2]
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Explanation:
The domain is the set of all allowed x inputs. Visually, the left-most point is when x = -3, so -3 is the smallest allowed x input. We have a closed circle at this endpoint, so this endpoint x value is included. In contrast, if you had an open circle, then you would exclude the endpoint.
Similarly, we have a closed endpoint at the other side as well when x = 3. This is the largest allowed x value. The domain is the set of x values such that
meaning x is between -3 and 3, including both endpoints. This translates to the interval notation of [-3, 3]. The square brackets say "include the endpoint".
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The range is the set of possible y outputs of a function. The lowest the function goes is when y = -1, and the highest is when y = 2. We include both endpoints. The range as a compound inequality is
which converts to the interval notation of [-1, 2]
Answer:
2 < x
Step-by-step explanation:
7-2(x + 2) <-4 - 3(1 - x)
Distribute
7 - 2x-4 < -4 -3 +3x
Combine like terms
3 -2x < -7+3x
Add 2x to each side
3 -2x+2x< -7+3x+2x
3 < -7+5x
Add 7 to each side
3+7 < -7+7+5x
10 < 5x
Divide each side by 5
10/ 5 < 5x/5
2 < x
Point F and point D are your answers.
Answer: here it is graphed and it cant be solved because there are no solutions as seen on the graph!
Step-by-step explanation: hope i helped please mark brainliest!