X^2 + 6x = -2 is a quadratic equation that can be solved by completing the square.
x^2 + 6x + (6/2)^2 - (6/2)^2 = -2
Rewriting this, (x+3)^2 = -2 + (6/2)^2 = -2 + 9 = 7
tAKING THE sqrt f both sides, we get x+3 = plus or minus 5.
Finally, x = -3 plus or minus 5, which boils down to x=2 and x= -8.
Answer:
No solution
Step-by-step explanation:
To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.
Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.
Answer:
5x?
Step-by-step explanation:
Because Zachary earns $5 per hour, and he makes a $20 bonus.
His equation is shown in red on the graph, y = 5x + 20.
Maisy earns $7.50 per hour, and she makes a $5 bonus.
Her equation is shown in blue on the graph, y = 7.50x +
5.
After how many hours do they earn the same amount of
money? Where do you see this on the graph? Share
your answer with the class when you are finished, then
read other people's responses.
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Answer:
h = 22 units
Step-by-step explanation:
area = 1/2bh
165 = 1/2(15)h
15h = 330
h = 22 units
