The translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
<h3>How to translate the mathematical statement?</h3>
The mathematical statement is given as:
six decreased by 9 times a number is -39
9 times a number means
9 * x (assume x is the number)
So, we have:
six decreased by 9 times a number is -39 ⇒ six decreased by 9x is -39
Decreased by means we subtract 6 from 9x.
So, we have:
six decreased by 9 times a number is -39 ⇒ 9x - 6 = -39
Hence, the translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
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Answer:
Step-by-step explanation:
Answer:
The domain is the number of gallons and the range is the distance traveled.
Since the car can travel 30 miles one gallon of gas, we multiply by 12 to get the distance the car can travel in 12 gallons of gas.
To do these, start by looking at the "b" value -6.
divide it by 2
-6/2 = -3
now square this number
(-3)^2 = 9
this is what you need for the "c" value
there is only a 5 for the c value so add 4 to both sides of the equation. ( +4 = +4)
y +4 = x^2 -6x +5 +4
y +4 = x^2 -6x +9
y +4 = (x -3)^2
y = (x -3)^2 - 4
vertex ( 3, -4) upwards facing like a bowl, because the "a" value is positive. So the vertex is the minimum, lowest point on the graph.