Solve the inequality. T/4 > 7
1 answer:
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Answer:
{-2/3, 2/3, 3}
Step-by-step explanation:
The equation can be factored by grouping.
f(x) = (9x^3 -27x^2) +(-4x +12)
f(x) = 9x^2(x -3) -4(x -3)
f(x) = (9x^2 -4)(x -3)
We recognize the first factor as the difference of squares, so know it can be further factored to give ...
f(x) = (3x -2)(3x +2)(x -3)
The zeros are the values of x that make these factors be zero:
3x -2 = 0 ⇒ x = 2/3
3x +2 = 0 ⇒ x = -2/3
x -3 = 0 ⇒ x = 3
The zeros of the polynomial are x = -2/3, 2/3, 3.
The <u>correct answer</u> is:
Matthew's rate is higher by $50 per month.
Explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:
Using the first two points, we have:
To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:
Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
Matthew's rate is higher by $50 per month.
Explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:
Using the first two points, we have:
To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:
Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.