Answer:
a=6, b=-12, and c=0
Step-by-step explanation:
The standard format for the quadratic formula is ax^2+bx+c (=0).
If we rearrange the numbers given to look like this formula, we will find the values of a, b, and c.
6x^2=12x We can move over the 12x to the other side.
6x^2-12x=0 There is no visible value of c, but since there is no term without a variable, c=0
6x^2-12x+0=0
So a=6, b=-12, and c=0
<h3>Answer: 10</h3>
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Work Shown:
First add up all the ages
9+13+9+10+10+9+10+10+11+9 = 100
Then divide that sum by 10, since there are 10 values we added up
100/10 = 10
The average age is 10 years old.
Call the unknown integer x translate 40% of that integer as 0.4x the rest is very straight forward: 0.4x > 9.6 divid both sides of the inequality by 0.4 to find that x > 24 The question specifically says greater (not greater than or equal to) so the correct answer is 25 witch is D
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....
Since you round the answer would be
2.1 miles per minute
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124
