Answer:
6
Step-by-step explanation:
expand
x-7= 1/4x-10/4
3/4x=18/4
multiply 4 on both sides to get rid of the denominator
3x=18
x=6
check work by substituting
6-7= 1/4(6-10)
-1= 1/4(-4)
-1=-1
they are equal, so it's correct
Answer: First find what 20 % of the 9.52 bill is which would be $1.90
Add $1.90 to the $9.52 = $11.42 (answer)
Step-by-step explanation:
We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.
<h3>
How to get the slope of the line that passes through the points (9, 1) and (10, - 1)?</h3>
A linear equation has the general form:
y = a*x + b
Where a is the slope of the line, and b is the y-intercept.
There is a simple equation to get the slope of a point if we know two points. For a line that passes through ( a, b) and (c, d), the equation for the slope is:
a = (d - b)/(c - a)
In this case we know that our line passes through (9, 1) and (10, -1), then using the above equation, we can see that the slope is:
a = (-1 - 1)/(10 - 9) = -2
We conclude that the slope of the linear equation that passes through the points (9, 1) and (10, -1) is -2.
If you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
(0, inf)
Step-by-step explanation:
The average rate of change of a function is related to it's first derivative. When the first derivative is positive, the average rate of change is positive, which means that the function is crescent.
Now, when the first derivative is negative, the average rate of change will be negative too, and the function is going to be decrescent.
In your function.
We have: f'(x) = 2x
2x > 0 when x > 0. So when x > 0 the average rate of change of your function is positive, and it's values increases as the time increases. When x < 0, the average rate of change is negative, so, as the time increases, the values of f decrease.
You can use a graphic tool to plot f and visualize this better.
The question is asking you to find the measure of YZ's arc.
The arc of a circle is found by finding the central angle. In this case, that's angle YCZ. Remember that a circle's total degrees is 360. Since the angle that you are trying to find is 16% of the circle, you need to find 16% of 360.
360*0.16 = 57.6
The measure of arc YZ is 57.6 degrees.
