PLEASE HELP!!!!! WILL MARK BRAINLIEST!!!!
2 answers:
Answer:
No (please see below for reasoning).
Step-by-step explanation:
Hello there!
We are given the graph of a vertical parabola and we want to figure out if it's a function or not.
A function has ONE output for every input. In other words, if you put one thing into a function, you're only going to get ONE thing back out.
One analogy to think about this is a vending machine; if you press one code (the input), you're only going to get one snack (let's say, chips), and if you a specific code, the only possible snack for that code would be the chips (the output). In simpler terms, if you press 3D on a vending machine, you're only getting the chips. You're not getting the cookies and the chips. 3D can't correspond to both chips and cookies.
One way to figure out if an equation is a function if you're given the graph is to do the vertical line test, where you will draw a vertical line through the graph. If the line hits two or more points in the graph, that means the input has more than one output, which wouldn't be a function.
So draw a vertical line through the graph.
Please see the picture below for the visual representation. Notice how the blue line hits two points on the graph. This means it isn't a function, since it means that the input (the value of x) has more than one output (the y values on the graph). Remeber that, for a function, we only can have one output for every input.
Hope this helps!
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Answer:
The slope of the line given by the equation -3x=30-5y is .
Step-by-step explanation:
-3x=30-5y
Move the -3x to the right side of the equal sign and the -5y to the left.
5y=30+3x
By switching them to opposite sides, their sign changes from - to +.
Then, divide both sides by 5 in order to isolate the y.
You get:
<em>y= </em><em />
According to y=mx+b, mx refers to the slope.
In this case, the slope would be .
To find the rate of change, or slope, pick two points. The slope, is change in y coordinates over change in x coordinates.
.
In this case, the slope is
.
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b
Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.
Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1
In this case, the slope is
Remember that subtracting a negative number equals adding the number without the negative sign.
a-(-b) = a+b
Now for the y-intercept. The y-intercept is where the graph intersects the y-axis, where x = 0.
You have the coordinate (0, -1), where x = 0. So the y-intercept is -1.
Putting these values into the slope-intercept form y = mx+b, the equation is
y = -5x - 1
Answer:
Step-by-step explanation:
AC is the geometric mean. Solve it using this proportion:
Now fill in the values we know:
Cross multiply to get
That means that
AC = , which, in decimal form is
AC = 11.40175425