Answer:
Step-by-step explanation:
Flat rate is the y- intercept b = 11.2
Charge per mile is the slope m = 3.1
<u>The equation is:</u>
It will equal 1/3 4/12= 1/3 1/3 is the answer
The standard form of the parabola is x = -4/3y² -40/3y -103/3
What is parabola?
A parabola is an approximately U-shaped, mirror-symmetrical planar curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point and a line.
x = -4/3(y +5)² -1
Solve for x.
x = (4y² +40y +103)/(-3)
x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US
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Taking our clues from the graph*, we can write the vertex form equation as ...
x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places
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* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...
x = a(y -(-5))² +(-1) = a(y +5)² -1
The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.
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This how you set the equation up.
2x + 6 = 3x + 7
Subtract 6 from both sides.
2x = 3x + 1
Subtract 3x from both sides.
-1x = 1
Divide.
x = -1.
Now solve for y by plugging in the variable.
y = 2(-1) + 6
y = -2 + 6
y = 4
So your solution is (-1,4).
I hope this helps love! :)
Answer:
28.) c.
29.) a and c.
30.) a.
y=3x/5 +18/5
b.
(-6, 0)
31.) y=x-4
Step-by-step explanation:
28.)
pounds is equal to the y value of a graph, while months is equal to the x value of the graph. slope is equal to y/x. Therefore, it is the slope.
29.) rearrange the equation to isolate the y value and then divide every equation by 2. you will then get y=4x+8. When you plug each of the points in, you will notice only a and c are true.
30.) a.
The line equation is: y=mx+b. First find the slope. You can do that with subtracting y values over dividing x values. You should get: 3-6/-1-4=3/5.
With this slope, plug in one of the points for the x and y values, and solve for b. I used the point (-1, 3) and got b=18/5
b.
For this, I found that 0= 3(-6)/5+18/5
31.) Find the slope by subtracting the y values over subtracting the x values. This should give you a slope of 1. After you find the slope, plug in your slope as m in the line equation: y=mx+b. Next, find a point in that plot and plug those in to find the y intercept (b). I chose (-2, -6) and (2, -2) and got a slope of -4. However, you can also see that when x=0, y=-4, so that could also be a nice shortcut.
Hope this helps!
