Answer: it will take 2 months.
Step-by-step explanation:
Let x represent the number of months it will take for the total cost for both companies to be equal.
Company A: $80 for a new phone and the monthly fee of $45 a month. This means that the total amount that Company A charges for x months would be
80 + 45x
Company B: she can keep her all sound and pay $85 a month. This means that the total amount that Company B charges for x months would be
85x
For the total cost for both companies to be equal, the number of months would be
80 + 45x = 85x
85x - 45x = 80
40x = 80
x = 80/40 = 2
Answer:
2nd graph (in the attached pics)
Step-by-step explanation:
Graphically, the <em>x-intercepts of the graph of a quadratic function are its zeroes. </em>
There can be
- no zeroes (where graph doesn't cut the x-axis at all),
- 1 zero (where graph touches the x-axis at one point only), and
- 2 zeros (where the graph cuts the x-axis at 2 points)
Looking at the figures, the 2nd graph has no real zeroes, <em>because the graph doesn't cut the x-axis at all!</em>
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So, the answer is the second graph.
6x - 4(x + 3)
6x -4x -12. Distribute
2x - 12. Combine like terms
Step-by-step explanation:
Step 1: Draw your trend line.
You begin by drawing your trend line. You want your trend line to follow your data. You want to have roughly half your data above the line and the other half below the line, like this:
trend line equation
Step 2: Locate two points on the line.
Your next step is to locate two points on the trend line. Look carefully at your trend line and look for two easy to figure out points on the line. Ideally, these are points where the trend line crosses a clearly identifiable location.
For the trend line that we just drew, we can see these two easily identifiable points.
trend line equation
We can easily identify these two points as (3, 3) and (12, 6).
Step 3: Plug these two points into the formula for slope.
The formula for slope is this one:
trend line equation
We can label our first point as (x1,y1), and our second point as (x2,y2). So our x1 is 3, our y1 is 3, our x2 is 12, and our y2 is 6. Plugging these values into the equation for slope and evaluating, we get this:
trend line equation
So our slope is 1/3.
Find the number of miles driven by subtracting the odometer readings:
74545 - 74233 = 312 miles driven.
Divide miles driven by gallons of gas used:
312 / 9 = 34.66 = 35 miles per gallon.
