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Andrei [34K]
3 years ago
11

Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? Use either the remainder theorem or the factor theorem to explain your reasonin

g.
Mathematics
1 answer:
anastassius [24]3 years ago
3 0

We have f(2)=2^3-2^3+2^2+3=7\neq0, so by the remainder theorem x-2 is not a factor of f(x). (The remainder would have been 0 if it were a factor.)

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What is the equation of the line in the graph
iren [92.7K]

Always, ALWAYS remeber this format: y = mx + b

In this equation, 'm' is the slope, and 'b' is the y-intercept

When you're trying to find a slope, remember that the equation is \frac{rise}{run}

When finding the rise and run, look at two points that are on the graph AND on the line as well. Essentially, make sure the points you're using are integers.

In this, case, the rise is -3, and the run is 2. This means that the slope is  \frac{-3}{2}

Now we have the first part of our equation:

y = - \frac{3}{2} + b

But wait! How do we find b?

Sometimes you have to input x in order to find it, but only when you're not supplied with a graph. In this case, all you have to do is look!

The point of the line that is on the y-axis is called the y-intercept.

In this graph, the y-intercept is -1

Now we have our complete equation!

y = - \frac{3}{2} - 1

Good luck!

3 0
2 years ago
You are scheduling a new delivery route and you need to find out how long it will take a driver to complete the route. You start
Sergio039 [100]
The route will take four hours and fifteen minutes. If you start at 9:50 and count four hours, you'll get to 1:50, add ten to get to 2:00, then add 5 minutes to get to 2:05. Four hours plus ten minutes plus five minutes, 4:15.
4 0
3 years ago
Read 2 more answers
Write the equation in slope intercept form that has a slope of -3 and goes through the point
Usimov [2.4K]

Answer:

y=-3x+3

Step-by-step explanation:

your y in your points in the b in y=mx+b because it's the y intercept and then the slope is -3

4 0
3 years ago
if the corresponding sides of 2 quadrilaterals are propotional, then the 2 quadrilaterals must be similar
den301095 [7]

Answer:

False

Step-by-step explanation:

A square and a parallelogram could have proportional sides but the angles would not be the same

5 0
3 years ago
What is the slope of the line shown in the graph below?
Flauer [41]
Slope = (y2-y1)/(x2-x1)
The points: (2,0) and (0,3)
(3-0)/(0-2) = 3/-2 = -3/2
The solution is -3/2
4 0
2 years ago
Read 2 more answers
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