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pantera1 [17]
3 years ago
14

How many times does the graph of the function below intersect touch the x-axis? y= -3x^2 + x + 4

Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

2 times

Step-by-step explanation:

Well let's first graph the quadratic equation,

Look at the image below ↓

By looking at the image below we can tell that the graph touches the x axis 2 times at,

<u>(-1,0)</u>

<u>(1 1/3,0)</u>

<em />

<em>Thus,</em>

<em>the parabola touches the x axis twice.</em>

<em />

<em>Hope this helps :)</em>

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The unit price is tantamount to saying the price of each. For this item, we are asked to determine the price of each can. Thus, it can be determined by dividing the price to number of cans.
                           $5.25 / 5 = 1.05
Thus, each can of tomato sauce costs $1.05. 
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Complete the square to re-write the quadratic function in vertex form:<br> y = x2 + 4x – 9
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Answer: − 2 ± √ 13

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(-b±√(b²-4ac))/(2a)

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Sam is observing the velocity of a car at different times. After three hours, the velocity of the car is 51 km/h. After five hou
bija089 [108]
It's not obvious here, but you're being asked to find a linear equation for the velocity of the car, given two points on the line that represents this velocity.

Find the slope of the line segment that connects the points (3 hr, 51 km/hr) and (5 hr, 59 km/hr).  Graph this line.  Where does this line intersect the y-axis?  Find the y-value; it's your "y-intercept," b.

Now write the equation:  velocity = (slope of line)*t + b

The units of measurement of "slope of line" must be "km per hour squared," and those of the "y-intercept" must be "km per hour."

Part B:  Start with the y-intercept (calculated above).  Plot it on the vertical axis of your graph.  Now label the horizontal axis in hours:  {0, 1, 2, 3, 4, 5, 6}.  Draw a vertical line through t=6 hours.  It will intercept both the horiz. axis and the sloping line representing the velocity as a function of time.  Show only the part of the graph that extends from t=0 hours to t=6 hours.

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Marcus has X songs downloaded to his phone he downloads 20 more songs to his phone enter an expression in the Box to represent t
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6 0
3 years ago
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The results of the car race are shown below.Explain how to determine who drove the fastest.
gizmo_the_mogwai [7]

<u><em>Answer:</em></u>

Evans was the fastest


<u><em>Explanation:</em></u>

<u>The relation between velocity, time and distance is as follows:</u>

velocity = \frac{distance}{time}


<u>1- For Cutwright:</u>

We have the time = 84 minutes and the distance = 35 laps

<u>This means that:</u>

velocity = \frac{35}{84} = 0.61667 lap/minute


<u>2- For Evans:</u>

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<u>This means that:</u>

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