Simplify the quotient Evaluate the function and show work please. f (x) = 4 • 7x for x =-1 and x = 2.

1 answer:

8 0

Abdul used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:

Number on
the CubeNumber of
Times Rolled11821031242553632

HeadsTails4555

Using Abdul's simulation, what is the probability of rolling a 2 on the number cube and the coin landing heads up?

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Which function best fits the following points?

Goryan [66]

Given:

The graph of a scatter plot.

To find:

The function that best fits the given points.

Solution:

From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.

So, options B and C are incorrect because they represent exponential and quadratic function respectively.

Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).

Using this two points, the equation of line is:

$y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)$

$y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)$

$y+12.82=0.025(x-0.80)$

$y+12.82=0.025x-0.02$

$y=0.025x-0.02-12.82$

$y=0.025x-12.84$

$y=-12.84+0.025x$

It is the approximate function to the function that is in option A.

Therefore, the correct option is A.

5 0

3 years ago

How do graphs and equations reveal information about a relationship between two quantities

fiasKO [112]

Graph and equation both shows the proportional comparison between two quantities

for example, equation y = 4x, this means, the value of 'y' will always be 4 times the value of 'x'

More complex equation such as y = 3x + 5, means that the value of 'y' equals to 5 more triples of value of 'x'

Another example is the conversion graph attached below, it shows the relationship between kilometers and miles. For example, we want to find out how many miles are in 10 kilometers, we would draw a line from the point that shows 10 km towards the graph, then across from the graph to miles, and we'd get a reading of 12 miles.