Using the continuity concept, since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
<h3>What is the continuity concept?</h3>
A function f(x) is continuous at x = a if it is defined at x = a, and:
The definition of the piecewise function is given by:
Since the definition of the function changes at x = 2, and the domain of the function has no restrictions, this is the only point in which there may be a discontinuity.
The lateral limits are:
.
.
The numeric value is:
f(2) = 1.5 x 2 = 3.
Since the lateral limits and the numeric value of the function are equal at the point in which the definition changes, the function is continuous.
More can be learned about the continuity concept at brainly.com/question/24637240
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Two fractions are said to be equivalent if both the numerator and the numerator of one fraction can be obtained by multiplying or dividing the numerat.or and denominator of the other fraction by a single factor.
Dividing the numerator and denominator of 240/300 by 5 gives 48/60
Dividing the numerator and denominator of 240/300 by 60 gives 4/5
Dividing the numerator and denominator of 240/300 by 10 gives 24/30
Whereas dividing 300 by 2 gives 150 dividing 240 by 2 will not give 122. so 122/150 is not equivalent to 240/300.
Hey There!
The answer you are looking for is; $6.24!
Work:
You simply add $3.75 + $2.49 together.
Since .75 + .29 = 1.24, you carry the one over to the full dollar.
3 + 2 + 1 = 6.
= 6.24
Hope I helped! 5 stars and brainliest are always appreciated.
Your answer would be the last option, c = √(E/m).
We can see this when we rearrange the equation, as:
E = mc²
÷ m
E/m = c²
√
√(E/m) = c
So you got all the steps in rearranging correct :)
I hope this helps!
Answer:
The answer in slope-intercept form is y = 3x - 2.
