By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.
<h3>How to make a piecewise function continuous</h3>
According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:
2 · x = c · x² + d, for x = 1 (1)
4 · x³ = c · x² + d, for x = 2 (2)
Then, we have the following system of linear equations:
c + d = 2 (1b)
4 · c + d = 32 (2b)
The solution to this system of linear equations is c = 10 and d = -8.
To learn more on piecewise functions: brainly.com/question/12561612
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Im pretty sure it’s A because a squares area is base x height which would be 13x13= 169 then add the area of the triangle which would be 53.3, so 169+53.3 = 222.3
Answer:
dd
Step-by-step explanation:
Remember, if you add negative four, you're really subtracting four, or if you take away negative four, you're really adding four.
-n+(-4)-(-4n)+6
-n-4+4n+6 simplify
{-n+4n are like terms, so combine them. -n+4n is exactly the same as 4n-n, so flip them around if it helps. Just remember to keep the sign with the right number. Same thing with -4+6.}
Answer:
3n+2
Answer:
The 12 pack has a better value.
Step-by-step explanation:
1. create a ratio table.
you want to know how much the 4 pack would cost if it was a 12 pack.
you can see the ratio table in the picture above.
As you can see, when the 4 pack equals $7.68, making it a 12 pack will equal $23.04.
<em>Then</em><em>,</em><em> </em><em>compare</em><em> </em><em>2</em><em>3</em><em>.</em><em>0</em><em>4</em><em> </em><em>to</em><em> </em><em>2</em><em>2</em><em>.</em><em>3</em><em>2</em><em>.</em><em> </em>
<u>In</u><u> </u><u>conclusion</u><u>,</u><u> </u><u>the</u><u> </u><u>1</u><u>2</u><u> </u><u>pack</u><u> </u><u>has</u><u> </u><u>a</u><u> </u><u>better</u><u> </u><u>value</u><u>.</u>
