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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Answer: x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parantheses to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides 6.
6x-18
6x/6-18/6
x=-2
The final answer is x=-2
Hope this helps!
Answer:
no it cannot be
Step-by-step explanation:
because :
2/10 equals to 10/2 So 6/10 ÷ 2/10 =6/10×10/2
<u>6×10</u><u>=</u><u>6</u><u>0</u>
<u>1</u><u>0</u><u>×</u><u>2</u><u>=</u><u>2</u><u>0</u> after reducing the fraction its 3/1
Answer:
She'll receive $6.53.
Step-by-step explanation:
First add everything she purcahsed.
1.22 + 1.48 + 7.98 + 2.79 = 13.47
Then subtract that from how much she paid.
20 - 13.47 = 6.53
So 6 dollars and 53 cents.
0.714 good luck:) also all you have to do is just divide that in the calc and you should get the same answer:)
