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Fed [463]
3 years ago
9

Show that the equation x cubed + 8x = 30 has a solution between x = 2.2 and x =2.3 ?

Mathematics
1 answer:
tatuchka [14]3 years ago
4 0
x^3+8x=30\\
x^3+8x-30=0\\\\
2.2^3+8\cdot2.2-30=10.648+17.6-30=-1.752\\
2.3^3+8\cdot2.3-30=12.167+18.4-30=0.567


For x=2.2 the value of x^3+8x-30 is negative, and for x=2.3 the value is positive which means between x=2.2 and x=2.3 there is an x for which the value of x^3+8x-30 is equal to 0 and therefore there is a solution.
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s344n2d4d5 [400]

          \rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

        <em>What is the number sentence for "1 less than n is the sum of z and 2?"</em>

<em> </em>

<em>          </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

  ❖ First, Notice it says "1 less than n". This expression indicates that

        we subtract 1 from n, which  looks as follows:-

                                                     \Large\textit{n-1}

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

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❖ Now, Combine these two little expressions into one equation:-

\implies\sf{n-1=z+2}

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6 0
1 year ago
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be c
I am Lyosha [343]

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

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costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

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If the problem just wants plain, slope intercept form, then this is your answer.

If not, y = 8

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Answer:

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