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aleksley [76]
3 years ago
7

Find the remainder when f(x) is divided by (x - k).

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0
Synthetic division:

3   |   3   11    2      -7      61
.    |         9   60   186    537
- - - - - - - - - - - - - - - - - - - -
.    |   3   20  62   179    598

which translates to

\dfrac{3x^4+11x^3+2x^2-7x+61}{x-3}=3x^3+20x^2+62x+179+\dfrac{598}{x-3}

i.e. you're left with a remainder of 598.
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The repeating decimal, 0.27..., is converted to the fraction 0.27..=3/x
marysya [2.9K]

Answer:

The value of x is 11.

Step-by-step explanation:

The given number is 0.27272727..., and it is converted to the fraction as

0.272727...=\frac{3}{x}                 ..... (1)

Multiply both sides by 100.

0.272727...\times 100=\frac{3}{x}\times 100

27.272727=\frac{300}{x}            .... (2)

Subtract equation (1) from equation (2),

27.272727-0.272727...=\frac{300}{x}-\frac{3}{x}

27=\frac{300-3}{x}

Multiply both sides by x.

27x=297

Divide both sides by 27.

x=\frac{297}{27}

x=11

Therefore the value of x is 11.

4 0
3 years ago
Read 2 more answers
How is heat included in the equation of an endothermic reaction? D. Heat is crossed out in the products of the equation. C. Heat
xxMikexx [17]

The correct answer for the given question is B. Heat is written as a reactant in the equation.

<h3>What is endothermic reaction?</h3>

An endothermic reaction is a reaction in which is reactants absorbs heat from the surrounding to give the product or heat supplied is the reactant.

Suppose if A and B are reactants that forms product C and D,

and H be the heat absorbed or supplies to the reactants.

Then for an endothermic reaction we can write-

A +  B + Heat ---> C + D

Since, Heat is absorbed at the reactant side then it is called as endothermic reaction.

Hence,the correct answer for the given question is B. Heat is written as a reactant in the equation.

More about endothermic reaction:

brainly.com/question/23184814

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4 0
2 years ago
When x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9
Alona [7]

Answer:

First i always use khan academy

Step-by-step explanation:

8 0
3 years ago
The linear function f is defined by f(x)= cx + d, where c and d are constants. If f(50) = 27,000 and f(100)= 38,000, what is the
yKpoI14uk [10]

Answer:

<h2>c = 220</h2>

Step-by-step explanation:

f(x) = cx + d

<u>For the first equation</u>

f(50) = 27,000

Substitute the value of x that's 50 into the expression

That's

50c + d = 27,000

<u>For the second equation</u>

f(100) = 38,000

Substitute the value of x that's 100 into the expression

We have

100c + d = 38,000

Subtract the first equation from the second one to eliminate d

That's

100c - 50c + d - d = 38,000 - 27,000

50c = 11,000

Divide both sides by 50

We have the final answer as

<h3>c = 220</h3>

Hope this helps you

5 0
3 years ago
explain how the number of text messages Dario sent and the cost form an arithmetic sequence. Then write an expression to find Da
Dovator [93]
For less than or equal to 250 text messages Dario pays $5.00. After that, for every additional text message he pays $0.15.It means that the number of additional text messages ( n = 1, 2, 3, ... ) and the cost: ( c1 = $5.15,  c2 = $5.30,  c3 = $5.45, ... ) form an arithmetic sequence.An expression for the bill Dario must pay if he sends more than 250 text messages is:C = 5.00 + n · 0.15For example, if he has 260 text messages: 260 - 250 = 10C (260) = 5.00 + 10 · 0.15 = 5.00 + 1.50 = $6.50  
8 0
3 years ago
Read 2 more answers
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