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LenaWriter [7]
3 years ago
6

Divide the following polynomials, then place the answer in the proper location on the grid. Use synthetic division. Write the an

swer in descending powers of x. 5x 2 - 18x -27 ÷ x - 5
Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

                 8

5x + 7 + ----------

               x - 5

Step-by-step explanation:

Divide 5x 2 - 18x -27 by x - 5 using synthetic division.  Important:  Please use the symbol " ^ " to denote exponentiation.

Divide 5x^2 - 18x -27 by x - 5 using synthetic division.

Setting up synth. div., we choose the divisor to be 5.  That comes from (x-5)=0.  Then,


5   /    5    -18    -27

                 25    35

    ------------------------

         5        7       8

Because the remainder (8) is not zero, x-5 is not a factor of 5x^2 - 18x -27.

The "answer" is thus:

                 8

5x + 7 + ----------

               x - 5

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What is limit of startroot x squared minus 8 endroot as x approaches negative 3? –5 1 startroot 2 endroot startroot negative 14
DochEvi [55]

The limit of \lim_{x \to -3}\sqrt{ x^2-8} as x approaches negative 3 is 1

<h3>Limit of a function </h3>

The limit of the function given in question can also be written as:

\lim_{x \to -3}\sqrt{ x^2-8}

To determine the required limit, we will simply substitute the value of x into the function as shown:

\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{ (-3)^2-8}\\\lim_{x \to -3}\sqrt{ x^2-8}=\sqrt{9-8}=1\\

Hence the limit of \lim_{x \to -3}\sqrt{ x^2-8} as x approaches negative 3 is 1

Learn more on limit here: brainly.com/question/1444047
#SPJ4

3 0
2 years ago
Is it 90 IF NOT CAN SOMEONE TELL ME please
koban [17]

Answer:

<h2><u><em>90</em></u></h2>

Step-by-step explanation:

1000 + 500 = 1500mg (for 1 day)

1500 * 30 = 4500mg (1 month)

4500 : 500 = 90 tablets

5 0
3 years ago
A player in a game must roll a fair six-sided number cube and then flip a coin. What is the probability of a player rolling 4 an
expeople1 [14]

Answer:

Step-by-step explanation:

P(4) = 1/6

P(h) = 1/2

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7 0
3 years ago
There is 7 5/9 wood and people took 3 2/15 pieces. How many more pieces are there
GalinKa [24]
What you have to do is subtract 3 2/15 from 7 5/9. You can also use decimals but that doesn't work all the time since the are infinite numbers (you will see what I mean later on) So what you can do is find the improper fraction of each one, and subtract it from each other. It would be 68/9 - 47/15, which would give you a total of 4 19/45. YOU'RE WELCOME :)
5 0
3 years ago
$53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. how much is in the accou
ella [17]

Answer:

$57,369

Step-by-step explanation:

We have been given that an amount of $53,000 is placed in an investment account that grows at a fixed rate of 2% (compound growth) per year. We are asked to find the amount in the account after 4 years.

To solve our given problem we will use compound interest formula.\

A=P(1+\frac{r}{n})^{nt}, where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

Let us convert our given rate in decimal form.

2\%=\frac{2}{100}=0.02

Upon substituting our given values in compound interest formula we will get,

A=\$53,000(1+\frac{0.02}{1})^{1*4}

A=\$53,000(1+0.02)^{4}

A=\$53,000(1.02)^{4}

A=\$53,000*1.08243216

A=\$57368.90448\approx \$57,369

Therefore, an amount of $57,369 will be in the account after 4 years.

3 0
3 years ago
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