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3 years ago

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Find the remainder when 51^203 is divided by 7 (using remainder theorem).

1 answer:

aleksandr82 [10.1K]3 years ago

6 0

Remainder Theorem is an application of Euclidean Division of polynomials and states that the remainder of the division of a polynomial f(x) by a linear polynomial x-1 is equal to f(a) so based on your question the answer would be the remainder is 4.

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A theater can seat 725 people. The number of rows is 4 less than the number of seats in each row. How many rows of seats are the

OverLord2011 [107]

725 is equal to (number of rows)*(number of seats per row)
r = s-4
725 = (s-4)s
s^2-4s-725 = 0
Factoring: (s-29)(s+25) = 0
Thus there are 29 seats per row, and 25 rows.

5 0

3 years ago

On a 4-hour bike ride. Talal averaged 5.75 miles per hour. Write an equation and find the total distance.

alexgriva [62]

Answer:

23 miles.

Step-by-step explanation:

Using the given, 4 and 5.75, we can create an equation.

To create a valid equation, we must multiply 4 and 5.75 to find the total distance.

4(5.75) = T

T = the total distance of the bike ride.

<u>Solve</u><u>:</u>

4(5.75) = 23.

Your solution is 23 miles, the total distance of the bike ride.

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3 years ago

What value for c will make the expression a perfect square trinomial? x2 – 7x + c

ANEK [815]

Answer:

Final answer is $\frac{49}{4}$ .

Step-by-step explanation:

Given expression is $x^2-7x+c$ .

Now we need to find about what value for c will make the given expression $x^2-7x+c$ , a perfect square trinominal.

Coefficient of middle term that contains x, in $x^2-7x+c$ -7.

Take half of that so we get $-\frac{7}{2}$ .

Then take square of the half value.

We get $\left(-\frac{7}{2}\right)^2=\frac{49}{4}$ .

We add the square value to make perfect square trinomial.

Hence final answer is $\frac{49}{4}$ .

7 0

3 years ago

Read 2 more answers

Find the 120th term of the following sequence <br> 7, 14, 21, ...<br> a120 =

dlinn [17]

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

$a_{120}$ = 7 + (119 × 7 ) = 7 + 833 = 840

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3 years ago

-An internatinal call costs $9.35 for 32 minutes. What is the cost per minute?

matrenka [14]

The cost per minute is $0.29

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3 years ago