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3 years ago

F(x)= 2x^3 + 5x^2 -x -6 is divided by x+1

Mathematics

1 answer:

eimsori [14]3 years ago

8 0

Step-by-step explanation:

substitute x= -1 into the equation to get the remainder

remainder= -2

the remainder is not a fraction

no, it is not a factor since its remainder is not zero

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Tom found some foreign coins in a box. The coins were marked m,a,t,h his uncle told him that each letter on the coin has a diffe

aleksandr82 [10.1K]

Answer:

He will receive $515 for the 17 coins

Step-by-step explanation:

In this question, we are asked to calculate how much will be received for 17 coins , with each coin having a specific value in the US currency.

Obviously, there are four coins, so let’s proceed to get the amount he gets per type of coins.

For the m coin, she has 3 pieces. One m coin has a value of $10, then the amount of coins she makes on the m coins will be 3 * 10 = $30

For the a coin, he has 7 pieces. One m coin has a value of $5, then the amount of coins she makes on the a coins will be 7 * 5 = $35

For the t coin, he has 5 pieces. One t coin has a value of $50, then the amount of coins she makes on the t coins will be 5 * 50= $250

For the h coin, she has 2 pieces. One h coin has a value of $100, then the amount of coins she makes on the h coins will be 2* 100 = $200

The total amount made on the 17 coins would thus be mathematically equal to;

Amount made on m coins + Amount made on a coins + Amount made on t coins + Amount made on h coins

The total amount = $30 + $35 + $250 + $200 = $515

6 0

4 years ago

Read 2 more answers

One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 812,

kobusy [5.1K]

Answer:

first number = 89
second number = 534
third number = 189

Step-by-step explanation:

Let the first number be x

Given second number is 6 times a first number.

If first number is x then second number is 6*x = 6x

Given third number is 100 more than the first number

If first number is x then third number is x+100 = x+100

Sum of these three numbers in terms of x

sum = x+ 6x+x+100 = 8x+100 __________1

Given, that sum of these numbers is 812.

equating 812 with equation 1 we have,

8x+100 = 812

=> 8x = 812- 100

=> 8x = 712

=> x = 712/8 = 89.

Therefore,

first number = x = 89

second number = 6x = 89*6= 534

third number = x+100 = 89+100 = 189

7 0

4 years ago

Just need help with 2 and 4 :)

vesna_86 [32]

2.)

0 = 6x + 3y +9
-3y = 6x + 3y - 3y +9

$\frac{ - 3y}{ - 3} = \frac{6x + 9}{ - 3} \\ \\ y = - 2x - 3$
By isolating y we now have the equation in slope intercept form:
$y = mx + b$

Where m = slope and b = y- intercept. Therefore, the slope is -2 and the y - intercept is -3.

4.)

Similarly, #4 is already in slope intercept form so we can solve it by inspection. So for #4 the slope is -1 and the y - intercept is 2.

7 0

3 years ago

What is the quotient and what is the remainder?

Bas_tet [7]

Answer:

quotient is 18 and remainder is 7

6 0

3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

zubka84 [21]

Answer:

A) (3,14)

Step-by-step explanation:

6x - 4 =7x - 7

subtract 6x from both sides

-4 = x -7

add 7 to both sides

3= x

now that we know the value of x, plug it into either equation to get y=14

6 0

3 years ago

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