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2 years ago

Using synthetic division, find (x^4 − 2) ÷ (x + 1).

1 answer:

6 0

-1 | 1 ... 0 ... 0 ... 0 ... -2
... | ...... -1 .. 1 ... -1 ... 1
-------------------------------
... | 1 ... -1 .. 1 ... -1 | -1

In other words,

$\dfrac{x^4-2}{x+1}=x^3-x^2+x-1-\dfrac1{x+1}$

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I'm not sure but I'm gonna guess that the answer is 50?

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For the first part of the obstacle course, Helena needs to sprint as fast as she can to Checkpoint A, which is 5 units north of

andrew11 [14]

Answer:

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1 year ago

the quadratic function h (t)=-16t^2+150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 sto

natulia [17]

Hello! Lets solve this :)
So for the first question :
h(t) = -16t^2 + 150
h(0)= -16 (0)^2 + 150
h(0)= -16(0) + 150
h(0)= 0 + 150
h(0)= 150 feet

Second question
We need to find here the time when the ball hit the ground; or when the height h(t) is 0.
In equation form
h(t) --> 0=16t^2 + 150
16t^2 = 150
t^2=150/16
t= <span>√150/16
t= 5</span><span>√6/4
t= 5 (2.45)/4
t= 3.06 seconds
</span>
Hope this helps! If you have any other questions or would like further explanation just let me know! :)

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3 years ago

A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were

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N is equal to = 20 which means there were 20 trials. Based on the results, the number of times that the results showed that 1 out of 3 students ride a car going to school, there is 55% probability or 0.55. There are 11 trials out of 20 trials that have exactly 1 student that rides a car going to school.

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2 years ago

Read 2 more answers

PLEASE HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!! 3) This problem is called the Collatz Conjecture and is an unproven statement in ma

Aneli [31]

The set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>How to generate the numbers in the Collatz Conjecture</h3>

To start with, we make use of the following starting point:

Starting point = 1

The rule is given as:

If the last number is odd, multiply it by 3 and add 1.
If the last number is even, divide the number by 2.

1 is an odd number.

So, we use the first rule

So, we have:

1 * 3 + 1 = 4

4 is an even number.

So, we use the second rule

So, we have:

4/2 = 2

So, the first three numbers in the Collatz Conjecture are:

1, 4, 2

Using the given rules, we have:

1, 4, 2, 1, 4, 2, 1, 4, 2....

The above means that there is only one set of repeating numbers in the Collatz Conjecture.

Hence, the set of numbers in the Collatz Conjecture are 1, 4, 2, 1, 4, 2, 1, 4, 2....

<h3>Fibonacci sequence</h3>

The first and the second numbers are given as:

First = 2

Second = 5

The current term of a Fibonacci sequence is the sum of the previous two terms.

Using the above rule, the first 10 terms are:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

<h3>The sum of the first 10 terms of the new sequence</h3>

We have:

2, 5, 7, 12, 19, 31, 50, 81, 131, 212

Add the terms

Sum = 2+ 5+ 7+ 12+ 19+31+50+81+131+212

Evaluate

Sum = 550

Hence, the sum of the first 10 terms of the new sequence is 550