Ask question

Ask question

All categories

3 years ago

12

Nick and his family traveled by train to New York City. The clocks show when the train left the station and when it arrived in N

ew York City. How long was the train ride?

1 answer:

kirill [66]3 years ago

5 0

Answer:

Answer: 4 hr 15 min is the right answer

You might be interested in

Please help me thank you

Digiron [165]

the answer should be "Y less than or equal to 4" if I'm correct

4 0

2 years ago

Please write an addition statement that is equivalent to 20 - 4 = 16

LekaFEV [45]

Answer: 20 - 16 = 4?

Step-by-step explanation:

6 0

3 years ago

Find all the zeros of the polynomial function P(x) x^4-4x^3 -5x^2+38x- 30

worty [1.4K]

Answer:

The zeros of the polynomial function are 1, -3, 3+i and 3-i.

Step-by-step explanation:

The given function is

$P(x)=x^4-4x^3-5x^2+38x-30$

We can find a zero of the given function by hit and trial method.

Substitute x=1 in the given function.

$P(1)=(1)^4-4(1)^3-5(1)^2+38(1)-30$

$P(1)=0$

The value of function is 0 at x=1 it means (x-1) is a factor of given function.

Substitute x=-3 in the given function.

$P(-3)=(-3)^4-4(-3)^3-5(-3)^2+38(-3)-30$

$P(-3)=0$

The value of function is 0 at x=-3 it means (x+3) is a factor of given function.

$(x-1)(x+3)=x^2 + 2 x - 3$

Divide the given function by $x^2 + 2 x - 3$ , to get remaining factors.

$\frac{x^4-4x^3-5x^2+38x-30}{x^2 + 2 x - 3}=x^2 - 6 x + 10$

So, the factor form of given function is

$P(x)=(x - 1) (x + 3) (x^2 - 6 x + 10)$

Quadratic formula: If a quadratic equation is $ax^2+bx+c=0$ , then

$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Using quadratic formula find the zeroes of $x^2 - 6 x + 10$ .

$x=\frac{-(-6)\pm \sqrt{(-6)^2-4(1)(10)}}{2(1)}$

$x=\frac{6\pm \sqrt{-4}}{2}$

$x=\frac{6\pm 2i}{2}$ $[\because \sqrt{-1}=i]$

$x=3\pm i$

Therefore the zeros of the polynomial function are 1, -3, 3+i and 3-i.

3 0

3 years ago

The double number line shows that Kimimela

slega [8]

The completion of the table showing the different percentages of the days that Kimmimela and her foster brother fed the rabbits this year is as follows:

<h3>Rabbit Feeding Table:</h3>

Person Time (days) Percentage

Kimimela 350 95.9%

Foster Brother 15 4.1%

<h3>What is a percentage?</h3>

A percentage is a mathematical expression of a number or ratio as a fraction of 100.

A percentage is often denoted with the percent sign, "%."

Most importantly, a percentage shows the relative value of a variable out of the hundredth parts of the class.

For instance, this question showed that Kimimela fed her rabbits 350 out of 365 days of this year. This implies that her foster brother fed the rabbits for 15 days (365 - 350).

<h3>Data and Calculations:</h3>

Person Time (days) Percentage

Kimimela 350 95.9% (350/365 x 100)

Foster Brother 15 4.1% (15/365 x 100)

Total 365 100%

Thus, we can conclude that Kimimela fed the rabbits <u>96%</u> of the days.

Learn more about percentages at brainly.com/question/24877689

#SPJ1

8 0

2 years ago

Which statement is true?

mario62 [17]

Answer:

b

Step-by-step explanation:

4 0

4 years ago