1. An AMTRAK train travels at 125 mph. Convert this into miles per minute.

1 answer:

6 0

1) 125mph
miles per minute
= 125/60
= 25/12
= 2.083 miles per minute

2) 10mph
miles per second
= 10/60/60
= 1/360 feet per second

3) 2 megabytes per second
= 2*60*60
= 7200 megabytes per hour

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What is the remainder of f(x)=x^4-2x^3-27x^2-9x+18 when divided by binomial x+4

givi [52]

Answer:

The remainder will be 6.

Step-by-step explanation:

We have the function:

$f(x)=x^4-2x^3-27x^2-9x+18$

And we want to find the remainder after it is divided by the binomial:

$x+4$

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Here, our divisor is (x + 4). We can rewrite this as (x - (-4)).

Therefore, a = -4.

Then according to the PRT, the remainder will be:

$f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6$

The remainder will be 6.

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2 years ago

Demetrius deposits $120 iinto his account. One week later he withdraws $36. Write an addition sentence to represent this situati

Zolol [24]

Answer:

Demetrius's account is $84 higher after the two transactions

Step-by-step explanation:

Let

x -----> original amount in Demetrius's account

y ----> amount in Demetrius's account after the deposit and the withdraws

we know that

The amount in Demetrius's account after the two transactions must be equal to the original amount in Demetrius's account plus the deposit minus the withdraws

$y=x+120-36$