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3 years ago

Find the remainder of (h4 + h2 – 2) ÷ (h + 3).

1 answer:

5 0

We can solve the problem by two methods: Synthetic division and long division.

Synthetic division:
-3 | 1 0 1 0 -2
-3 9 -30 90
---------------------------
1 -3 10 -30 88
The remainder is 88.

By long division:
h^3 -3h^2 + 10h -30
---------------------------------------
x + 3 | h^4 + 0h^3 + h^2 + 0h -2
h^4 + 3h^3
----------------
-3h^3 + h^2 + 0h -2
-3h^3 -9h^2
-------------------------------
10h^2 + 0h -2
10h^2 +30h
-----------------------
-30h - 2
-30h -90
--------------
88
The remainder is 88

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Read the following passage and answer the question.

olga2289 [7]

Answer:

The Correct answer is:

A. You aren’t telling me anything I don’t already know.

Step-by-step explanation:

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2 years ago

Suppose that during one period extreme cold,the average daily temperature decreased 1 1/2 F each day. How many days did it take

Alenkasestr [34]

We have been given that during one period extreme cold, the average daily temperature decreased $1\frac{1}{2}$ degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.

First of all we will convert our mixed fraction into improper fraction.

$1\frac{1}{2}=\frac{3}{2}$

Now we will divide total temperature change (9) by average daily temperature change ( $\frac{3}{2}$ ) to find number of days.

$9\div\frac{3}{2}$

Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.

$9\cdot\frac{2}{3}$

$3\cdot2=6$

Therefore, it will take 6 days for the temperature to decrease by 9 degree F.

7 0

2 years ago

Write each fraction as the sum of a whole number and a fraction less than 1

Tpy6a [65]

Given:

The fractions are:

$\dfrac{6}{5},\dfrac{11}{7},\dfrac{21}{4}$

To find:

The each fraction as the sum of a whole number and a fraction less than 1.

Solution:

The given fraction is $\dfrac{6}{5}$ .

$\dfrac{6}{5}=\dfrac{5+1}{5}$

$\dfrac{6}{5}=\dfrac{5}{5}+\dfrac{1}{5}$

$\dfrac{6}{5}=1+\dfrac{1}{5}$

Therefore, the given fraction $\dfrac{6}{5}$ can be written as $1+\dfrac{1}{5}$ .

The given fraction is $\dfrac{11}{7}$ .

$\dfrac{11}{7}=\dfrac{7+4}{7}$

$\dfrac{11}{7}=\dfrac{7}{7}+\dfrac{4}{7}$

$\dfrac{11}{7}=1+\dfrac{4}{7}$

Therefore, the given fraction $\dfrac{11}{7}$ can be written as $1+\dfrac{4}{7}$ .

The given fraction is $\dfrac{21}{4}$ .

$\dfrac{21}{4}=\dfrac{20+1}{4}$

$\dfrac{21}{4}=\dfrac{20}{4}+\dfrac{1}{4}$

$\dfrac{21}{4}=5+\dfrac{1}{4}$

Therefore, the given fraction $\dfrac{21}{4}$ can be written as $5+\dfrac{1}{4}$ .

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2 years ago

The 7 in 72 represents how many times the value of the 7 in 78

Stella [2.4K]

Answer:

Step-by-step explanation:

Knowing what place values are, we know that since both of those numbers have the 7 in the tens place, it represents 70. So both of those number are 70 plus another number (under 10)

5 0

2 years ago

Of 3/1=6/2 then 3-1/1=

Oksi-84 [34.3K]

I'm not sure what you want with the first part (3/1=6/2)

well PEMDAS or parenthasees exponents, mult or division whichever comes first, addition subtraction, whichever comes first so

3-1/1 would be divison first
1/1=1
3-1=2

5 0

2 years ago