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timama [110]
3 years ago
11

The coefficient of the first term of a polynomial written in standard (descending order) form is called the ______ coefficient.

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Answer:

the coefficient of the first term of a polynomial written in standard form is called the <u><em>leading</em></u> coefficient.

<em>for example,</em>

in 6x^3 + 8x^2 + 6x, the first term is 6x^2 and the coefficient of this term is 6.

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Divide. Write in simplest form. 10 divided by 1 2/3 ?
adell [148]

Answer: 6

Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.

Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.

So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

Therefore, 10 ÷ 1 and 2/3 = 6.

8 0
3 years ago
Before a bag of flour can be sold, it must be 40 kilograms but can be within 0.5
Serjik [45]

Answer:

The minimum acceptable weight of the flour bag is 39.5 kg,

and its maximum acceptable weight is 40.5 kg

Step-by-step explanation:

Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:

|x-40|\leq 0.5

The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:

a) that the expression within the absolute value symbol is larger than or equal to zero, and b) that the expression is less than zero.

a) If x-40\geq 0 then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:

x-40\leq 0.5\\x\leq 0.5+40\\x\leq 40.5\,\,kg

which means that the weigh "x" of the flour bag should be smaller or equal than 40.5  kg

b) If x-40, then the absolute value of this is its opposite : -x+40, and the inequality becomes:

-x+40\leq 0.5\\40\leq 0.5+x\\40-0.5\leq x\\39.5\leq x

which means that the weight of the flour bag must be larger than or equal to 39.5 kg

So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg

6 0
3 years ago
The temperature in Greenland is -8.3°C. The temperature in Jamaica is 30°C. What is the difference between the temperatures in t
Fantom [35]

Answer:

The difference between the temperatures in the two countries is 38.3°C.

Step-by-step explanation:

Given:

Temperature in Greenland = - 8.3°C

Temperature in Jamaica = 30°C

To find :

The difference between the temperature in the two countries = ?

\textrm{difference between the temperature in the two countries} =\textrm{temperature in Jamaica} - \textrm{temperature in Greenland}\\= 30 - (-8.3)\\= 30 +8.3\\= 38.3\°C

Therefore,the difference between the temperatures in the two countries is 38.3°C

6 0
3 years ago
Sum of all natural numbers from100to300 which are divisible by 4and 5 is​
My name is Ann [436]

If x is a number that is both divisible by 4 and 5, then

\begin{cases}x\equiv0\pmod4\\x\equiv0\pmod5\end{cases}

4 and 5 are coprime, so we can use the Chinese remainder theorem to solve this system and find that x=20n is a solution to the system, where n is any integer. Simply put, any multiple of 20 fits the bill.

Now, there are 11 numbers between 100 and 300 that are divisible by 20 (100, 120, 140, and so on). We have 20n=100 when n=5, so the sum we want to compute is

\displaystyle\sum_{n=5}^{15}20n=\boxed{2200}

4 0
3 years ago
What is the remainder when 14,952 ÷ 41?
marshall27 [118]

Answer:

28

Step-by-step explanation:

3 0
3 years ago
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