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2 years ago

-3x° (2x7 - 4x + 1) multiply through polynomial

Mathematics

1 answer:

valina [46]2 years ago

7 0

Answer:

-6x⁷ + 12x − 3

Step-by-step explanation:

Method 1 :

$-3x^0\ (2x^7-4x+1)$

$= (-3x^0)\times 2x^7-(-3x^0)\times4x+(-3x^0)\times1$

$= (-3x^0)\times 2x^7+(3x^0)\times4x+(-3x^0)\times1$

$=-6x^{0+7}+12x^{0+1}-3x^0$

$=-6x^{7}+12x^{1}-3x^0$

$=-6x^{7}+12x-3$

Method 2 :

Note : x⁰ = 1

$-3x^0\ (2x^7-4x+1)$

$=-3\ (2x^7-4x+1)$

$=-3\times2x^7-(-3)\times4x+(-3)\times1$

$=-6x^7+12x-3$

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Two carpenters are building a fence after 5 minutes,one carpenter is finished 4/7 of the way an the other is finished 1/8 of the

torisob [31]

The first carpenter is 0.4464 of the way is ahead of the second carpenter

Solution:

Given, Two carpenters are building a fence

After 5 minutes, one carpenter is finished 4/7 of the way

Second carpenter finished 1/8 of the way

Now, let us find the work done by each carpenter

$\begin{array}{l}{\text { For } 1^{\text {st }} \text { carpenter }=\frac{4}{7}=0.5714 \text { approximately. }} \\\\ {\text { For } 2^{\text {nd }} \text { carpenter }=\frac{1}{8}=0.125}\end{array}$

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter

= 0.5714 – 0.125 = 0.4464

Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter

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3 years ago

Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the

STatiana [176]

480 pennies.

25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)

35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)

25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.

The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.

1200(100%) - 720(60%) = 480(40%).

Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.

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2 years ago

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Nimfa-mama [501]

Answer:

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Step-by-step explanation:

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2 years ago

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shepuryov [24]

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5 0

3 years ago

Read 2 more answers

Isabelle ordered 3 flower arrangements to send to her sisters. Each arrangement, weighs 6 2/3 pounds. What was the total weight

Liono4ka [1.6K]

Answer: 20 pounds.

Step-by-step explanation:

We know the weight of each flower arrangement (each one weighs 6 2/3 pounds) and the total number of flower arrangaments Isabelle ordered (3 flower arrangements).

To make the calculus easier, we can rewrite the mixed number 6 2/3 as a decimal number:

Divide the numerator 2 by the denominator 3 and add the result to the whole number 6:

$(6+0.666)lb=6.666lb$

If 1 arrangement weighs 6.666 pounds, the total weigth of 3 arrangements can be calculated by multiplying 6.666 pounds by 3:

$weight_{(total)}=(6.666lb)(3)\\weight_{(total)}=20lb$

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3 years ago