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3 years ago

Write this polynomial in standard form :8x^2 - 4x^3 + 12 - 5x

Mathematics

1 answer:

rodikova [14]3 years ago

3 0

Hello from MrBillDoesMath

Answer: -4x^3 + 8x^2 -5x + 12

Discussion:

Standard for for a polynomial meas tne power of x descend so standard fro of

8x^2 - 4x^3 +12 -5x is

-4x^3 + 8x^2 -5x + 12

Note: the problem statements shows this ":8x^2". I didn't know how to deal with the ":" character so simply ignored it.

Thank you,

Mr. B

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Help please if anyone knows

larisa86 [58]

Part A
To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case, $\frac{3}{5}$ and $\frac{2}{3}$ equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about 3 gallons.

Part B
To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

$1 \frac{3}{5} \\ \\ (5*1)+3 =8 \\ \\ \frac{8}{5} \\ \\ \\ \\ 1 \frac{2}{3} \\ \\ (3*1)+2=5 \\ \\ \frac{5}{3} 
$

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.

Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

$\frac{8}{5} *3 = \frac{24}{15} \\ \\ \frac{5}{3} *5 = \frac{25}{15}$

Now, we can simply add our numerators.

$25+24=49$

We know that he needs $\frac{49}{15}$ gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

$\frac{49}{15} \\ \\ 49 / 15 = 3(Remainder: 4) \\ \\ 3\frac{4}{15}$

Using that logic, we can see that the painter needs exactly $3 \frac{4}{15}$ gallons of paint.

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3 years ago

Juarez Distribution Company conducted a time study of Martha Smith’s job as an installer. Using the observation chart, find her

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Average time on task 1 = $\frac{3.4+4.1+6.5+8.1}{4}=5.5$ seconds
Average time on task 2 = $\frac{3.5+4.3+6.8+8.3}{4}=5.7$ seconds
Average time on task 3 = $\frac{4.3+4.1+6.5+7.9}{4}=5.7$ seconds
Average time on task 4 = $\frac{2.9+4.6+6.6+7.1}{4} =5.3$ seconds
Average time on task 5 = $\frac{3.6+4.2+6.7+8.1}{4}=5.65$ seconds

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How does a digit in the ten thousands place compare to a digit in the thousands place?

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Um I think it's like because there's a zero difference like ten thousands have more zeros

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2 years ago

There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How

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im stupid. honestly. just help me pls. this is probably really easy but i aint done any maths in over a month so ion remember ho

KATRIN_1 [288]

Answer:

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Step-by-step explanation:

We know that mean is the sum of all the elements divided by the number of elements there are: m = t/n, where m is the mean, t is the total sum, and n is the number of elements.

Here, we are given the mean number of coins for all 27 + 18 = 45 children is 16, so m = 16 and n = 45. Then:

m = t/n

16 = t/45

t = 720

This t means that the total number of coins that all the boys and girls have is 720 coins.

Now, we also know the mean number of coins for the boys only, which is 14. Since there are 27 boys, then:

m = t/n

14 = t/27

t = 378

This t means the total number of coins all the boys have.

Subtracting 378 from 720, we get 342, which is the total number of coins the girls have. We also know there are 18 girls, so:

m = t/n

m = 342 / 18 = 19

Thus, the mean is 19 coins.

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