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2 years ago

Find a degree 3 polynomial with leading coefficient of 4 and zeros -2, 1, and 5

Mathematics

1 answer:

Alex Ar [27]2 years ago

4 0

Answer:

4x^3-16x^2-28x+40

It will take a while to describe how i got this, but i checked the zeroes are ok.

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What is 2 5/6 +1 5/7

mylen [45]

Hi Cherise1cherhop lets break this equation down with these steps:

1) add the whole numbers first

2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication

3) make the denominators (bottom numbers) the same as the LCD (42)

4) simplify it, now the denominators are equal

5) join the denominators together

6) simplify it (3 + 65/42)

7) convert 65/42 to mixed fraction

8) now that we made it a mixed fraction, simplify it

Answer: 4 23/42

8 0

3 years ago

The population is decreasing at a rate of 5% per year. If the population is 28,400 today, what will the population be in 8 years

Natali [406]

Answer:

710

Step-by-step explanation:

if its wrong tell me (☞ﾟヮﾟ)☞(if it right plz give me brainlist)☜(ﾟヮﾟ☜)

3 0

2 years ago

1. A third-grade class needs five leaves each day to feed its two caterpillars. How many leaves would they need each day to feed

Kay [80]

Answer:

17 leaves

Step-by-step explanation:

5 0

2 years ago

Which expression is equivalent to StartFraction 2 a + 1 Over 10 a minus 5 Endfraction divided by StartFraction 10 a Over 4 a squ

const2013 [10]

Answer:

$\frac{(2a + 1)^2}{50a}$

Step-by-step explanation:

Given

$\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}$

Required

Find the equivalent

We start by changing the / to *

$\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}$

$\frac{2a + 1}{10a - 5} * \frac{4a^2 - 1}{10a}$

Factorize 10a - 5

$\frac{2a + 1}{5(2a - 1)} * \frac{4a^2 - 1}{10a}$

Expand 4a² - 1

$\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1}{10a}$

$\frac{2a + 1}{5(2a - 1)} * \frac{(2a)^2 - 1^2}{10a}$

Express (2a)² - 1² as a difference of two squares

Difference of two squares is such that: $a^2- b^2= (a+b)(a-b)$

The expression becomes

$\frac{2a + 1}{5(2a - 1)} * \frac{(2a - 1)(2a + 1)}{10a}$

Combine both fractions to form a single fraction

$\frac{(2a + 1)(2a - 1)(2a + 1)}{5(2a - 1)10a}$

Divide the numerator and denominator by 2a - 1

$\frac{(2a + 1)((2a + 1)}{5*10a}$

Simplify the numerator

$\frac{(2a + 1)^2}{5*10a}$

$\frac{(2a + 1)^2}{50a}$

Hence,

$\frac{2a + 1}{10a - 5} / \frac{10a}{4a^2 - 1}$ = $\frac{(2a + 1)^2}{50a}$

4 0

2 years ago

Which measurements could represent the side lengths of a right triangle?

AfilCa [17]

Answer:

16 cm, 30 cm, 34 cm

Step-by-step explanation:

I got this answer simply by plugging each number into my calculator with the following equation:

$\sqrt{x^{2} +y^{2} }$

When you the lower numbers into the equation, if the lengths really do give you a triangle, then you should get the largest number as your output. This can help you with any of the other questions that you may have to answer.

6 0

2 years ago