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4 years ago

Write the polynomials in standard form: (15–7xy^2)–(y^3–y^2x–15)

Mathematics

1 answer:

stepan [7]4 years ago

7 0

<h3>Answer:</h3>

-y³ -6y²x +30

<h3>Step-by-step explanation:</h3>

When parentheses are eliminated and the y variable placed first in each term, the expression simplifies to ...

... 15 -7y²x -y³ +y²x +15

Arranging like terms together, we have ...

... -y³ +y²x(-7 +1) +(15 +15)

... -y³ -6y²x +30

_____

The two different 3rd-degree terms can be expressed in either order. I have chosen to list the term with the largest exponent first. The expression could also be written with the same-degree terms in "lexicographical order", meaning the expression would be written ...

... -6xy² -y³ +30

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Given: y = 3x - 4.<br> What is the x-intercept? <br> (0, -4)<br> (0, 4/3)<br> (4/3, 0)

lyudmila [28]

The x-intercept is a point whose y-coordinate is 0, so (x,0).
Substitute 0 for y in the equation:
$y=3x-4 \\ 0=3x-4 \\ 4=3x \\ x=\frac{4}{3}$

The x-intercept is $(\frac{4}{3}, 0)$ .

4 0

4 years ago

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Use inverse operations to love each equation--

Dominik [7]

a.) you start with 19=h/3-8 so you add 8 to both sides then you simplify 19+8 to 27 so the equation then becomes 27=h/3 from there you multiply each side by 3 so its 27*3=h then you simplify 27*3 which leaves you with 81=h u then switch it around and your final answer h=81

b.) you start with 0.6x +0.8=1.4 first you subtract 0.8 from both sides so the equation is 0.6x=1.4-0.8 then you simplify 1.4-0.8/ so it then becomes 0.6x=0.6 u then divide both sides by 0.6 so the equation is now x=0.6/0.6 you then simplify 0.6/0.6 so you are left with x=1

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3 years ago

What is −5/8÷9/10 ?−25/36−9 1/6−35/80−1 3/6

balandron [24]

Answer:

-25/36

Step-by-step explanation:

7 0

3 years ago

Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a norma

loris [4]

Answer: For 95% Confidence Interval:

Upper Limit = 110.2

Lower Limit = 97.8

95% Confidence Interval = [97.8, 110.2]

Step-by-step explanation:

Given that,

Mean(M) = 104

Standard Deviation(SD) = 10

Sample Size(n) = 10

Formula for calculating 95% Confidence Interval are as follows:

Standard error(SE) = $\frac{SD}{\sqrt{n} }$

= $\frac{10}{\sqrt{10} }$

= 3.164

⇒ M ± $Z_{0.95}$ × SE

= 104 ± (1.96)(3.164)

= 104 ± 6.20

∴ Upper Limit = 104 + 6.20 = 110.2

Lower Limit = 104 - 6.20 = 97.8

So,

95% Confidence Interval = [97.8, 110.2]

6 0

3 years ago

When simplified and written in standard form which quadratic function is equivalent to the polynomial shown? 2+7c-4c2-3c+4

bazaltina [42]

Hello.

The answer is

-4c^2+4c+6

You have to combine the regular numbers that is 4 and 2 that adds to 6.

Then there is 7c-3c which gives u 4c and then whats left is -4c^2.

Have a nice day

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3 years ago

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