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2 years ago

Evaluate the polynomial when x = 3 and y = - 8x2 + y2 + xy

Mathematics

2 answers:

zalisa [80]2 years ago

8 0

Answer:

Step-by-step explanation:

We are given the polynomial:

$x^2+y^2+xy$

We want to evaluate when x=3 and y= -8. Therefore, we must substitute 3 for each x and -8 for each y.

$(3)^2+(-8)^2+(3*-8)$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Solve the parentheses first. Multiply 3 and -9.

3*-8=-24

$(3)^2+(-8)^2 + -24$

$(3)^2+(-8)^2-24$

Now, solve the exponents.

3^2= 3*3 =9

$9+ (-8)^2 -24$

-8^2= -8*-8= 64

$9+64-24$

Add 9 and 64

$73-24$

Subtract 24 from 73

$49$

The polynomial evaluated for x=3 and y= -8 is 49.

Ivahew [28]2 years ago

5 0

<h3>Answer: 49</h3>

Work Shown:

Replace x with 3, replace y with -8. Use order of operations PEMDAS to simplify.

x^2 + y^2 + x*y

3^2 + (-8)^2 + 3*(-8)

9 + 64 - 24

73 - 24

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2 years ago

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Andrews [41]

The inequality that can be used to determine the number of boxes of donuts, d, they must sell in order to meet their goal is $1500 ≥ $575 + $5d.

<h3>What is the inequality?</h3>

Here are inequality signs and what they denote:

> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to

Total amount that needs to be raised ≥ amount made at the fruit sale + (profit per box x number of boxes)

$1500 ≥ $575 + $5d

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2 years ago

find the margin of error to use for this sample mean sushi based on a sample of 35 people he average out of pieces of sushi a pe

NNADVOKAT [17]

Answer:

{13.7756,18.2244}

Step-by-step explanation:

Given the sample size, the margin of error can be calculated with the formula $M=Z*\frac{\sigma}{\sqrt{n}}$ where Z is the critical value for the desired confidence level, σ is the population standard deviation, and n is the sample size. Therefore, our margin of error for a 90% confidence level is:

$M=Z*\frac{\sigma}{\sqrt{n}}=1.645*(\frac{8}{\sqrt{35}})=2.2244$

The formula for a confidence interval is $CI=\bar{x}+M$ where x-bar is the sample mean. Therefore, the 90% confidence interval for the mean amount of sushi pieces a person can eat is:

$CI=\bar{x}\pm[M]=16\pm2.2244={13.7756,18.2244}$

Therefore, we are 90% confident that the true mean amount of sushi pieces a person can eat is contained within the interval {13.7756,18.2244}

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3 years ago

3.41 repeating as a simplified fraction

HACTEHA [7]

Answer:

3 37/90

Step-by-step explanation:

You didn't ask for the work. Hope this helps.

Marking as Brainliest is much appreciated.

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3 years ago

Which function corresponds to the table of inputs and outputs?

Anarel [89]

Answer:

f(x) = 3x + 2

Step-by-step explanation:

That's easy to find out. You have your input number, which is your x value, and you have your output number which is your y value (or f(x)).

All you have to do is see if each of the proposed answer works for ALL entries in the data set.

f(x) = 3x + 2

for x = 3 ===> 11 = 3 (3) + 2 = 11 YES

for x = 5 ===> 17 = 3 (5) + 2 = 17 YES

for x = 7 ===> 23 = 3 (7) + 2 = 23 YES

for x = 9 ===> 29 = 3 (9) + 2 = 29 YES

f(x) = 2x + 5

for x = 3 ===> 11 = 2 (3) + 5 = 11 YES

for x = 5 ===> 17 = 2 (5) + 5 = 15 NO - we stop here for this function

f(x) = x + 7

for x = 3 ===> 11 = (3) + 7 = 10 NO - we stop here for this function

f(x) = 3x + 1

for x = 3 ===> 11 = 3 (3) + 1 = 10 NO - we stop here for this function

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3 years ago

Evaluate the polynomial when x = 3 and y = - 8x2 + y2 + xy​

Evaluate the polynomial when x = 3 and y = - 8x2 + y2 + xy