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3 years ago

Simplify.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

8u+9v+3u−5v

Step-by-step explanation:

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There are 13 vans and 12 buses with 767 students at high school. And at high school B there are 8 vans and 6 buses with 400 stud

eimsori [14]

U have to divide to get the answer

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4 years ago

Find a polynomial function of degree 3 with 2, i, -i as zeros.

sergiy2304 [10]

Answer:

$p(x)= x^3-2x^2+x-2$

Step-by-step explanation:

Here we are given that a polynomial has zeros as 2 , i and -i . We need to find out the cubic polynomial . In general we know that if $\alpha , \ \beta \ \& \ \gamma$ are the zeros of the cubic polynomial , then ,

$\sf \longrightarrow p(x)= (x -\alpha )(x-\beta)(x-\gamma)$

Here in place of the Greek letters , substitute 2,i and -i , we get ,

$\sf\longrightarrow p(x)= (x -2 )(x-i)(x+i)$

Now multiply (x-i) and (x+i ) using the identity (a+b)(a-b)=a² - b² , we have ,

$\sf \longrightarrow p(x)= (x-2)\{ x^2 - (i)^2\}$

Simplify using i = √-1 ,

$\sf \longrightarrow p(x)= (x-2)( x^2 + 1 )$

Multiply by distribution ,

$\sf \longrightarrow p(x)= x(x^2+1) -2(x^2+1)$

Simplify by opening the brackets ,

$\sf\longrightarrow p(x)= x^3+x-2x^2-2$

Rearrange ,

$\sf\longrightarrow \underline{\boxed{\blue{\sf p(x)= x^3-2x^2+x-2}}}$

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3 years ago

Andrew Needs 995 tickets to get the prize he wants At the arcade. He Already has 319 tickets and can earn 4w tickets each time h

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650 tickets
To win the e prize

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3 years ago

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars. What is the mean absolute deviat

galben [10]

To find the mean absolute deviation, you have to find the mean first.
1+1+2+2+2+4=12
12 divided by 6 numbers=2 The mean of that is two
Next, you have to find the amount the original numbers are away from the mean.
1= 1 away from 2 2=0 away from 2 4=2 away from 2
You should get: 1,1,0,0,0,2 Next, you have to find the mean of the new set of numbers. 1+1+0+0+0+2=4
4 divided by 6= 2/3
The mean absolute deviation is 2/3

8 0

4 years ago

Read 2 more answers

Divide 405 in the ratio 3: 12<br>Give your final answer in the form<br>... and ..

andrey2020 [161]

Answer:

in the form 81 and 324

Step-by-step explanation:

Divide 405 in the ratio 3: 12.

3x+12x=405

15x=405

x=405:15

x=27

=> 3*27 and 12*27

81 and 324

in the form 81 and 324

6 0

4 years ago