solve system by substitution
y=3x-20
y=-x^(2)+34

Answers

Answer 1

Answer: $\begin{cases} y=3x-20 \n y=-x^2+34 \end{cases}\n \n \begin{cases} y=3x-20 \n3x-20=-x^2+34 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-20-34=0 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases}$

$\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases} \n \nx^2+3x-54=0 \n \na=1, \ \ b=3, \ \ c= -54 \n \n \Delta =b^2 -4ac =3^2-4*1*(-54)=9+216=225 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(-3-√(225))/(2)=(-3-15)/(2)= (-18)/(2)=-9$

$x_(2)=(-b+√(\Delta ))/(2a) =(-3+√(225))/(2)=(-3+15)/(2)= (12)/(2)=6$

$\begin{cases} y=3x-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3x-20 \nx=6 \end{cases}\n \n \begin{cases} y=3*(-9)-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3*6-20 \nx=6 \end{cases}\n \n \begin{cases} y=-27-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=18-20 \nx=6 \end{cases}\n \n \begin{cases} y=-47 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=-2\nx=6 \end{cases}$

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Which of the following is the correct factorization of the polynomial below?x3 -12
O A. (x+3)(x-4)
O B. (x-3)(x + 4)
O C. (x+3)(x2 - 4x + 4)
O D. The polynomial is irreducible.

Answers

Answer: The polynomial is irreducible

Step-by-step explanation:

There is nothing we can subtract between x3-12

For example: you are trying to find the polynomial of x4-6

Options:

A. (x+4)(x-6)

B. (x+1+3)(x-6)

C. None the polynomial is irreducible.

You would chose C because there is no subtraction sign in between the parentheses. If you would choose a right answer, you would rewrite it as:

(x+4)-(6)

What is 284 rounded to the nearest hundred

Answers

284 rounded to the nearest hundred is 300.

What is a place value?

Place value, which is related to a digit's location in a number, is the amount that each digit is worth.

Given:

The number is 284.

To round the number to the nearest hundred:

The digit in the hundredth place is 8.

And 8 > 4.

So, the number left to the number 2 will increase by 1.

And the number right next to 8 will become zero.

So, the value of 2 becomes 2 + 1,

and the rest number becomes zero.

So, 284 rounded to the nearest hundred is 300.

Therefore, the result is 300.

To learn more about the place value;

brainly.com/question/27734142

#SPJ2

Your answer would be 300, as you can see "84" is very close to 100, making this 300

A line passes through (6,3),(8,4),and (n,-2). Find the value of n.
please help :)

Answers

You would do 8-6=2 4-3=1

1/2 is your slope

1/2(6)=3
3-3=0

Your equation would be y=1/2x

So your n value is -4

Kelly is having a party. She wants to make punch. The recipe forunch uses 3 pints of pineapple juice,5 cups of orange juice, gallon ofade, and 1 quart of apricot nectar.Part AKelly says her recipe will make 20 cups of punch. Is Kelly correct?Explain your answer.

Answers

Answer:

Kelly is wrong and the recipe will make 19 cups of punch.

Step-by-step explanation:

We are given that,

The amount of ingredients in the recipe of punch after converting the units to 'cups' are given by,

Pineapple juice = 3 pints = 6 cups .......................(As 1 pint ≈ 2 cups)

Orange juice = 5 cups

Lemonade = $(1)/(4)$ gallon = 4 cups ...........................(As 1 gallon = 16 cups)

Apricot nectar = 1 quart = 4 cups .........................(As 1 quart = 4 cups)

Then, the total cups of punch = 6 + 5 + 4 + 4 = 19 cups.

Thus, Kelly is wrong and the recipe will make 19 cups of punch.

No she is not because a galloon equals 16 cups, a quart equals 4 cups, and a pint equals 2 cups. So altogether including the other 5 cups, it would be 27 cups.

Kira jogs to a store 72n away in a time of 36s. What is Kira's average speed?Please show your work
Thank You

Answers

The average speed should be 2n/s

Given that,

Kira jogs to a store 72n away in a time of 36s.

Based on the above information, the calculation is as follows:

$= 72/ 36$

= 2n/s

Learn more:brainly.com/question/1289629?referrer=searchResults

Check this attachment

Please do this problem, and if you are able to, please tell me how you did it! ;-D

Answers

Bottom chunk is 4 by 4, so that part has 16 blocks. The next one up is 4 by 3 so that one is 12 blocks. Second from the top is 4 by 2, this chunk has 8 blocks. The very top chunk is 2 by 1, this one has only 2 blocks.

1. Altogether there are 38 blocks. I added all the chunks together.

Does this give you a starting point? I don't want to give you the answer strait up. Think about it. I believe in you. Let me know if you need more help.

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