Consider the polynomial, 5x 9x 2x11 6.

Answers

Answer 1

Answer: It would be the 11th degree because that is the highest power in the expression. usually an expression will be arranged from highest power to lowest power going left to right. that is not true for this case but it is good information to know.

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If three dozen cookies cost $9, what is the cost per cookie?

Answers

Answer:

$0.25 is the cost per cookie

Step-by-step explanation:

Unit rate defined as the rate are expressed as a quantity as 1 such as 4 meter per second or 4 miles per hour

As per the statement:

If three dozen cookies cost $9.

Use conversion:

1 dozen = 12

then;

3 dozen = 36

then;

36 cookies cost $9.

Cost of cookies = $9

Number of cookies = 36

Then by unit rate definition we have;

$\text{Cost per cookies} = \frac{\text{Cost}}{\text{Number of cookies}} = (9)/(36)$

⇒ $\text{Cost per cookies} = (1)/(4) = \$ 0.25$

Therefore, $0.25 is the cost per cookie

25 cents per cookie

What is 1/3 of 225,000

Answers

$(1)/(3)*225,000= (225,000)/(3)=75,000$

Final answer:

1/3 of 225,000 can be calculated by dividing the number 225,000 by 3. The result of this operation is 75,000. Therefore, 1/3 of 225,000 is 75,000.

Explanation:

To find one-third of 225,000, divide 225,000 by 3. This is equivalent to multiplying by 1/3, as division and multiplication by the reciprocal are inverse operations. When calculated, the result is 75,000. This means that one-third of 225,000 equals 75,000. Understanding this relationship between division and multiplication helps simplify complex calculations and provides a straightforward method for determining fractions of large numbers, facilitating efficient mathematical problem-solving.

Learn more about division here:

brainly.com/question/37843448

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The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?

Answers

Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,

we know,

$\hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6$

$\hookrightarrow \: y + 7x - 7 = 16x - 6$

$\hookrightarrow \: y = 16x - 6 - 7x + 7$

$\hookrightarrow \: y = 6x + 1$

hence, measure of the third side is 6x + 1

Could you please solve me this exercice: :3 $x^2-5x+√(x^2-5x+7)=5$

Thank you a lot! :3 :3 :3

Answers

$Domain:x^2-5x+7\geq0\n\na=1;\ b=-5;\ c=7\n\n\Delta=b^2-4ac\to\Delta=(-5)^2-4\cdot1\cdot7=25-28=-3 < 0\n\ntherefore\ D:x\in\mathbb{R}$

$Find\ minimum\ value\ of\ x^2-5x+7\n\ny_(min)=(-\Delta)/(4a)\to y_(min)=(-(-3))/(4\cdot1)=\boxed{(3)/(4)}\n-----------------------------\nx^2-5x+√(x^2-5x+7)=5\ \ \ \ \ |add\ 7\ to\ both\ sides\n\nx^2-5x+7+√(x^2-5x+7)=12\n\nsubtitute\ t=x^2-5x+7\ (t\geq(3)/(4))\n\nt+√(t)=12\ \ \ \ |subtract\ t\ from\ both\ sides\n\n√(t)=12-t\ \ \ \ \ \ |square\ both\ sides$

$t=(12-t)^2\n\nt=12^2-2\cdot12\cdot t+t^2\n\nt=144-24t+t^2\n\nt^2-24t+144=t\ \ \ \ \ |subtract\ t\ from\ both\ sides\n\nt^2-25t+144=0\n\nt^2-9t-16t+144=0\n\nt(t-9)-16(t-9)=0\n\n(t-9)(t-16)=0\iff t-9=0\ or\ t-16=0\n\nt=9\ or\ t=16$

$t+√(t)=12\ therefore\ t=16\ is\ not\ a\ solution.$

$t=9\to x^2-5x+7=9\ \ \ \ |subtract\ 9\ from\ both\ sides\n\nx^2-5x-2=0\n\na=1;\ b=-5;\ c=-2\n\n\Delta=(-5)^2-4\cdot1\cdot(-2)=25+8=33\n\nx=(-b\pm\sqrt\Delta)/(2a)\to x=(5\pm√(33))/(2)$

$Answer:\n\boxed{x=(5-√(33))/(2)\ or\ x=(5+√(33))/(2)}$

if xy=0 then x or/and y must be 0 so we try to get it to zero later

so first we get the square root on one side by itself
so subtract x^2-5 from both sides (-x^2+5 to both sides)

√(x^2-5x+7)=-x^2+5x+5
square both sides (or both sides to the ^2 power)
gets rid of the √
x^2-5x+7=(-x^2+5x+5)^2=x^4-10x^3+15x^2+50x+25
so subtract x^2 from both sides
-5x+7=x^4-10x^3+14x^2+50x+25
add 5x to both sides
7=x^4-10x^3+14x^2+55x+25
subtract 7 from both sides
0=x^4-10x^3+14x^2+55x+18
factor
(x^2-5x-9)(x^2-5x-2)=0
(x^2-5x-9)=0
(x^2-5x-2)=0
I'm not sure how to proceed but if you can find the factors of (x^2-5x-2) and (x^2-5x-9) and set them to zero, you can get the answers

1. describe how graphs of y=|x| and y=|x|-15 are related.2. write an equation for the translation of y=|x|
2 units down.

Answers

1. y=|x|-15 is 15 units down y=|x|

2. y=|x|-2 is the equation for the translation of y=|x| two units dwon.

How do you write the following expanded number in standard notation?10,000,000 + 500,000 + 3,000 + 90 + 7

10,503,970
10,503,097
1,503,097
10,053,097

Answers

10,503,097
Just add all of the numbers together
and then add the commas. (:

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