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antiseptic1488 [7]
3 years ago
12

Explain how you know that x^2-8x+20 is always positive. Please help.

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

if you rearrange to complete the square, you get (x^2-4)^2 +4

and seeing as anything squared will always be positive or zero, the lowest possible value for (x^2-4)^2 is 0, when x = 4

and 0 + 4 = 4, which is greater than 0, so positive

Step-by-step explanation:

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What is the problem to h-16<24=
ELEN [110]
First, you have to add 16 to both sides because it's the opposite of subtracting.
h-16<24
  +16  +16
-16+16 will cancel each other out.
24+16=40
So, h<40
Or in other words, h is smaller than 40.

Hope it helps ^_^
5 0
3 years ago
if 3 half-gallon containers of ice cream on sale for $6.69,what is the price for 2 half-gallon containers?​
kvv77 [185]
<h3>Answer:  $4.46</h3>

===================================================

Work Shown:

3 containers = 6.69 dollars

3/3 containers = 6.69/3 dollars .... divide both sides by 3

1 container = 2.23 dollars

2*(1 container) = 2*(2.23 dollars) ... multiply both sides by 2

2 containers = 4.46 dollars

A shortcut is to start with "3 containers = 6.69 dollars" and multiply both sides by 2/3

Each mention of "container" refers to a half-gallon container.

6 0
3 years ago
] What percentage of the last 30 U.S. Presidents were inaugurated at the age of 60 or later? (Round to 1 decimal place.)
svetlana [45]

Answer:

20.0%

Step-by-step explanation:

The last 30 presidents of America starts from the 16th president, Abraham Lincoln and ends with the current and 45th president, Donald Trump.

The presidents that are 60 and above years during this period include

Donald Trump, Goerge H. W. Bush, Roland Regan, Gerald Ford, Dwight D. Eisenhower and Harry S. Truman.

Making 6 of them out of 30

The percentage is given by

Number of presidents aged 60 and above×100/Total number of presidents

6×30/100=20%

7 0
3 years ago
What is the correct inverse function for f(x)=ln(3x)?
Maslowich

Let y = f(x)

y = ln(3x)

Exchange place with x and y.

x = ln(3y)

Solve for y.

y = (e^x)/3

Replace y with the inverse notation.

f^(-1) x = (e^x)/3

Done.



5 0
3 years ago
Read 2 more answers
Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
lbvjy [14]
<span>reflection over the x-axis and a translation 4 units down Refelcting f(x) over the x axis gives -f(x)=-3x-1 Subtracting a constant from -f(x) moves the graph of -f(x) that many units down. -f(x)-4=-3x-5=g(x) This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.</span>
8 0
3 years ago
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