How do I express the area of a square as a monomial

Answers

Answer 1
Answer: Well, the Area of a Rectangle = Length x Width, and a square is a rectangle with all equal sides, which means Length = Width, so the Area of a Square = Length x Length = Length^2, which you can write as x^2. The Area of a Square = x^2, where x is the length of one side of the square.

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If a function f is continuous for all x and if f has a relative maximum at (-1, 4) and a relative minimum at (3, -2), which of the following statements must be true? (a) The graph of f has a point of inflection somewhere between x = -1 and x= 3 (b) f'(-1) = 0 (c) this is wrong (d) The graph of f has a horizontal tangent line at x = 3 (e) The graph of f intersects both axes - Correct answer I understand why e is correct, but I do not get why a, b, and d are all wrong. Aren't b and d to be expected since they are relative max/min's? I also can't imagine a case in which "a" is incorrect. Can someone explain why they are wrong? Thank you!
Is 3 yards greater than less than or equal to 10 feet

140% of what number is 48

Answers

1.4x = 48
Solve for x
x = 48/1.4

x = 34.2857
percent means parts out of 100
140%=140/100=1.4
'of' means multiply
'is' means =
140% of what is 48 means
1.4 times what=48
divide both sides by 1.4
what=34.285714285714285714285714...

Witch expression represents the composition g(f(x)) for the functions below? F(x)=-3x^2 g(x)=3x

Answers

Answer:

-9x^2

Step-by-step explanation:

Composition of two functions can be obtained by replacing inner function in place of x of outer function and then plugging back the actual value of inner function  f(x) and then simplifying it gives g(f(x)) which is usually called gof(x) .

f(x) = --3x^2

g(x) = 3x

g(f(x) ) = 3 f(x)

            =3 (-3x^2)

            = -9x^2

Answer:

-9x²

Step-by-step explanation:

We have given two functions.

We have to find their composition.

f(x) = -3x²   and g(x) = 3x

(gof)(x) = g(f(x)) = ?

Firstly , we have to put the value of f(x) in g(f(x)).

Putting given values, we have

g(f(x)) = g(-3x²)

g(f(x)) = 3(-3x²)

g(f(x)) = -9x² which is the answer.

For his birthday party Jacob mixed together 8 gal. Of Brand A fruit punch and 2 gal. of brand B. Brand A contains 60% fruit juice an brand B contains 10% fruit juice. What percent of the mixture is fruit juice?

Answers

The answer is 5 gallons
Its very simple. 
Turn 60% and 10% into decimals ( .60 and .10)
Multiply 8 gallons ( brand A ) by .60 and you get 4.8 gallons
Multiply 2 gallons ( brand B ) by .10 and you get .2 gallons
Add them up and you get 5 gallons.

Which answer shows 10.39 written in expanded form?A.1+0.3+0.9

B. 10+3+0.9

C. 10+0.3+0.09

D. 1+0.3+0.09

Answers

it is going to be C
10+.3= 10.3+.09=10.39
your answer is d because 1 + 0.3 + 0.09 = 10.039

What is 32% as a fraction and as a decimal simplified

Answers

One little tool that you should always remember when you work
with percents is this:

           The symbol   ' % '  means  ' /100 ' .

So  ' 32% '  means  ' 32/100 ' .  There's your fraction.

If you want to simplify the fraction, divide the top and bottom numbers
by their greatest common factor.  The greatest common factor of 32
and 100 is 8.

           32/100  =  4/25 .        There's your simplified fraction.

To find the decimal, you have two choices:

Choice #1:
A fraction always means division.  Whenever you see a fraction,
it means "the top number divided by the bottom number".

Take one of the fractions ... 32/100  or  4/25 ... and do the division,
with your pencil or your calculator.  The quotient will be the decimal.

Choice #2:
Another little tool that you should always remember
when you work with percents:

     To change a decimal into a percent, move the
     decimal point two places that way  ==> .            0.25  =  25.%

     To change a percent into a decimal, move the
     decimal point two places this way   <== .             32.%  =  0.32
                                                                               There's your decimal.

Which is the result of converting 35 ounces into pounds 1 pound equals 16 ounces

Answers

Just divide 35 ounces by the number of ounces in a pound, 16. The answer is 2.1875 pounds.