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3 years ago

F(x) = x^2 + 1 What is f(f(x))?

1 answer:

8 0

Answer:if f(x) = x^2-1 then f(f(x)) = f(x)^2 - 1 which is: (x^2 -1)^2 -1 by developping this we get: (x^4 -2x^2 +1) -1 simplifying: x^4 - 2x^2. 540

Step-by-step explanation:

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The Cobb family’s natural gas bill was 85.50 for 95 cubic feet of gas, What is the unit rate? (Cost per cubic foot of gas?)

Ratling [72]

Answer:

I believe it would cost 9 cents per cubic foot of gas.

Step-by-step explanation:

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3 years ago

If a 1 could 1 could a 1 sit on a 2 when a 2 eats a 3 after the 3 sits on 1?

jok3333 [9.3K]

Answer:

no, 2 would be sitting on 1

Step-by-step explanation:

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7 0

3 years ago

ABCD is a parallelogram. If mZCDA = 63, then mZABC = _?_ The diagram is not to scale.

nevsk [136]

Answer:

b. 63

Step-by-step explanation:

A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.

The above answer is correct because opposite angles of a parallelogram are equal:

m∠CDA = m∠ABC

where m∠CDA = 63

∴ m∠ABC = 63 (answer)

4 0

3 years ago

What is the ratio of nickels to quarters in a dollar

Nina [5.8K]

Since the nickles are first and there are (1.00 /.05= 20) 20 nickles in a dollar the first number is 20 then next is quarters and there is (1.00 / .25= 4) 4 quarters in a dollar so the second number is 4 so now u have to simplify if you were told to
the number 20 can be divided by 4 and the answer is 5 the number 4 is next divide by 4 and is 1 so the whole answer is <u>5 to 1 or 5:1</u> <u /><u />

7 0

3 years ago

Read 2 more answers

Mrs. Del Pup bought 20 yards of border for her classroom bulletin board.

KengaRu [80]

A rectangle with dimensions $x$ and $y$ has perimeter 20 if

$2(x+y)=20 \iff x+y=10$

and we can deduce

$y=10-x$

So, the dimensions of the rectangle must be $x$ and $10-x$ , where x ranges from 0 to 10 (both extremes are excluded, otherwise you'd have a degenerate rectangle, which is actually a segment).

So, all the possible areas are given by the product of the dimensions, i.e.

$x(10-x) = -x^2+10x$

The function $f(x)=-x^2+10x$ represents a parabola, facing downwards, and thus it admits a maximum, which is its vertex.

In particular, the vertex of this parabola is given by

$x=\dfrac{-b}{2a}=\dfrac{-10}{-2}=5$

And it yields an area of

$f(5)=-25+50=25$

(a) So, she can frame a maximum area of 25 squared yards.

(b)The dimensions of the rectangle with greatest area are $x=5$ and $y=10-x=10-5=5$ , so it's actually a square.

This is a well known theorem: if you fix the perimeter, the rectangle with the largest area is the square yielding that perimeter.

(c) If we increase both dimensions by 2 yards, our 5x5 square would become a 7x7 square...

(d) ...and the new area would be $7^2=49$ squared yards. So, the new area is $49-25=26$ squared yeards more than the old one.

6 0

2 years ago