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lara [203]
3 years ago
7

F(x)=x^3-x^2+4x+2. is this even, odd or neither? (solve algebraically. will mark brainliest :)​

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

Neither even nor odd

Step-by-step explanation:

If f(x) = f(- x) then f(x) is even

If f(- x) = - f(x) then f(x) is odd

Given f(x) = x³ - x² + 4x + 2, then

f(- x) = (- x)³ - (- x)² + 4(- x) + 2 = - x³ - x² - 4x + 2

Since f(x) ≠ f(- x) then f(x) is not even

- f(x) = - (x³ - x² + 4x + 2) = - x³ + x² - 4x - 2

Since f(- x) ≠ - f(x) then f(x) is not odd

Thus f(x) is neither even nor odd

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Challenge A square pool has volume 3,464 cubic feet and depth 8 feet. A couple builds a fence 3.5 feet high around the
aliya0001 [1]

Answer:

Are they going to build the fence on the edge of the pool?  How are they going to get into the pool?  This question is illogical, however....

Step-by-step explanation:

A square pool is also wierd.

Volume Pool = side × side × depth

Volume Pool / depth = side²                 solve for side

side² = Volume Pool / depth

the fence is 3.5 feet tall

Fencing sqft one side = side × fence height  for ONE side

Total Fencing = 4 × Fencing sqft one side

side² = 3464 ft³ / 8 ft

         = 422 ft²

side  =  √422 ft²

        =  20.54 ft

Fencing area one side  = 20.54 × 3.5

       = 71.899 ft²

Total fencing = 4× 71.899 ft²

      = 287.6 ft²      to the nearest tenth     <--------------------   FINAL ANSWER

8 0
3 years ago
Use your calculator to find an interval of length 0.01 that contains a root. (enter your answer using interval notation.)
allochka39001 [22]
<span>Given a function, if you suspect a root lies near a specific point on the number line, you can evaluate the function at several nearby values and see whether the evaluation is positive or negative. Using a calculator, you should find two real numbers that are at distance 0.01 from one another, such that one real number evaluates positive, and the other evaluates negative. Then the interval between these values contains a root.</span>
6 0
4 years ago
Pls help me with this question
allochka39001 [22]

Answer:

Step-by-step explanation:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:) i am the best lil kissman

3 0
3 years ago
The base of a triangle is 10cm greater than the height .the area is 28cm .find height and base
Naya [18.7K]

Answer:

Height = 5.6cm

Step-by-step explanation:

Area = 1/2bh

b = 10cm, area = 28cm^2

:- 28 = 1/2 × (10)h

28 = 5h

h = 28/5

h = 5.6cm

8 0
3 years ago
What is the inverse of y=3x
Ivahew [28]

Answer:

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Step-by-step explanation:

The easiest way to see the answer, is to think of inverse functions as 'undoing' the original function. So in order to get from 3x back to x, we need to divide by 3. So i.e. the inverse function is just y = x/3

4 0
3 years ago
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