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denpristay [2]
3 years ago
7

Find the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}

Mathematics
1 answer:
Wittaler [7]3 years ago
8 0

Answer:

10

Step-by-step explanation:

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Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?
Elza [17]

For this case we have the following definitions:


A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.


A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.


We then have the following function:

f (x) = 9 - 4x ^ 2


Applying the definitions we have:

f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)


Answer:

The function is not odd because it is fulfilled:

f (-x) = f (x)

Therefore, the function is even.

5 0
3 years ago
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PLEASE HURRY!!! TIMED!!!! WILL GIVE BRAINLIEST!!!
fgiga [73]

Answer:

3.

7.608

Step-by-step explanation:

An irrational number is any number which can't be written as a fraction this way. For example, pi and the square root of two cannot be expressed as a fraction of two whole numbers, so they are both irrational.

if we make the respective accounts in the first and second problem we will see that they are irrational numbers

the fourth is a periodic number, which falls within the irrational

the only rational is the third

7 0
3 years ago
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Write the equation that modeled the sequence 63,-21,7,-7/3,7/9
Ilya [14]

Answer:

an = 63(-1/3)^(n-1)

Step-by-step explanation:

This is a geometric sequence with first term 63 and common ratio -1/3.

The equation for the nth term  is

an = 63(-1/3)^(n-1).

6 0
3 years ago
24kids will attend next week’s field trip. If 5 kids can fit each car. How many cars will be needed?
Kipish [7]

Answer:

The answer is 5.......

Step-by-step explanation:

5x5=25

3 0
4 years ago
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Find the derivative of the function at P 0 in the direction of A. ​f(x,y,z) = 3 e^x cos(yz)​, P0 (0, 0, 0), A = - i + 2 j + 3k
Alik [6]

The derivative of f(x,y,z) at a point p_0=(x_0,y_0,z_0) in the direction of a vector \vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k is

\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}

We have

f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k

and

\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}

Then the derivative at p_0 in the direction of \vec a is

3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}

3 0
4 years ago
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