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Marizza181 [45]
3 years ago
6

Prove algebraically what type of function this is (even, odd, or neither).

Mathematics
1 answer:
Kitty [74]3 years ago
4 0

The given function is even.

Solution:

<em>If f(-x) = f(x), then the function is even.</em>

<em>If f(-x) = -f(x), then the function is odd.</em>

Given function:

f(x)=x^{6}-x^{4}

Substitute x = -x

f(-x)=(-x)^{6}-(-x)^{4}

          =x^{6}-x^{4}

          = f(x)   (given)

   f(-x) = f(x)

From the definition, it is even.

Hence the given function is even.

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If angle x=55% and angle y=35, calculate the following 1.cos(x+y) ​
Setler79 [48]

Answer:

cos(X+Y) = cos(55+35) = cos(90) = 0

Step-by-step explanation:

cos(X+Y) = cosXcosY - sinXsinY

cos(55+35) = cos(55)cos(35) - sin(55)sin(35)

cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)

cos(55+35) = cos(55)cos(35) - cos(35)cos(55)

cos(55+35) = 0

cos(90) = 0

4 0
3 years ago
Drew has more than 4 times as many baseball cards as mark. Katie has fewer than half as many cards as mark. Mark has m baseball
Sphinxa [80]

Answer:

Cards with Mark = 30

Cards with Drew  = 120

Cards with Katie = 12

Step-by-step explanation:

The complete question is

Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards  as Mark. In all they have 162 baseball cards. How many does each have?

Solution -

Let the number of cards with Mark be "X"

Number of cards with Drew = 4 *X = 4X

Number of Cards with Katies = 0.5 X -3

Sum of all the cards is equal to 162

X+4X + 0.5 X -3 = 162

5.5 X = 165

X = 30

Cards with Mark = 30

Cards with Drew = 4 * 30 = 120

Cards with Katei = 15-3 = 12

5 0
3 years ago
What is mKNL?<br> Enter your answer in the box.
sergejj [24]

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

5x+2={3(x+14)

Now let's solve for x now

5x+2=3(x+14)\\

5x+2=3x+42

5x-3x=42-2

2x=40

\frac{2x}{2} =\frac{40}{2}

x=20 \\

Now let's find the value of KNL

3(x+14)\\3(20+14)\\3*34\\102

Hope this helps you.

Let me know if you have any other questions ;-)

5 0
2 years ago
Hi can you please help me with my work​
babymother [125]
Hi yes I can:)
Its the first option. 3 1/2
5 0
3 years ago
Read 2 more answers
I am the amount left over when a number canot be divided equally<br> answer quick
Kryger [21]

Answer:

Remainder

Step-by-step explanation:

When a number can't be divided equally, there's an amount leftover. The leftover number is called a <em><u>remainder</u></em>

I'm not really great at explaining stuff, but I hope this helps!

4 0
2 years ago
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