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stellarik [79]
3 years ago
8

Functions f(x) and g(x) are shown below:

Mathematics
1 answer:
hoa [83]3 years ago
6 0

f(x) is a multiple of the cosine function. g(x) is a multiple of the sine function. Both the cosine function and the sine function have a maximum value of 1, so the magnitude of the multiple will determine which function has the largest maximum value.

The multiple for f is 2; the multiple for g is 3, which is greater than 2. Hence g(x) has a larger maximum value than f(x).

You might be interested in
17-5(2x-9)=-(-6x+10)+4
MrRa [10]
17 - 5(2x - 9) = -(-6x + 10) + 4

On the right side of the equation, there is a negative sign infront of the parentheses. This means that you are multiplying the parentheses by -1.

17 - 5(2x - 9) = (6x -10) + 4

The 6x is positive because a negative times a negative is positive. The 10 is negative because a negative times a positive is a negative. Now, combine the like terms on the right side of the equation by adding -10 and 4 together.

17 - 5(2x - 9) = 6x - 6

Now that you have simplified the right side of the equation, move to the left side. Start with multiplying 5 times (2x - 9) using the distributive property.

17 - (10x - 45) = 6x - 6

After that, combine the like terms by subtracting -45 from 17. Because you would be doing 17 - -45, you would change all signs because when you subtract with negatives, you have to change the signs. Due to the change of the signs, you are just adding 17 and 45 together.

62 + 10x = 6x - 6

Now, you need to get the x's on one side and the whole numbers on the other side. Begin by subtracting 6x from both sides.

62 + 10x = 6x - 6
         -6x    -6x
62 + 4x = -6

Now, subtract 62 from negative 6. Remember to change the signs. You will end up with -6 + -62.

4x = -68

Finally, divide both sides by 4.
<u>4x</u> = <u>-68
</u>4        4
x = 17

Final Answer: x = -17














3 0
3 years ago
Read 2 more answers
How many liters are in 1 dekaliter? Use the metric table to help answer the question.
WINSTONCH [101]

Answer: 1 decaliter=10 liter

Step-by-step explanation:

8 0
3 years ago
What is 0.818181818181818181 as a fraction
Mariana [72]

Answer:

8/9

Step-by-step explanation:

8 0
3 years ago
On a shopping trip, Peter spent 1/3 of his money for a jacket and another $5 for a hat. If peter still had 1/2 of his money left
katen-ka-za [31]
Let x be the money he had originally.
x/3+5=x/2
5=x/6
x=30
So he had $30 originally.
8 0
3 years ago
N is an odd number.
nikitadnepr [17]

Answer:

True:

D.

E.

F

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

3^{2} -1=9-1=8

Plug 3 into B:

3(3-1)=9-3 = 6

Plug 3 into C:

(3-2)^{2} = 2^{2}  = 4

Plug 3 into D:

3^{2} +2 = 9+2=11

Plug 3 into E:

3(3-2) = 9-6 = 3

Plug 3 into F:

(3-2)^{2}=1^{2}  =1

3 0
2 years ago
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