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3 years ago

Over which interval of the domain is function h decreasing? A. B. C. The function is increasing only. D.

Mathematics

1 answer:

tester [92]3 years ago

5 0

Answer:

As this question is incomplete and lacks equation of functions to be dealt with. So, I am generally explaining the answer to this question.

1. If derivative of that function gives you a position value, it means it is increasing function.

2. If derivative of that function gives you a negative value, it means it is decreasing function.

Step-by-step explanation:

As this question is incomplete and lacks equation of functions to be dealt with. So, I am generally explaining the answer to this question.

If you have equations of functions then following is the way to determine whether that function is increasing or decreasing.

Process: If you want to know a particular function is increasing or decreasing then simply you have to take derivative of that function:

If derivative of that function gives you a position value, it means it is increasing function. $f^{'} (x) >0$ increasing

If derivative of that function gives you a negative value, it means it is decreasing function. $f^{'} (x)$ decreasing

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Suppose that a and b are integers, a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ) . Find the integer c with 0 ≤ c ≤ 12 such that: c ≡ 9 a

g100num [7]

Answer:

A) For c ≡ 9 a ( mod 13 ) ; C is 10

B) For c ≡ 11 b ( mod 13 ) ; C is 8

C) For c ≡ a + b ( mod 13 ); C is 0

D) For c ≡ a² + b² ( mod 13 ); C is 6

E) For c ≡ a² − b² ( mod 13 ) ; C is 0

Step-by-step explanation:

This is a modular arithmetic problem where a ≡ 4 ( mod 13 ) and b ≡ 9 ( mod 13 ).

And 0 ≤ c ≤ 12.

A) c ≡ 9 a ( mod 13 )

Substituting the value of a to obtain;

c ≡ 9 x4 ( mod 13 ) = 36 mod 13

To find 36 mod 13 using the Modulo Method, we first divide the Dividend (36) by the Divisor (13).

Second, we multiply the whole part of the Quotient in the previous step by the Divisor (13).

Then finally, we subtract the answer in the second step from the Dividend (36) to get the answer. Here is the math to illustrate how to get 36 mod 13 using Modulo Method:

36 / 13 = 2.769231

2 x 13 = 26

36 - 26 = 10

Thus, the answer to "What is 36 mod 13?" is 10

So C = 10

B) c ≡ 11 b ( mod 13 ) = 11 x 9 ( mod 13 ) = 99 ( mod 13 )

Using the same method as above,

99 ( mod 13 );

99 / 13 = 7.6155

7 x 13 = 91

99 - 91 = 8

So, C = 8

C)c ≡ a + b ( mod 13 ) = 4 + 9 (mod 13) = 13 (mod 13)

Thus;

13 / 13 = 1

1 x 13 = 13

13 - 13 = 0

So, C = 0

D)c ≡ a² + b² ( mod 13 ) = 4² + 9²( mod 13 ) = 16 + 81 ( mod 13 ) = 97 ( mod 13 )

Thus;

97 / 13 = 7.46154

7 x 13 = 91

97 - 91 = 6

So, C = 6

E)c ≡ a² − b² ( mod 13 )= 4² - 9²( mod 13 ) = 16 - 81 ( mod 13 ) = - 65 ( mod 13 )

Thus;

-65 / 13 = - 5

-5 x 13 = - 65

-65 - (-65) = 0

So, C = 0

3 0

3 years ago

When multiplying exponents do you add them.

Masja [62]

Add the exponents if the bases are the same, multiply the bases if the exponents are the same, if nothing is the same just solve it.

5 0

2 years ago

Please helo with thos question pleas

natta225 [31]

The sum of the opposite interior angles is equal to the exterior angle.

So,

∠CAB + ∠ACB = ∠CBD

x + 40 + 3x + 10 = 6x

4x + 50 = 6x

2x = 50

x = 25°

∠CAB = x + 40 = 25 + 40 = 65°

Hence, the answer is D.

4 0

4 years ago

The rule of 72 is used to determine how long it will take an investment to ___. For an Investment of $5,000 earning 7% annually,

Gnom [1K]

Answer:

The rule of 72 is used to determine how long it will take an investment to Double

For an Investment of $5,000 earning 7% annually, this will take about ten years

Step-by-step explanation:

The rule of 72 says that to find the number of years required to double your money at a given interest rate, you just divide 72 by the interest rate

Example:

If you want to know how long it will take to double your money at 9% interest, divide 72 by 9 you will get 8 years

The formula of the rule of 72 is Y = $\frac{72}{r}$

Let us complete the missing

The rule of 72 is used to determine how long it will take an investment to Double

The missing word is "Double"

∵ The investment is $5,000

∵ The annual interest is 7%

- By using the rule of 72

∵ Y = $\frac{72}{r}$

∵ r = 7

∴ Y = $\frac{72}{7}$

∴ Y = 10.29

- Round it to the nearest year

∴ Y ≅ 10 years

For an Investment of $5,000 earning 7% annually, this will take about ten years

The missing word is "ten"

5 0

3 years ago

a baseball team has a tub. the tub has a width of 150 and a length of 150 plus the height of 80. What is the capacity of the tub

Mrrafil [7]

Answer:

1800 liters

Step-by-step explanation:

150*150*80=1800000 cubic cm

1800000/1000= 1800 liters

Might seem like a lot but really isn't.

6 0

3 years ago