MATHEMATICS COLLEGE

Let U be the set of natural numbers, A be the set positive odd integers and B be thepositive even integers. Determine
i. A U B
ii. A - B ​

Answers

Answer 1
Answer:

Answer:

Hope it helped u

Step-by-step explanation:

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Find the domain of f and f −1 and its domain. f(x) = ln(ex − 3). (a) Find the domain of f. (Enter your answer using interval notation.) (−2,[infinity]) (b) Find f −1. f −1(x) = x+ln(3)

Answers

Answer:

a.Domain of f=(1.099,\infty)

b.f^(-1)(x)=ln(e^x+3)

Step-by-step explanation:

Let y=f(x)=ln(e^x-3)

We know that domain of ln x is greater than zero

e^x-3>0

Adding 3 on both sides of inequality

e^x-3+3>0+3

e^x>3

Taking on both sides of inequality

lne^x>ln 3

x>ln 3=1.099

By using lne^x=x

Domain of f=(1.099,\infty)

Let y=f^(-1)(x)=ln(e^x-3)

e^y=e^x-3

By using property lnx=y\implies x=e^y

e^x=e^y+3

Taking ln on both sides of equality '

lne^x=ln(e^y+3)

x=ln(e^y+3)

Replace x by y and y by x

y=ln(e^x+3)

Substitute y=f^(-1)(x)

f^(-1)(x)=ln(e^x+3)

A thief steals an ATM card and must randomly guess the correct 6 digit PIN code from a 40 keypad repetition of digits is allowed what is the probability of a correct guess on the first try the number of possible codes is what

Answers

1 out of a 40 chance or 2% out of a 100
1 out of 40 percent chance

A math student has a plan to solve the following system by the elimination method. to eliminate the x-term , he wants to multiply the top equation by 7. what should he multiply the second equation by so that when he adds the equation, the x-term are eliminated ? -3x-7y=-56-7x+10y=-1

Answers

9514 1404 393

Answer:

  -3

Step-by-step explanation:

The coefficients of the x-terms are (-3, -7). If you swap them, you have (-7, -3). Negating one of them will give you (7, -3) or (-7, 3). Either of these pairs of multipliers will work to eliminate the x-terms.

The problem statement tells us the multiplier of the first equation is 7, so the multiplier of the second equation needs to be -3.

Give the values of A, B, and C needed to write the equation's general form.(5 + x)(5 - x) = 7

1. A = 1; B = 0; C = -18
2. A= -1; B = 0; C = 25
3. A = 25; B = 0; C = -1

Answers

Given:

The equation is:

(5+x)(5-x)=7

To find:

The value of A, B and C for the equation's general form.

Solution:

We have,

(5+x)(5-x)=7

Using distribution property, we get

(5)(5)+(5)(-x)+(x)(5)+(x)(-x)=7

25-5x+5x-x^2=7

25-x^2=7

Taking all terms on one side, we get

25-x^2-7=0

-x^2+18=0

-(x^2-18)=0

x^2-18=0

On comparing this equation with the general form of a quadratic equation Ax^2+Bx+C=0, we get

A=1

B=0

C=-18

Therefore, the correct option is 1.

What is the goal of a proof by contradicción?

Answers

Answer:

In logic and mathematics, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction.

Step-by-step explanation:

PLS HELP I ONLY NEED PART BKari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie.
Part A Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression.
Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.

Answers

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation: hope this helps!!! :)

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation:
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