Help me, please, i"m desperate
Help me, please, i"m desperate - 1

Answers

Answer 1
Answer: D:5x-2>0 \wedge x>0 \wedge x-1>0\nD:5x>2 \wedge x>0 \wedge x>1\nD: x>(2)/(5) \wedge x>1\nD:x>1\n\log_2(5x-2)-\log_2x-\log_2(x-1)=2\n\log_2(5x-2)/(x(x-1))=\log_24\n(5x-2)/(x(x-1))=4\n4x(x-1)=5x-2\n4x^2-4x=5x-2\n4x^2-9x+2=0\n4x^2-x-8x+2=0\nx(4x-1)-2(4x-1)=0\n(x-2)(4x-1)=0\nx=2 \vee x=(1)/(4)\n(1)/(4)\not \in D \Rightarrow \boxed{x=2}

Related Questions

What is the area of a circle with a diameter of 200cm? Use 3.14 for pie.
Show the check. 3B -12/3B + 12 = -2 + 1B + 6The solution to this problem is B=4But I don’t know how to check the answer, please help and explain, PLEASE!
In the above figure (not drawn to scale), Find ∠AEC. A. 150° B. 90° C. 75° D. 105°
6(f+4)+2(f+4)
Help me please I have no idea what the answer is​

What the missing length

Answers

the height is 7 the formula. B*H*.5 so 10*7=70, and the half of 70 is 35 or 75*.5=35

Which of the following are examples of exponential growth? Select all that applyShasta increases the amount she saves each month by 5%.

The population over the last decade of the Black Rhino is such that it is nearing extinction.

A tennis tournament starts with 64 participants. Each round, half the players are eliminated.

The amount of cell phone subscribers in a small town increases by 75% each year.

The price of a stock goes up 12% each year.

Answers

The correct answer for the question that is being presented above is this one: "Shasta increases the amount she saves each month by 5%; The price of a stock goes up 12% each year; The amount of cell phone subscribers in a small town increases by 75% each year."

1. Which of the following is the factored form of the expression: 3x2 – 4x? A. x(3x - 4)
B. x(3 – 4x)
C. (3x -1) (x -1)
D. (3x +1)(x -1)

2. Which is a completely factored form of the expression: x2 + 21x +20 ?

A. (x + 5)(x + 4)
B. (x + 10)(x + 2)
C. (x + 20)(x + 1)
D. (x + 21)(x - 1)

3. Which expression is factored form of 4x2 -9?

A. 2(x - 3)2
B. (x - 3)2
C. 2(x + 3)(x - 3)
D. (2x + 3)(2x - 3)

4. Below are factored forms of the expression: 12x3 – 36x2 . Which expression has the greatest common factor as the first term?

A. 3x (4x2 – 12x)
B. 4x2(3x -9
C. 12x2(x – 3)
D. 12x(x2 - 3x)
5. Adele’s lawn has an area of (x2 -5x -6) square feet and a length of (x + 1) feet. What is the width of the lawn in feet?

A. (x -6)
B. (x +6)
C. (x2 -4x -5)
D. (x2 -6x -7)

6. The expression below represents the area, in square meters, of a rectangle:
X2 + 5x -24
Which of the following pairs of expressions could represent the length and width, in meters, of the rectangle?

A. (x – 3) and (x + 8)
B. (x – 4) and (x + 6)
C. (x – 6) and (x + 4)
D. (x – 8) and (x + 3)

7. What is the complete factorization of 32 – 8z2?

A. -8(2 + z)(2 –z)
B. 8(2 + z)(2 – z)
C. -8(2 + z)2
D. 8(2 – z)2

8. What is the greatest common factor of: 12x2 , 24x2y2 , and 46xy?

A. 4x
B. 3x
C. 6x
D. 2x
9. Which expression is equivalent to: 2x2 -3x -35?

A. (2x + 7)(x - 5)
B. (2x - 7) (x + 5)
C. (2x - 5)(x + 7)
D. (2x + 5)(x - 7)

10. What are the factors of 81x2 + 36x + 4?

A. (9x + 2)(x +2)
B. (9x +2)(9x +2)
C. (9x -2)(9x -2)
D. (9x +2)(9x -2)

11. The top of a rectangular table has an area of: 18x2+ 69x +60.
The width of the table is 3x + 4. What is the length of the table?
(Show proof by multiplying – show your work)

12. Simplify: (x2 +2x)(5x -3)
A. 11x2 -3
B. 6x3 -6x
C. 5x3 + 7x2 – 6x
D. 5x3 – 13x2 -6x

13. Factor by grouping: 30g5 +24g3h – 35g2h2 - 28h3 Show your work!



14. Which is the correct way to factor the polynomial : x2 -16?

A. (x -4)(x -4)
B. (x -4)(x +4)
C. (x +4)(x -2)(x +2)
D. Not factorable

15. The area of a square painting is: 81p2 + 90p +25. What is the length of one side? Prove by multiplication – show your work.

Answers

1. 3x^2-4x=x(3x-4) - A.

2. x^2 + 21x +20=(x-x_1)(x-x_2)

Find the roots:

D=21^2-4\cdot 20=441-80=361, \ √(D)=19,\n \nx_1=(-21-19)/(2)=-20, \ x_2=(-21+19)/(2)=-1,

then

x^2 + 21x +20=(x+20)(x+1) - C.

3. 4x^2 -9=(2x)^2-3^2=(2x-3)(2x+3) - D.

4. 12x^3-36x^2=12x^2(x-3) - C.

5. x^2 -5x -6=(x-x_1)(x-x_2)

Find the roots:

D=(-5)^2-4\cdot (-6)=25+24=49, \ √(D)=7,\n \nx_1=(5-7)/(2)=-1, \ x_2=(5+7)/(2)=6,

then

x^2 -5x -6=(x-6)(x+1) and the width of the lawn is x-6 - A.

6. Since x^2 + 5x -24=(x+8)(x-3) the length and width are x+8 and x-3 - A.

7. 32 -8z^2=8(4-z^2)=8(2^2-z^2)=8(2-z)(2+z) - B.

8. 12x^2=2\cdot 2\cdot 3\cdot x\cdot x, \n24x^2y^2=2\cdot 2\cdot 2\cdot3\cdot x\cdot x\cdot y\cdot y , \n 46xy=2\cdot 23\cdot x\cdot y.

So the greatest common divisor is 2\cdot x=2x - D.

9. 2x^2 -3x -35=2(x-x_1)(x-x_2)

Find the roots:

D=(-3)^2-4\cdot (-35)\cdot 2=9+280=289, \ √(D)=17,\n \nx_1=(3-17)/(2\cdot 2)=-(7)/(2), \ x_2=(3+17)/(2\cdot 2)=5,

then

2x^2 -3x -35=2(x+(7)/(2))(x-5)=(2x+7)(x-5) - A.

10. 81x^2 + 36x + 4=(9x)^2+2\cdot 9x\cdot 2+2^2=(9x+2)^2 - B.

11. 18x^2+ 69x +60=3(6x^2+23x+20)=3\cdot 6(x+(5)/(2))(x+(4)/(3))=(6x+15)(3x+4), the length is 6x+15.

12. (x^2 +2x)(5x -3) =x^2\cdot 5x-x^2\cdot 3+2x\cdot 5x-2x\cdot 3=5x^3-3x^2+10x^2-6x=5x^3+7x^2-6x - C.

13. 30g^5 +24g^3h- 35g^2h^2 - 28h^3=(30g^5 +24g^3h)-(35g^2h^2+ 28h^3)=6g^3(5g^2+4h)-7h^2(5g^2+4h)=(5g^2+4h)(6g^3-7h^2).

14. x^2 -16=(x-4)(x+4) - B.

15. 81p^2 + 90p +25=(9p)^2+2\cdot 9p\cdot 5+5^2=(9p+5)^2, the length of one side is 9p+5.

Answer:

yes that is right

Step-by-step explanation:

usa test prep

A two-way frequency table is shown below that displays the relationship between age and preferred soft drink. We took a sample of 100 people and recorded the following results:Cola Rootbeer Dr. Fizz Total
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total 45 25 30 100


What is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer?
60%
55%
10%
5%

Answers

AGE                  Cola           Rootbeer       Dr. Fizz       Total
10–25 years       10                  5                    20            35
26–40 years       15                10                    10            35
41–55 years       20                10                      0            30
Total                   45                25                    30           100

Probability that a randomly selected person is 10-25 years old or prefers drinking rootbeer

Probability of 10-25 years old = 35/100 = 35%
Probability of drinking rootbeer = 25/100 = 25%

Probability of 10-25 years or perfers to drinking rootbeer
= 35% + 25% = 60%   1st option



What is the mixed number of 4/3

Answers

To find the mixed number:-

4/3 is an improper fraction.

How many times can 4 go into 3?

once, so the whole number is 1.

4-3 = 1

1 remainder, so 1 is the numerator.

1  1/3

Final answer:  1  1/3
4/3= 1 1/3

The final answer is 1 1/3~

Is -31/8 less than, greater than, or equal to -3.92

Answers

-31/8 equalss -3.88 so -3.88 > -3.92

Final answer:

-31/8 converts to -3.875 in decimal form. In the case of negative numbers, 'less than' refers to numbers further from zero. Therefore, -3.92 is 'less than' -31/8.

Explanation:

To answer this question, we first need to convert -31/8 into decimal form. Doing this, we get -3.875.

Now we can compare -3.875 and -3.92. When it comes to negative numbers, a number is 'less' if it is further from zero. In this case, -3.92 is further from zero than -3.875.

So, -31/8 is greater than -3.92. In other words, -3.92 is 'less than' -31/8.

Learn more about Number Comparison here:

brainly.com/question/32039153

#SPJ11