MATHEMATICS HIGH SCHOOL

I need help on this question

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 5x² - 3 - ( x² - 4x - 8) ← distribute parenthesis by - 1

= 5x² - 3 - x² + 4x + 8 ← collect like terms

= (5x² - x² ) + 4x + (- 3 + 8)

= 4x² + 4x + 5

Answer 2

Answer:

Answer:

The answer is C. (f-g)(x) simplifies to 4x²+4x+5

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What is the value of the expression? 19.2+(–7+3.8)a. 16
b. 24
c. 29
d. 30

Answers

$19.2+(-7+3.8)=19.2+(3.8-7)=19.2+(-3.2)\n\n=19.2-3.2=\huge\boxed{16}\leftarrow\boxed{a}$

The first thing I would do to solve this is do the () so -7+3.8=-3.2 +19.2=16 So your answer would be A. I hope this helps. :)

What is the square root of 1125?

Answers

$√(1125)$ has no rational solution, if you are looking for any answer then it would be 33.541019662

the square root of 1125 is 15 $√(5) .$

Sixty percent of Company A’s employees are considered top performers. Fifty five percent of Company A’s employees are in a rigorous training program. Assuming these two statements are true are most of Company A’s employees in the rigorous training program considered top performers?

Answers

Answer:33 %

Step-by-step explanation:

Given

60 % of company A's employees are considered top performer

55 % of company A's employee are in a rigorous training program.

Now Company A's employees in the rigorous training program considered top performer are $0.60* 0.55=0.33$

That is 33 % of employee is in rigorous training and top performers.

not exactly. there are still 40 percent of the employees that are not top performers. for all you know those 40 percent could make up the majority of the employees in the training program

(2^6 x 9^6 ) divided 18^14

Answers

Answer:

324

Step-by-step explanation:

Answer:

(2^6)(x^9^6) / 1814

Simplifies to:

1 / 5856458868470016^x531441

Step-by-step explanation:

Help asap please!Add 4p^2+6 / 4p^2 + 2p-2 / 10p

Which statements are true about adding the rational expressions? Check all that apply

The least common denominator is 20p
.
The first fraction rewritten with the LCD is 20p^2+30 / 20p^2

The second fraction rewritten with the LCD is 4p - 4 / 20p

The sum is 24p^2-,4p+30 / 20p^2 = 12p-2p+15 / 10p^2

The sum is a rational expression.

Answers

I have to rewrite the expressions because they look very confusing.

1) The given fractions to add are:

4p² + 6        2p - 2
------------ + ------------
     4p²             10p²

2) The statements to asses are:

A) The least common denominator is 20p
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

D) The sum is (24p² -4p +30 ) / 20p² = (12p-2p+15) / 10p^2

E) The sum is a rational expression.

This is the result for each statement.

A) The least common denominator is 20p

FALSE: THE LCD IS 20p², because it the least expression that contains all the prime factors of both denominators: 4p² and 10p.

See that you cannot divide 20p by 4p² but you can divide 20p² by 4p² and 10 p. So, 20p is not a common denominator.
.
B) The first fraction rewritten with the LCD is (20p² +30) / 20p²

TRUE: you get this expression from the first fraction by multiplying both numerator and denominator by 20p² / 4p² = 5:

(4p² + 6)×5 = 20p² + 30

(4p²)×5 = 20p²

=>

20p² + 30
--------------
      20p²

C) The second fraction rewritten with the LCD is (4p - 4) / 20p

FALSE: you have to multiply both numerator an denominator by 20p² / 10p = 2p

(2p - 2) × 2p = 4p² - 4p

10p × 2p = 20p²

So, the second fraction rewritten with the LCD is:

4p² - 4p
-----------
    20p²

D) The sum is (24p² - 4p +30 ) / 20p² = (12p-2p+15) / 10p²

TRUE

20p² + 30        4p² - 4p         24p² - 4p + 30
-------------- +   --------------- = ----------------------
      20p²              20p²                    20p²

And when you simplify the last fraction dividing by 2 you get:

12p² - 2p + 15
-----------------------
          10p²

E) The sum is a rational expression.

TRUE:

The sum of rational number has the closure property which means that by adding rational expression you will always ge a rational expression.

the 2nd, 4th, and 5th statements are correct. Let me know if you have questions on how to do the problem..

If ABC = DEC, angle B = 2x, angle C = 48°, and angle D = 74°. x=?

Answers

Answer:

37°

Step-by-step explanation:

angle B = angle D (alternate angle)

2X = 74°

X = 37°

Answer:

Step-by-step explanation:

right in acellus

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