Find f (g (x)) if f(x)=sqrtx+8; g (x)=8x-12

Answers

Answer 1

Answer: f(g(x)) = f(8x-12)

$f(8x-12) = √((8x-12) +8) = √(8x -12 + 8) = \boxed{√(8x -4)}$

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Given f(t)=t to the power of 4 +t² -5, find the value of f(b) - f(-b)

Answers

$f(t)=t^4+t^2-5\n \n f(b)-f(-b)=b^4+b^2-5-[(-b)^4+(-b)^2-5]\n \n f(b)-f(-b)=b^4+b^2-5-b^4-b^2+5\n \n \boxed{f(b)-f(-b)=0}$

$f(b)-f(-b)=b^4+b^2-5-((-b)^4+(-b)^2-5)\n f(b)-f(-b)=b^4+b^2-5-(b^4+b^2-5)\n f(b)-f(-b)=b^4+b^2-5-b^4-b^2+5\n f(b)-f(-b)=0$

You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?A. $30,000/year
B. $15.00/hour
C. $30,000/year with a 10% bonus
D. $15.00/hour and a $2,000 bonus at the end of the year

Answers

The correct answer for the question that is being presented above is this one: "D. $15.00/hour and a $2,000 bonus at the end of the year." You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In this situation, you will earn the most: $15.00/hour and a $2,000 bonus at the end of the year

Which product is negative?(-3/8)(-5/7)(1/4)

(3/8)(-5/7)(-1/4)

(3/8)(5/7)(1/4)

(-3/8)(-5/7)(-1/4)

Answers

Answer:

$( - ( 3)/(8) )( - (5)/(7) )( - (1)/(4) )$

Step-by-step explanation:

$( - ( 3)/(8) )( - (5)/(7) )( - (1)/(4) )$

$(3)/(8) * (5)/(7) * (- (1)/(4) )$

$(3 * 5)/(8 * 7) ( - (1)/(4) )$

$- (15)/(56 * 4)$

$- (15)/(224)$

Hope it is helpful.....

In a city school, 60% of students have math class, 55% have science class, and 35% have math and science class this semester. What is the probability (rounded to the nearest whole percent) that a randomly selected student will have science class this semester, given that the student is in math class?58%
20%
80%
64%

Answers

58% as a result of calculation 35 / 60 * 100%

If x is a negative number, which of the following could equal the absolute value of x? Select all that apply.A. -2
B. 2
C. 4
D. 6

Answers

The absolute value of a number is its distance from zero. There can not be a negative distance from zero. Therefore, all absolute values are positive, no matter if the value inside them is positive or negative. So, B, C, and D can each be the absolute value of some number x, because they are all positive.

Hope this helps! :)

the answer to your question is B, C, and D.

What is three fractions equivalent to 3/11

Answers

3/11 *2 = 6/22
3/11 *3= 9/33
3/11 *4 = 12/44

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Please simplify and show your work please

A line that passes through the point (–1, 3) has a slope of 2. Find another point on the line.a. (–3, 2) b. (1, 4) c. (1, 5) d. (0, 5)

ʙʀᴀɪɴʟɪᴇsᴛ!Solve for h:h/4 = -7

How many solutions does the equation 9(x – 3) = 9x – 27 have?