MATHEMATICS HIGH SCHOOL

The function f is defined by f(x) = (x − 2) 2 − 3 for x > −2. The function g is defined by g(x) = 2x+6 x−2 for x > 2. Find fg(7).

Answers

Answer 1

Answer:

Answer:

$fg(7)=143.95$

Step-by-step explanation:

We are given that

$f(x) = (x -2)^2 -3$ for x > −2

$g(x) = 2x+6x^(-2)$ for x > 2

We have to find fg(7)

$fg(7)=f(g(7))$

$=f(2(7)+6(7)^(-2))$

= $f(14+(6)/(49))$

= $f((692)/(49))$

692/49>-2

fg(7)= $((692)/(49)-2)^2-3$

= $146.95-3$

Hence, $fg(7)=143.95$

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2. Given the following functions f(x) and g(x), solve (f + g)(5) and select the correct answer below:f(x) = 8x − 13 g(x) = x − 9 23 27 31 40
What is the average rate of change from x = −4 to x = 1

Answers

Answer: On Friday, he spend the least amount of time on the running machine.

Step-by-step explanation:

Since we have given that

Monday 0.3 = $0.3* 100\%=30\%$

Tuesday = 15%

Wednesday = $(1)/(6)* 100\%=16.67\%$

Thursday = $0.2* 100\%=20\%$

Friday = $(1)/(8)* 100\%=12.5\%$

Hence, we can compare all the days, and we get that

On Friday, he spend the least amount of time on the running machine.

Thursday sonnnnnnnnnnnnn

John has a large number of pennies, dimes, and quarters. How many ways can he make $1.00out of his coins? Note that order doesn’t matter.

Answers

Answer:

28 ways

Step-by-step explanation:

28 ways

Solve the linear equation 2.25 – 11j – 7.75 + 1.5j = 0.5j – 1.

Answers

2.25-11j-7.75+1.5j=0.5j-1 -5.5-9.5j=0.5j-1 10j=-4.5 j=-0.45=9/20

Answer:

j = –0.45

Step-by-step explanation:

just got it right

Given the points A(0, 0), B(e, f), C(0, e) and D(f, 0), determine if line segments AB and CD are parallel, perpendicular or neither. a.parallel
b.perpendicular
c.neither

Answers

The slope:
m = rise / run;
For the line segment AB:
m AB = (y 2 - y 1) /(x 2 - x 1) = ( f - 0 ) / ( e - 0 ) = f / e
For the line segment CD:
m CD = ( 0 - e ) / ( f - 0 ) = - e / f
m CD = - 1 / m AB
Answer:
The lines are B ) perpendicular

Answer:

b.perpendicular

Step-by-step explanation:

Could someone help me with number 3?

Answers

Answer:X=40

Step-by-step explanation:

3inx+2in(4)=in(128)

Step 1: Add -8in to both sides.

3inx+8in+−8in=128in+−8in

3inx=120in

Step 2: Divide both sides by 3

then you will get your answer

solve for x by simplifying both side of the equation the isolating the variable.

x = 8/3 + 128/3in

What is the chance of rolling a 4 with a single die three times in a row

Answers

The key thing to remember when you're working a problem like this is that
the cube has no memory ... it doesn't know what happened on the last roll,
so the chance of any particular thing happening on the 2nd roll, or on the
100th roll, is the same as it was on the first roll.

Probability of success = (number of ways to succeed) / (total possibilities)

Number of ways for a 4 to come up . . 1
Total possible results of the roll . . . . . 6

Probability of rolling a 4 . . . . . 1 / 6 .

Probability of rolling two 4s . . . (1/6) x (1/6)

Probability of rolling three 4s . . (1/6) x (1/6) x (1/6) = 1/216 = about 0.46% .

The probability of rolling 4 in one roll is $(1)/(6)$ .
So the probability of rolling 4 three times in a row is $(1)/(6)\cdot(1)/(6)\cdot(1)/(6)=(1)/(216)$

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