3. The functions f and g are defined by
[tex] f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2[/tex]

[tex]g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4[/tex]
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.​

Answer:

7

Step-by-step explanation:

Answer:

6 m

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x = \sqrt{ {10}^{2} - {8}^{2} } \\ \\ x = \sqrt{100 - 64} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: m[/tex]

Step-by-step explanation:

10² = 8² + x²

x² = 10² - 8²

x² = 36

x = √36

x = 6

Answer:

B

Step-by-step explanation:

+/- 7 is the sq root of 49

hope this helps

Answer: The answer is D (Mr. Johnson will earn $140 for 12 hours of work

Step-by-step explanation:

So with process of elimination we can safely say that for every hour Mr. Johnson will earn 12$.

So it is true that *A* e(amount earned)= 12h($12 made per hour)

And if *B* Mr. Johnson makes $12 per hour then in 4.5 hours he will make $54

We also know for a fact *C* Mr.Johnson earns $12 per hour

but in 12 hours Mr. Johnson will make $144 not $140 so *D* is incorrect

Answer:

$21.04

Step-by-step explanation:

Steps to take to derive the answer

Price after increase increase (100% + increase in price) x purchase price of the jeans

(100% + 65%) x 15

165% x 15

1.65 x $15 = $24.75

Price after the decrease in price = (100% - percentage decrease in price) x price after the 65% increase in price

(100% - 15%) x $24.75

85% x $24.75

0.85 x $24.75 = $21.04

The statement which describes the given line the best is required.

The correct statement is an increasing line that passes through [tex](0,4)[/tex]

The given equation is [tex]2y=4x+8[/tex]

Two points of the line are

[tex]x=0[/tex]

[tex]2y=0+8\\\Rightarrow y=4[/tex]

[tex](0,4)[/tex]

[tex]y=0[/tex]

[tex]0=4x+8\\\Rightarrow x=-2[/tex]

[tex](-2,0)[/tex]

The line passes through points [tex](0,4),(-2,0)[/tex]

The slope intercept form of the line is

[tex]y=\dfrac{4x+8}{2}\\\Rightarrow y=2x+4[/tex]

The slope is [tex]2[/tex]

Since, the slope is positive the line is increasing.

Learn more about equation of lines:

https://brainly.com/question/13763238

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

Answer:

23.26

Steps:

AC=√(10²+21²)

AC=√(100+441)

AC=√541

AC≈23.26

it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

Answer:

bobo ka mag isip ka mag sagot ka magisa mo

Answer:

A

Step-by-step explanation:

Answer:

F, Vertical angles.

Step-by-step explanation:

If you need extra visuals, this might help:

"The angles opposite each other when two lines cross. They are always equal.

In this example a° and b° are vertical angles.

"Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles."

Answer:

d

Step-by-step explanation:

Answer:

Yes!

Step-by-step explanation:

The y = -17

The x = 18

y = x-35

-17 does equal 18 - 35

Hope that helps!

Step-by-step explanation: no it dosent i dont think

Answer:

17

Step-by-step explanation:

Well you have to get x by itself so....

subtract 8 from both sides

25 -8 = 17 there is your answer

Hey there!

x + 8 = 25

SUBTRACT 8 to BOTH SIDES

x + 8 - 8 = 25 - 8

SIMPLIFY IT!

x = 25 - 8

x = 17

Therefore, the answer should be: x = 17

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The probability of selecting a girl is 52%

The given parameters are:

Boy = 12

Girl =13

The probability of selecting a girl is:

P(Girl) = Girl/Total

This gives

P(Girl) = 13/(12 + 13)

Evaluate

P(Girl) = 52%

Hence, the probability it will be a girl is 52%

Read more about probability at:

https://brainly.com/question/251701

#SPJ1

Answer:

268.083

Step-by-step explanation:

volume of a sphere = 4/3 times pi times r^3. 4/3(pi)(4^3) = 268.083

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

Answer:

31-24x/2x-5

Step-by-step explanation:

multiply: (16-24x+15)/(2x-5)

calculate: (31-24x)/(2x-5)

write the division as a fraction:  31-24x/2x-5

Answer:

the answer is 2.2

Step-by-step explanation:

I used a calculator

Answer:

2 1/5 I guess

Step-by-step explanation:

If it's wrong then my phone's stu.pid

Answer:45.3 ft

Step-by-step explanation: Is your answer.

Answer:

87+52=139 180-139 = 41

41 is the measurement of the other side

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

y = -1/6x + 2

Step-by-step explanation:

Put it in point-slope form:

y - 3 = -1/6(x + 6)

y -3 = -1/6x - 1

y = -1/6x + 2

Answer:

the answer is x=45⁰ y=45⁰

may I help you

Answer:

bce

on edg

Step-by-step explanation:

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12