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3 years ago

What is the domain and range of f(x)= |x+6|

Mathematics

2 answers:

hodyreva [135]3 years ago

5 0

Answer:

The answer is option D

Step-by-step explanation:

andreev551 [17]3 years ago

4 0

as the function is polynomial domain exist for all real number ie (-infinity to + infinity) but range exist (0 to +infinity ) due to modulus negetive range do not exist

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Find the surface area of a hemisphere that has a volume of 486π <img src="https://tex.z-dn.net/?f=cm%5E%7B3%7D" id="TexFormula1"

Xelga [282]

$\textit{volume of a hemisphere}\\ V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=486\pi \end{cases}\implies 486\pi =\cfrac{4\pi r^3}{6} \implies 6(486\pi )=4\pi r^3 \\\\\\ \cfrac{6(486\pi )}{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r} \\\\[-0.35em] ~\dotfill$

$\textit{surface area of a hemisphere}\\\\ SA=4\pi r^2\cdot \cfrac{1}{2}\implies \stackrel{\textit{we know that r = 9}}{SA=2\pi (9)^2}\implies SA=162\pi \implies SA\approx 508.94$

6 0

2 years ago

Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first

raketka [301]

The value of z if x = 36 and y = 6 is 42

<h3>Direct and inverse variation</h3>

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To find z when x = 36 and y = 6, we will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

Learn more on variation here: brainly.com/question/6499629

#SPJ1

6 0

2 years ago

Read 2 more answers

A newsboy notices he has four times as many dimes as quarters. if his dimes and quarters total$1.95, how many of each has he?

MrRissso [65]

D=4q
25q+10d=195
5q+2d=39

sub 4q foro d
5q+2(4q)=39
5q+8q=39
13q=39
divide 13
q=3

d=4q
d=4(3)
d=12

12 dimes
3 quarters

4 0

3 years ago

Is 4/6 bigger than 9/12

Nostrana [21]

Answer:

Step-by-step explanation:

4/6 is also equal to 8/12

9/12 is bigger than 8/12

3 0

3 years ago

the product of 8 and a number , increased by 52, is equivalent to the product of 12 and the sum of the number and 2 . find the n

Step2247 [10]

8n+52=12(n+2)

distribute

8n+52 = 12n+24

subtract 8n from each side

52=4n +24

subtract 24 from each side

28 = 4n

divide by 4 on each side

7=n

8 0

3 years ago