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mart [117]
3 years ago
9

The height of the box is 6 inches. the length of the box is 14 inches and the width of the box is 4 inches.

Mathematics
1 answer:
Amanda [17]3 years ago
5 0
The answer would be C because to find surface area you have to do this: How many faces does the shape have? 6. What are the faces? Front/Back Left/Right Top/Bottom. So then you would find out what Front/Bottom is so you look at the front shape what's the base of it? 14 inches. What's the height of it? 6 inches. 14×6 is 84 now you add 84 and 84 because front ANDROID back so it's 168. Save that number now you do the same to the other sides and add up all the answers at the end to find the surface area. DONT FORGET THIS IS NOT FOR TRIANGULAR PRISMS!
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If m(x)=x+5/x-1 and n(x)=x-3 which function has the same domain as (m•n)(x)
worty [1.4K]
Consider the functions m and n:


i) m(x)=\frac{x+5}{x-1}   for x≠1.

the domain of m is  all the real numbers except 1.


ii) n(x)=x-3 is a polynomial function, because x-3 is a linear polynomial. 

The domain of any polynomial function is all real numbers. To determine the Range of this function, let c be a value in the range:

x-3=c, then x=3+c.

so if we want the function to produce c, we just set x=3+c, check:

n(3+c)=(3+c)-3=c.

This means that the Range of n is all real numbers.


What this means, is that the input (x) of the function n(x) can be any real number, and the output (n(x)) can also be any number.

so let n(x)=a, consider m(a):

m(a)=(a+5)/(a-1), clearly a≠1, this means n(x)=x-3≠1, that is x≠-4
 

This means that the domain of the composed function, m(n(x)) =  say f(x), 

is all Real numbers except 4.


Check: letting x be 4, would mean n(4)=4-3=1

which would mean m(n(4))=m(1)=(1+5)/(1-1)=6/0, which makes no sense.


Answer: Any function with domain R-{4}, has the same domain of (mon)(x) 

6 0
3 years ago
Finding values or<br> k(x) = x - 2<br> h(x) = x2 +1<br> (h + k)(2) =
Serjik [45]

Answer:

<h2>(h + k)(2) = 5</h2>

Step-by-step explanation:

(h+k)(x)=h(x)+k(x)\\\\\bold{METHOD\ 1:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(k+h)(2)=h(2)+k(2)\\\\\text{Calculate}\ h(2)\ \text{and}\ k(2).\\\text{Put}\ x=2\ \text{to the equations of the functions}\\\\h(2)=2^2+1=4+1=5\\k(2)=2-2=0\\\\\text\\\\\text{Substitute:}\\\\(h+k)(2)=5+0=5

\bold{METHOD\ 2:}\\\\k(x)=x-2,\ h(x)=x^2+1\\\\(h+k)(x)=h(x)+k(x)=(x^2+1)+(x-2)=x^2+x-1\\\\(h+k)(2)-\text{put}\ x=2\\\\(h+k)(2)=2^2+2-1=4+2-1=6-1=5

5 0
2 years ago
Value of this problem?
Rudik [331]
\frac{4^3\times4^{-1}\times5^{-2}}{4^4\times5^{-3}\times5^0}=\frac{4^{3-1}\times5^{-2}}{4^4\times5^{-3+0}}\\=\frac{4^{2}\times5^{-2}}{4^4\times5^{-3}}=4^{2-4}\times5^{-2-(-3)}\\=4^{-2}\times5^{1}=\frac{5}{4^2}\\=\frac{5}{16}
5 0
2 years ago
A) 5.(-3).(-4) =
Fofino [41]
A) 5×(-3)×(-4)=60
B) 1×(-7)×2=-14
C) 8×(-2)×2=-32
D) (-2)×(-4)×5=40
E) 3×4×(-7)=-84
F) 6×(-2)×(-4)=48
7 0
3 years ago
What is the roasting time for a<br> 12-pound turkey?
NeX [460]
The roasting time for a 12 pound turkey is 3 hours
5 0
2 years ago
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