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krek1111 [17]
3 years ago
5

Is the following expression true or false? Show your work.

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring  x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4)  •  (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 -  (x^2 - 16)^2  = 0

Step 2: Evaluate the following:

(x+4)2   =    x^2+8x+16

(x-4)2   =    x^2-8x+16  

(x^2-16)2   =    x^4-32x^2+256

(x^2+8x+16)  (x^2-8x+16  ) -  (x^4-32x^2+256 )

0 = 0

Hence True

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Lina packs 3-inch cups into boxes measuring 12 inches by 15 inches . How many cups fit in one box
Dahasolnce [82]

Answer:

The answer is 60 cups

Step-by-step explanation:

First you need to find the area of the box which would be

12in x 15in =180in

The second step wpuld be to divide the area of the box by how tall the cups are

180/3 = 60

5 0
3 years ago
What is 20% of 100 in whole money
Kryger [21]
%=percent
percent means parts out of 100
20%=20/100
'of' means multiply

20% of 100  units means
20/100 times 100 units=2000/100 units=20 units
3 0
3 years ago
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What is the inverse of the function g(x) = x^3/8 + 16 ?
lesya692 [45]

Answer:

\hookrightarrow \: { \rm{f(x) =  \frac{ {x}^{3} }{8}  + 16}} \\

• let f(x) be m:

{ \rm{m =  \frac{ {x}^{3} }{8}  + 16}} \\

• make x the subject of the function:

{ \rm{8m =  {x}^{3}  + 128}} \\  \\ { \rm{ {x}^{3} = 8m - 128 }} \\  \\ { \rm{ {x}^{3} = 8(m - 16) }} \\  \\ { \rm{x =  \sqrt[3]{8}  \times  \sqrt[3]{(m - 16)} }} \\  \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}

• therefore:

{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\

6 0
3 years ago
What is the slope of a line with the equation y=5x+2/5
igomit [66]
The slope-intercept form: y = mx + b

m - a slope

y = 5x + 2/5

Answer: The slope m = 5.
4 0
3 years ago
HELP NOWWWWW PLEASEEEEE<br> How many 1/3's are in 1 and 2/3?
kiruha [24]

Answer:

5 thirds

Step-by-step explanation:

Make 1 2/3 into a improper fraction. Now you have 5/3. 5/3-(1/3*5)=0

Therefore, 5x1/3=5/3=1 2/3

7 0
3 years ago
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