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den301095 [7]
3 years ago
8

One half the difference of the cube of a number, x, and three

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

(1/2)(x³ - 3)

Step-by-step explanation:

That would be   (1/2)(x³ - 3).

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I need some help with this one. Please give it a go! Thank you for your time!
LekaFEV [45]

Answer:

A) 3x^{2} - x - 4

B) -3x^{2} -4x -5

Step-by-step explanation:

5 0
2 years ago
When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f
nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

4 0
2 years ago
What is 12 + 4y = -4x
Ivan

Answer:

ummmm

Step-by-step explanation:

u already answer ur own question tho?

4 0
2 years ago
A machine packs 2/5 of a box every 1/2 minute. What is the number of boxes per minute packed? Why?
Alla [95]
If it is packed 2/5 in 1/2 minutes

1 minute =2/5*2=4/5 or 0.8 boxes/min
4 0
3 years ago
If f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function ​
Irina-Kira [14]

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)

4 0
3 years ago
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