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qwelly [4]
3 years ago
13

The distance covered by an object is governed by the expression x3 + 3x2 + 2x. If the time taken to cover this distance is given

by x + 1, what is the expression that governs the speed of the object?
Mathematics
2 answers:
Arturiano [62]3 years ago
8 0
The answer is <span>x² + 2x.
The distance of an object is governed by the expression </span>x³+3x²+2x. 
Speed goes by speed = distance/time. 
Just take distance and the speed, divide them, and you got x² + 2x.

Hope this helps! :)
denis23 [38]3 years ago
5 0

Answer:

Expression for speed = x²+2x

Step-by-step explanation:

Speed = Distance/Time

Distance = x³+3x²+2x = x (x²+3x+2) = x (x+1)(x+2)

Time = x+1

Speed =\frac{x (x+1)(x+2)}{x+1} =x(x+2)=x^2+2x

Expression for speed = x²+2x

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Can someone please help with this question of what the explicit rule is.
Lyrx [107]

Answer:

f(n)=-6n+36

Step-by-step explanation:

The sequence is arithmetic because it is going down/up by the same number each time.

It is going down by 6.

This tells us that the common difference is -6.

The first term is 30.

The following is the explicit form of an arithmetic sequence:

f(n)=f(1)+d(n-1)

where f(1) is the first term and d is the common difference.

So we have f(1)=30 and d=-6.

Plugging this information into our explicit formula:

f(n)=30+-6(n-1)

f(n)=30-6n+6

f(n)=30+6-6n

f(n)=36-6n

f(n)=-6n+36

Let's check it.

The first term is f(1)=30:

f(1)=-6(1)+36=-6+36=30 which is what the pattern reads for the first term.

The second term is f(2)=24:

f(1)=-6(2)+36=-12+36=24 which is what the pattern reads for the second term.

The third term is f(3)=18:

f(3)=-6(3)+36=-18+36=18 which is what the pattern reads for the third term.

The fourth term is f(4)=12:

f(4)=-6(4)+36=-24+36=12 which is what the pattern reads for the fourth term.

This rule certainly does generate the terms of our sequence as we have shown above.

The explicit form with no doubt is f(n)=-6n+36.

5 0
3 years ago
I need the answer plz I’ll give brain
Aleksandr [31]
The answer to this problem would be A, $1.15. You get this answer by taking the total cost and dividing that by how many yards of fabric, for example let’s take the first one. $2.53 divided by 2.2 would be $1.15, same goes for the rest.
3 0
4 years ago
Which graph represents the equation x2 = 8y?
UNO [17]
Direction: Opens up
Vertex: (0,0)
Focus: (0,2)
Axis of Symmetry: x=0
Directrix: y=-2
4 0
3 years ago
Read 2 more answers
Ms Tulips bought 56.12 dollars worth of groceries. However,she had coupons worth 9.85 dollars. How much did she spend for the gr
gregori [183]

Isn't it 56.12 - 9.85?

If so,

Answer:

48.27 dollars.

Hope this helps!

Hope Your Thanksgiving Goes Well, Here's A Turkey!



5 0
3 years ago
Find the product of x^2+2x-4 and 3x.
vladimir1956 [14]

3x({x}^{2} + 2x - 4)

3x \times  {x}^{2}  =  {3x}^{3}

3x \times 2x = 6 {x}^{2}

3x \times  - 4 =  - 12x

b. \: 3 {x}^{3}  + 6 {x}^{2}  - 12x

7 0
3 years ago
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