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3 years ago

Factorise this expression as fully as you can 12x^3-9x^2

1 answer:

7 0

Exponent rule added:

12xx^2 -9x^2

rewrite 9 as 3 x 3, rewrite 12 as 3 x 4

3 * 4xx^2 - 3 * 3x^2 ( * is multiply)

factor common terms:

3x^2(4x-3) - answer.

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When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

2 years ago

Read 2 more answers

Find the median of the following numbers:<br> 26, 18, 28, 26, 14, 20

Lady_Fox [76]

Answer:

Step-by-step explanation:

5 0

3 years ago

The volume of a tissue box is 288in3. If the box has a width of 6 inches and it is 4 inches high, how long is the box?

Mrac [35]

Answer:

Step-by-step explanation:

divide the total by 4, when you get your answer, divide that by 6, what is you remainder?

8 0

3 years ago

What are the roots of the quadratic function f(b)=b^2-75

Ivahew [28]

Set f(b) = b^2 - 75 = to 0 and solve for b:

b^2 = 75
b^2 = 25(3)
b = plus or minus sqrt(25[3]) = plus or minus sqrt(25)*sqrt(3) = plus or minus 5 sqrt(3).

5 0

3 years ago

Carlos and Maria drove a total of 228 miles in 4.6 hours. Carlos drove the first part of the trip and averaged

aleksklad [387]

Answer:

around 228

Step-by-step explanation:

8 0

2 years ago