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3 years ago

How do you factorise fully x³-x

Mathematics

1 answer:

Harman [31]3 years ago

4 0

Answer:

=x³-x

=x(x²-1)

=x(x²-1²)

=x(x+1)(x-1)

hope it helps.

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The equation below shows the total volume (V),in cubic units, of 2 identical boxes with each side equal to s units:

mrs_skeptik [129]

A. 21.0 cubic units
2 × 3.5 × 3

8 0

3 years ago

Simplify (x + 3)(x − 3)

DerKrebs [107]

Answer:

x^2 -9

Step-by-step explanation:

(x + 3)(x − 3)

FOIL

first x*x =x^2

outer -3x

inner 3x

last -3*-3 =-9

Add together

x^2 -3x+3x -9

Combine like terms

x^2 -9

7 0

3 years ago

About how many years will it take for $4000 to double at a simple interest rate of 9%

Aleksandr [31]

Answer:

about 11 years

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\ years\\ P=\$4,000\\ A=\$8,000\\r=9\%=9/100=0.09$

substitute in the formula above

$8,000=4,000(1+0.09t)$

solve for r

$2=(1+0.09t)$

$0.09t=2-1$

$0.09t=1$

$t=11.1\ years$

8 0

4 years ago

Point B has coordinate B(1, -1).

kifflom [539]

Answer: B' is (3, -3)

Step-by-step explanation:

When we have a point with coordinate (x, y) and we do a dilation (around the center) with a scale factor of A, the coordinate of the new point will be:

A*(x,y) =(A*x, A*y)

Here our point is (1, -1) and the factor is 3, so the new point will be:

(3*1, 3*-1) = (3, -3)

5 0

4 years ago

A sphere has a diameter of 32 ft. what is it’s surface area

LuckyWell [14K]

Answer:

3216.99

Step-by-step explanation:

A = 4 $\pi$ $r^{2}$

d = 2r

A = $\pi$ $d^{2}$

= $\pi$ * 32^2 = 3216.99

4 0

4 years ago