All categories

3 years ago

Factor the expression. d2 – 4d + 4

1 answer:

3 0

(D+2)2
Because d2 is just 2*d so it’s 2d-4d+4 subtract 2d from 4d and you get (2d+4) and you can factor out a 2 from that 2(d+2)

You might be interested in

In math i kind of need to know if a whole number is greater then a whole number and decimal.Example:7.5 and 7. Witch one is grea

nydimaria [60]

Answer:

7.5

Step-by-step explanation:

It is greater because it is closer to 8.

4 0

3 years ago

The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The

jarptica [38.1K]

Answer:

$P(x)=-5x^3-40x^2-45x+90$

Step-by-step explanation:

Equation of a Polynomial

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

$P(x)=a(x-x1)(x-x2)(x-x3)$

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

$P(x)=a(x+6)(x+3)(x-1)$

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

$P(x)=-5(x+6)(x+3)(x-1)$

We must write it in standard form, so we have to multiply all of the factors as follows:

$P(x)=-5(x^2+6x+3x+18)(x-1)$

$P(x)=-5(x^2+9x+18)(x-1)$

$P(x)=-5(x^3-x^2+9x^2-9x+18x-18)$

$P(x)=-5(x^3+8x^2+9x-18)$

$\boxed{P(x)=-5x^3-40x^2-45x+90}$

3 0

2 years ago

Solve the equation r ÷ (-8) =5

krok68 [10]

Answer:

r=-40

Step-by-step explanation:

r/-8=5

times -8 on both sides

5 times -8 =-40

r=-40

8 0

3 years ago

Read 2 more answers

The coordinates R(1, -3), S(3, -1) T(5, -7) form what type of polygon?

Kobotan [32]

The coordinates R(1, -3), S(3, -1) T(5, -7) form a triangle. A triangle is a polygon that has 3 sides and all the angles add up to 180°.

8 0

2 years ago

If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe

Natalka [10]

Answer:

They encircle the planet $3.76\times 10^{11}$ times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is $6.022\times 10^{23}$

Thus, the number of dust particles is:

$2.5\times 6.022\times 10^{23}=15.055\times 10^{23}$

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: $10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m$

If we line up the particles the distance they could cover is:

$15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}$

Circumference in meters:

$40,076km\times \frac{1000m}{1km}=40,076,000 m$

Therefore,

$\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}$

Hence, they encircle the planet $3.76\times 10^{11}$ times.

8 0

3 years ago