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3 years ago

How do i do this?!?! its due tomorrow helpppppp

Mathematics

1 answer:

3241004551 [841]3 years ago

6 0

Consider for each point how far it is above (or below) the horizontal line y=2. Then plot its image the same distance below (or above) that line.

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The ratio for 12 packs at 4 for $10

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3 years ago

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What is the expanded form for 102,200

solmaris [256]

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Which equations illustrate the commutative property of addition?

steposvetlana [31]

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8 0

3 years ago

The rate of inflation is 3%. The cost of an item in future years can be found by iterating the function c(x)=1.03x. Find the cos

emmainna [20.7K]

year 1

cost = 1.03 (1500) = 1545

put 1545 in for x in year 2

year 2

1.03 * 1545 = 1591.35

put in 1591.35 in for x in year 3

year 3

1.03 *1591.35=1639.0905

round to the nearest cent

cost in three years: $1639.09

Choice C

6 0

3 years ago

I really need help with this. Can anyone help me please?

I am Lyosha [343]

Answer:

$f(x)=(x-3)(x^2+4x+8)$

Step-by-step explanation:

A polynomial function is given by the form:

$f(x)=a(x-p)(x-q)...$

Where a is the leading coefficient, and p and q are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

And our leading coefficient a = 1.

Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

$f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))$

Simplify:

$f(x)=(x-3)(x+2-2i)(x+2+2i)$

Expand the second and third factors:

$\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8 \end{aligned}$

Therefore, our polynomial function of least degree and the given zeros will be:

$f(x)=(x-3)(x^2+4x+8)$

6 0

3 years ago