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Andreas93 [3]
3 years ago
9

Consider the sequence of steps to solve the equation: 3(x − 4) + 5x = 9x − 36 Given ⇒ 3(x − 4) + 5x = 9x − 36

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer:

A) Distributive Property.

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac . Here we have 3(x - 4) = 3x - 12.

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If f(x) = - 4x and g(x)= 5x?, find<br> a. (f+g)(x)<br> b.(-9)(x)<br> C. (fog)(x)
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3 years ago
Write a polynomial in factored form that has the given zeros:
wlad13 [49]

Answer:

f(x) = (x + 4)^2*(x - 5)^3

Step-by-step explanation:

For a polynomial P(x) with zeros (or roots):

x₁, x₂, ..., xₙ

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P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now, some of these roots can be repeated.

For example if x₁ = x₂

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And we write the polynomial as:

P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)

Now, if we have a polynomial with the roots (or zeros):

Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)

Zero at 5 with a multiplicity of 3 (we have the root x = 5  3 times)

(And a leading coefficient A =  1, I assume)

This polynomial will be written as:

f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)

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f(x) = (x + 4)^2*(x - 5)^3

The correct option is the third one:

4 0
3 years ago
A wheel of diameter 50.0 cm starts from rest and rotates with a constant angular acceleration of 2.00 rad/s^2. At the instant th
Kruka [31]
R = 25 cm = 0.25 m
α = 2.00 rad /s²
T(heta) = 4 π
ω = T(heta)/ t
ω = α t
α t = 4 π / t
t ² = 2 π
t = √ ( 2π )  = 2.5 s
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v = ω r = 5 · 0.25 = 1.25 m/s
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(2)    a (rad) = v² / r = ( 1.25 )² / 0.25 = 0.15625 / 0.25 = 6.25 m/s²
8 0
3 years ago
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