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Digiron [165]
4 years ago
7

F(x) = x3 - 3x2 + 4 = 0 For the equation given, 2 has a multiplicity of? 1, 2, 3

Mathematics
2 answers:
Kruka [31]4 years ago
3 0
3 It's the highest power.
Margarita [4]4 years ago
3 0
Multiplicity is how many times
a certain solution to the function.
In this case, we are finding out how many times 2 appears in the function, meaning you’ll have to solve for it when it equals 0. You may use a calculator or use the rational roots method. I will simply derive the answer from the calculator. If you’d like to know about the rational roots method, comment.

x^3 - 3x^2 + 4 = 0 // Given
0 = (x + 1)(x - 2)(x - 2) // Calculator skills
0 = (x + 1)(x - 2)^2 // Simplify

Therefore, 2 has a multiplicity of 2

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What is the equation of the line that passes through the point (-1, -3) and has a slope of -5?
spin [16.1K]

Answer:

<h2>A) y = -5x - 8</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point on a line

We have the slope m = -5, and the point (-1, -3). Substitute:

y-(-3)=-5(x-(-1))\\\\y+3=-5(x+1)

Convert to the slope-intercept form (y = mx + b):

y+3=-5(x+1)          <em>use the distributive property</em>

y+3=-5x-5            <em>subtract 3 from both sides</em>

y=-5x-8

7 0
3 years ago
a psychologist contends that the number of facts of a certain type that are remembered after t hours is given by the following f
laiz [17]

Answer:

At t=1, Rate of Change=-36.86

At t=10 hours, Rate of Change =-0.0088

Step-by-step explanation:

The function which describes the number of facts of a certain type which are remembered after t hours is given as:

f(t)=\frac{85t}{99t-85}

To determine the Rate of Change at the given time, we first look for the derivative of f(t).

Applying quotient rule:

f^{'}(t)=\frac{-7225}{{\left( 85 - 99\,t\right) }^{2}}

At t=1

f^{'}(1)=\frac{-7225}{(85-99)^{2}}

=-36.86

At t=10 hours

f^{'}(10)=\frac{-7225}{(85-99(10))^{2}}

=-0.0088

4 0
4 years ago
A bottle of eyes drop has 0.45 fluid ounces of liquid.How much liquid is in 10fourth bottles of eye drops
hammer [34]

Option 1: 4500 Fluid Ounces is the correct answer

Step-by-step explanation:

The total fluid will be calculated by multiplying the amount of fluid in one bottle to the number of bottles

Given

Liquid\ in\ one\ bottle=0.45\ fluid\ ounces\\Total\ number\ of\ bottles=10^4

So,

Total\ fluid=Fluid\ in\ one\ bottle* Number\ of\ bottles\\=0.45*10^4\\=0.45*10000\\=4500\ fluid\ Ounces

Hence,

Option 1: 4500 Fluid Ounces is the correct answer

Keywords: Division, Multiplication

Learn more about quantities at:

  • brainly.com/question/2115122
  • brainly.com/question/2116906

#LearnwithBrainly

3 0
3 years ago
Derivative of Y=cos^2(3x)
Black_prince [1.1K]
The derivative is -6sin(3x)
4 0
3 years ago
PLS HELP WILL MARK BRAINLIESTTT What is the solution to this inequality?
vagabundo [1.1K]

Answer:

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Step-by-step explanation:

In either order, subtract the left-side constant and divide by the x-coefficient.

  3x +2.4 > 3

  3x > 0.6 . . . . . . subtract 2.4

  x > 0.2 . . . . . . . divide by 3

__

or

  x + 0.8 > 1 . . . . divide by 3

  x > 0.2 . . . . . . . subtract 0.8

8 0
3 years ago
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