Why is it important to consider multiplicity when determining the roots of a polynomial equation? Write your response, citing mathematical reasons and providing examples that you create In order to receive full credit for this prompt, please answer the following questions: What it multiplicity? What does it tell us? Why must we take multiplicity into account when talking about the number of roots a polynomial has? What does multiplicity tell us about how the graph behaves at the roots?

Answer:

the measure of angle ABC is 73°

Step-by-step explanation:

This is  inscribed angle and theorem says that its measure is 1/2 of intercepted arc

m∠ABC =1/2 m arcAC = 1/2 * 146°° =73°

Answer:

It is 180 degrees

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Answer:

The vertical line test is a way for you to see if a graph represents a function. It allows you to identify if any x values have more than one y value.

A graph would be a function if every input (x) has exactly one output (y). A graph would not be a function if an input (x) has more than one output (y).

Step-by-step explanation:

In a function, every input within the domain of the function must have exactly one output. If the graph has an input that has more than one output, then it is not a function. The vertical line test is what allows you to see if a graph is a function or not.

Answer:

When given a graph, the vertical line test can be used to determine functionality. The vertical line test would represent a function if no more than one point of the graph of a relation, this shows that only one output value for each input value. If this doesn't apply or more than one point is on the line then it would not represent a function.

Step-by-step explanation:

Draw vertical lines to intersect on a graph.

The relation is a function if there’s only one point of intersection on a graph.

The relation is not a function if there’s more than one point of intersection on a graph.

The vertical line test is used to determine if each input has exactly one output.

Answer:

75.96 Degrees

Step-by-step explanation:

Use the trigonometric functions of Sine Cosine and Tangent

(SOH CAH TOA)

The unknown angle is near the adjacent side of 2 and the opposite side of 8

Therefore you use the Tangent function

However, since it's the angle that needs to be found, you need to use Arc Tangent (The inverse operation)

Unknown Angle = ArcTan (8 / 2)

Unknown Angle = 75.96 Degrees

Note: ArcTan is just Tan to the power of -1

On my calculator I have to click shift then click the tan function to access this it may be different on yours

Answer:

Step-by-step explanation:

A correlation coefficient of 0.55 implies a weak positive correlation, because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak. Therefore, the right answer is C.

Her prediction will be somewhat likely to be close to the actual value.

We have given that,

Madelina wants to make a prediction using a linear model with a correlation coefficient of 0.55.

We have to determine the correct statement.

The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables.

A correlation coefficient of 0.55 implies a weak positive correlation because it's close to 0.50. Remember that strong correlations are 1 or -1, positive or negative, and the middle of the interval represents no correlation.

Having said that, 0.55 indicates some correlation, but weak.

Therefore, the right answer is C.

To learn more about the correlation coefficient visit:

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Answer:

D, 4

Step-by-step explanation:

The graph crosses the x-axis 4 different times

Answer:

let x = the number of nickels

the number of pennies can be represented by (56 - x)

.05x + .01(56 - x) = 1.52

5x + (56 - x) = 152    if in the above line we multiply both sides of the equation by 100

4x + 56 = 152

4x = 96

x = 24

There are 24 nickels and 56 - 24 = 32 pennies

24 nickels are worth 24 * 5 = $1.20 and 32 pennies are obviously worth 32 cents, so the total is 1.20 + 0.32 = $1.52

Step-by-step explanation:

Answer:

X=70

Step-by-step explanation:

180-120=60

60 + 50=110

180-110=70

Answer:70°

Step-by-step explanation:

missing angle- 180°-120°= 60

a total triangle= 180°

so x = 180-(50+60)

=180-110

x=70°

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

Answer:

  P = (A +3B)/4

Step-by-step explanation:

A "directed" line segment is one that has a "beginning" and an "end". The first letter of the line segment's name is the beginning; the last letter is the end.

Line segment AB begins at point A and ends at point B.

The problem statement tells you what it means to locate point P so the segment is divided in the ratio 3:1.

  AP : PB = 3 : 1

  (P -A) / (B -P) = 3 / 1

  P -A = 3(B -P) . . . . . . . . multiply by (B-P)

  P +3P = A +3B . . . . . . . add A+3P

  P = (A +3B)/4

You can find point P by filling in the coordinate values in the formula just found.

_____

Comment on the general case

If you derive the formula for P dividing the segment in the ratio m : n, you find it is ...

  P = (nA +mB)/(m+n) . . . length ratios are applied in reverse to the end points

Answer:

4(-2) + 8(4) / 7 - (-2)²

-8 + 32 / 7 - 4

24 / 3

= 8

Step-by-step explanation:

Answer:

a

n

=

3

n

−

7

Step-by-step explanation:

Answer:

4 + 10i

Step-by-step explanation:

Expanding the bracket we have;

(7+3i)-(3-7i) = 7+3i-3+7i

(7+3i)-(3-7i) = 7+3i-3+7i = 7-3 + 3i + 7i= 4 + 10i

Answer Option C

=7+3i-3+7i

=7-3+3i+7i=

=4+10i

Answer: Pressure and force are related, and so you can calculate one if you know the other by using the physics equation,

P = F/A. Because pressure is force divided by area,

its meter-kilogram-second (MKS) units are newtons per square meter,

or N/m2.

Answer:

So since the formula for perimeter is 2(w+h)

200 = 2(w+h)

that means that

100 = w+h

100 = 36+x

x=

64 UNITS

Step-by-step explanation:

Answer:

B-12

Step-by-step explanation:

Answer:

B) 12

Step-by-step explanation:

Set x equal to zero and you get y= 12

Answer:

True

Step-by-step explanation:

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.

-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )

Answer:

-3x-11y is the answer.

Answer: -3x-11y

Add them in groups

Answer:

h=2A/b

Step-by-step explanation:

Try to isolate the variable H. Multiply by 2 on both sides to get rid of the fraction. This gives us 2A=bh. Now, divide both sides by B to get h by itself. h=2A/b is your answer.

Answer:

irrational

Step-by-step explanation:

Answer:

It is an irrational number.

Step-by-step explanation:

Whole numbers are numbers that include all natural numbers, (1 - infinity), and 0. Integers are numbers that can be written without fractional components. Rational numbers are numbers that can be written in the form P/Q, where p and q are integers. There only leaves irrational numbers.

Answer:

Subtract 7 from each side

Divide each side by -2

Step-by-step explanation:

-2b+7 = -13

Subtract 7 from each side

-2b+7 -7= -13-7

-2b = -20

Divide each side by -2

-2b/-2 = -20/-2

b = 1-

Answer:

the second one

Step-by-step explanation:

correct me if it is wrong

Answer:

3, 4, 81

Step-by-step explanation:

plz thank

The value of a is 3, value of b is 4 and value of c is 81.

To understand more, check below explanation.

The exponential identity is,

                       [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex]

We have to solve,  [tex]\frac{3^{8} }{3^{4} }[/tex]

              [tex]\frac{3^{8} }{3^{4} } =3^{8-4} \\\\\frac{3^{8} }{3^{4} } =3^{4} \\\\\frac{3^{8} }{3^{4} } =3*3*3*3=81[/tex]

Hence, the value of a is 3, value of b is 4 and value of c is 81.

Learn more about the exponential expression here:

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Answer:

C

Step-by-step explanation:

Substitute the x- coordinate into f(x) and if the value is equal to the y- coordinate of the point then the point is on the graph.

A (0, 18)

f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 18 ← not on graph

B (18, 1 )

f(18) = 3 × [tex]6^{18}[/tex] ≠ 1 ← not on graph

C  (1, 18 )

f(1) = 3 × [tex]6^{1}[/tex] = 3 × 6 = 18 ← on the graph

D (0, 0 )

f(0) = 3 × [tex]6^{0}[/tex] = 3 × 1 = 3 ≠ 0 ← not on graph

Answer: Point A

Air pressure is essentially the weight of the air pressing down; it's greatest when there's the most air above, so at the lowest point, which is point A, elevation 1000 feet.

Answer:

C) The initial value is 32, and the rate of change is 1.

Step-by-step explanation:

This is the correct answer for edge

Answer:

B. the slope of f(x) is the same as the slope of g(x)

Step-by-step explanation:

B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.

Answer:

D ye

Step-by-step explanation:

Answer:

B) x = -4

Step-by-step explanation:

[tex]\frac{1}{4}x-\frac{1}{8}=\frac{7}{8}+\frac{1}{2}x\\\\\frac{1}{4}x-\frac{1}{2}x-\frac{1}{8}=\frac{7}{8}\\\\\frac{1}{4}x-\frac{1}{2}x=\frac{7}{8}+\frac{1}{8}\\\\\frac{1}{4}x-\frac{1*2}{2*2}=\frac{7+1}{8}\\\\\frac{1}{4}x-\frac{2}{4}x=1\\\\\frac{1-2}{4}x=1\\\\\frac{-1}{4}x=1\\\\x=1*\frac{-4}{1}\\\\x=-4[/tex]

Answer:

I think it is C but can't be sure because B isn't clear.

Step-by-step explanation: