MATHEMATICS MIDDLE SCHOOL

According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it has zeros.

Answers

Answer 1

Answer:

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Answer 2

Answer:

2 roots

2 zeros

Step-by-step explanation:

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Translate the sentence into an inequality.
The product of b and 6 is less than - 16.

Answers

Answer:

6b<-16

Step-by-step explanation:

Final answer:

The sentence 'The product of b and 6 is less than -16' translates to the inequality '6b < -16' in Mathematics.

Explanation:

In mathematics, translating a sentence into an inequality involves identifying the mathematical symbols and operations represented by the words in the sentence. In this case, 'the product of b and 6' translates to '6 * b' and 'is less than' translates to '<'. So, the sentence 'The product of b and 6 is less than -16' translates to the inequality '6 * b < -16' or '6b < -16' in simplified form.

Learn more about Inequalities here:

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The temperature at the beginning for the day is 32°Friday and drops to -6°Friday by midnight. How many degrees did the temperature drop?

Answers

32 + 6 = 38

The temperature dropped 38 degrees.

Changing Dimensions of 3-D FiguresAssignment Active
Identifying Properties of Congruent Prisms
Which properties are necessary to claim that the two
prisms are congruent? Check all that apply.
The lengths of corresponding edges are in a 1:1
ratio.
The volumes are equal.
Corresponding angles have different measures.
Corresponding faces are not congruent.
The base areas are equal.
The prisms have the same height.

Answers

The prisms are congruent if the lengths of corresponding edges are in a 1:1 ratio, the volumes and the base areas are equal and the prisms have same height

Step-by-step explanation:

For the two prisms to be congruent the following properties should hold TRUE

The lengths of corresponding edges are in a 1:1 ratio.

The volumes are equal.

The base areas are equal.

The prisms have the same height.

What is a suffix for the words toward the east in a quiet way

Answers

Its would be eastward. Just combine east + toward = eastward . hope that was helpful .

Answer:

yes he is right

Step-by-step explanation:

There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of boys in her class?

Answers

Let the number of boys be x

Let the number of girls be x + 4

(x + 4) + x = 28

x + x + 4 = 28

2x + 4 =28

2x = 28 - 4 → 2x = 24 → x = 24 / 2 → x = 12

The number of boys is 12, so the girls are 12 + 4 = 16

Ratio of girls to boys → 16 : 12 → 4 : 3

Ratio of girls to boys is 4:3

Math question down below

Answers

Answer:

315

Step-by-step explanation:

42 is 84 percent of 50. If you apply this to 375, you get 315 because 84 percent of 375 is 315

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