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3 years ago

MATH EASY PLEASE PLEASE HELP ME

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer:

Step-by-step explanation:

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A. -5 B. 4 C. -4 D. 5

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The answer is D. In the function $y=4/(x-5)$ , A value of 5 would make the denominator 0. This is undefined, so 5 is excluded.

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A spinner is divided into blue green and red part.George spin the spinner 300 times. It lands 91 times on blue 107 times on gree

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132/4 = 33, x = 33 boxes

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Find the number that makes the ratio equivalent to 1:3. 4:_____ 12 or 13 or 9 or 11

ankoles [38]

The answer would be 12

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3 years ago

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 h

andreyandreev [35.5K]

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.

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3 years ago