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3 years ago

What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

2 answers:

9 0

The correct answer is: [C]:  " (0, 24) " .
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Explanation:
___________________________________________________________

Given the quadratic function:
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→ " y = (x <span>− 8) (x + 3) " ;   </span>← Note: Replace the "f(x)" with: "y" ;

→ Find the "y-intercept".
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→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .

→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;

  → " y = (x − 8) (x + 3) " ;

  →   y = (0 − 8) (0 + 3) ;

  → y = (-8) * (3) ;

  → y = - 24 ;
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So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:

the point at which: "x = 0 ; y = -24 " ;

→ that is; the point the coordinates:  " (0, - 24) " ;
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→ which is: Answer choice: [C]: " (0, - 24) " .
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Margaret [11]3 years ago

5 0

Answer:

The correct answer is: [C]: " (0, 24) " .

Step-by-step explanation:

Given the quadratic function:

ote: Replace the "f(x)" with: "y" ;

→ Find the "y-intercept".

→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .

→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;

→ " y = (x − 8) (x + 3) " ;

→ y = (0 − 8) (0 + 3) ;

→ y = (-8) * (3) ;

→ y = - 24 ;

So, the "y -intercept" of the given quadratic function is:

the point at which: "x = 0 ; y = -24 " ;

→ that is; the point the coordinates: " (0, - 24) " ;

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The sum of 1/6,2/3, and 1/4 is

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¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
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Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

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Answer:

Graph (6, 5) and (-6, -3), and then use a ruler (optional), and draw a line between them, and a little after the points.

Step-by-step explanation:

y = 2/3x + 1

Substitute different numbers for x, and find y:

You don't really want to work with fractions, so try to find a number that when multiplied by 2/3, gives you a whole number

x = 6

y = 2/3(6) + 1

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Point: (6, 5)

x = -6

y = 2/3(-6) + 1

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Point: (-6, -3)

Graph these two points, and then use a ruler (optional), and draw a line between them, and a little after the points.

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