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Olin [163]
3 years ago
10

What is the equation of the quadratic function that has x intercepts of -2 and 9?

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

Step-by-step explanation:

If the x-intercepts are -2 and 9, then the factors of this quadratic are (x + 2) and (x - 9).  Multiplying these two factors together, we get:

f(x) = (x - 9)(x + 2) = x^2 - 9x + 2x -18, or

f(x) = (x - 9)(x + 2) = x^2 - 7x - 18

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skad [1K]
The correct answer is:  "Graph 1" ;  that is, the "first graph to the left" .
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             →  {among the two graphs provided as answer choices.}.
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<u>Note</u>:
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 The line drawn on the graph shown on the "first graph" — (that is, the graph shown to the far left, among the two graphs provided as answer choices) — reflect the linear equation given:
 
  " y = 6x " ;

and the line shown on the "first graph shown to the left" consists of the coordinates reflected on the table given:

" (0, 0) ,  (1, 6), (2, 12), (3, 18) " .
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Note that the "second graph, to the far right, is incorrect;  the line provided in the "second graph" shows that:

when "x = 4" , "y = 20" .

This is incorrect; since:  

Given the equation:  

" y = 6x "  ;

→  y = 6(4) ;
 
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8 0
3 years ago
Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?
Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60   Eqn 1

x=2y+9   Eqn 2

Putting value of Eqn 2 in Eqn 1;

(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51

Dividing both sides by 3,

\frac{3y}{3}=\frac{51}{3}\\y=17\\

Putting y=17 in Eqn 2

x=2(17)+9\\x=34+9\\x=43

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

  • brainly.com/question/10736268
  • brainly.com/question/10764770

#LearnwithBrainly

4 0
3 years ago
BILL IS IN A CLASS OF 15 BOYS AND 35 GIRLS. 30% OF THE STUDENTS IN
ICE Princess25 [194]

Answer:

35

Step-by-step explanation:

15+35=50

50=total number of students

50*0.3 = 15

50 - 15 = 35

35 students do not take the bus to school

8 0
3 years ago
Which is the best approximate solution of the system of linear equations y= 1.5x - 1 and y = 1
yan [13]

Answer:

4/3

Step-by-step explanation:

We can immediately eliminate y by setting y = 1 equal to y = 1.5x - 1:

1 = 1.5x - 1, or 1.5x = 2, or x = 2/1.5 = 4/3


6 0
3 years ago
Find the midpoint M of the line segment joining the points A = (-7, -6) and B = (3, 4).
Colt1911 [192]

Answer:

The midpoint is (-2,-1)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

( -7+3)/2 = -4/2 =-2

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(-6+4)/2 = -2/2 =-1

The midpoint is (-2,-1)

8 0
3 years ago
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