1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet-ann [11.9K]
3 years ago
6

Fill in the missing portions of the function to rewrite g(x) = 3a^2 − 42a + 135 to reveal the zeros of the function. What are th

e zeros of g(x)? (show your work!)
Enter your answers in the blanks:


g(x) = 3(_____)(_____)


Zeros: ______ and ______
Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

g(x) = 3x^{2} - 42a + 135

So

a = 3, b = -42, c = 135

\bigtriangleup = (-42)^{2} - 4*3*135 = 144

x_{1} = \frac{-(-42) + \sqrt{144}}{2*3} = 9

x_{2} = \frac{-(42) - \sqrt{144}}{2*3} = 5

So

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

You might be interested in
25x10^6 how do you do this question??
Mazyrski [523]

Answer:

25,000,000x

Step-by-step explanation:

10^6=1,000,000

25*1,000,000x

Mulitipli the numbers: 25 * 1,000,000 = 25,000,000x

7 0
3 years ago
Read 2 more answers
Which of the following is equivalent to 8x2+20x+
kkurt [141]
<h2>answer </h2><h2>36</h2>

<h2>i HOPE IT'S HELP </h2>

7 0
3 years ago
Seven less than one half of x
damaskus [11]

Answer:

X/2-7

Step-by-step explanation:

any number which is said to be less than another number let's say b should be subtracted from b.

7 0
3 years ago
A 12.5 oz bag of Doritos costs $3.79. A 3 oz bag costs $1.00. What is the difference in unit rates?
Furkat [3]

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

3 0
3 years ago
Read 2 more answers
Three minus the product of two and a number xxx.
pav-90 [236]
Answer: 3 - 2x

I’m not sure if you meant xxx or not.
5 0
3 years ago
Other questions:
  • ¼x+14 <br><br> A)-3.5 <br> B)24 <br> C)56 <br> D)-56
    5·1 answer
  • PLEASE HELP!:
    15·1 answer
  • At murky middle school, 372 students ride the bus to school. if this number is 60% of school enrollment, then how many students
    10·1 answer
  • . A recipe calls for 3 teaspoons of salt for every 5 cups of flour. If you wanted to make a larger batch with 15 cups of flour,
    10·1 answer
  • A jet travels 584 miles in 4 hours. At this rate how far could the jet fly in 13 hours?what is the rate of speed of the jet
    10·1 answer
  • -3x -3 = 2x + 7.<br> Will mark brainlest
    13·2 answers
  • Help please. Giving brainliest.
    15·1 answer
  • HELP ASAP!! WILL GIVE BRAIN THING AND A THANKS!
    6·1 answer
  • A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?
    9·1 answer
  • What is the largest 2 digit term in the sequnce 0,3,8​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!