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
svlad2 [7]
3 years ago
13

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:
Nikitich [7]3 years ago
7 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
What is 72/97 as a percentage Give your answer rounded to one decimal place
Aleks04 [339]

Answer:

74.2%

Step-by-step explanation:

I said 72/.97 and then I rounded to the nearest tenth.

3 0
2 years ago
Read 2 more answers
Question 1 of 5 The Ridgeport school district collected data about class size in the district. The table shows the class sizes f
exis [7]

Answer:

C is the correct answer

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Which expression is equivalent to –5(x + 10)? F. 5x + 50 G. −5x + 10 H. −5x − 50 I. 5x − 50
Sveta_85 [38]

Answer:

H) -5x - 50

Step-by-step explanation:

(-5 · x) + (-5 · 10) = -5x - 50

6 0
2 years ago
can someone j help me w this, ive reposted it twice now :-(((( due in an hour please help!:( will give brainliest
Doss [256]

Step-by-step explanation:

I got you,

a) Work...

First equation: y = 4x + 3

Second equation: y = 2x + 11

If he wants to play 2 games...

y = 4 (2) + 3

y = 11

y = 2 (2) + 11

y = 15

<u>Answer for part a: If a customer wants to rent shoes and play two games, they'll pay more with the new price plan. With the current price plan, they'll pay 11 dollars, but with the new price plan, they'll pay 15 dollars.</u>

b) Work...

seven games...

y = 4 (7) + 3

y = 31

y = 2 (7) + 11

y = 25

<u>Answer for part b: If the customer wants to play 7 games, including the shoes, they would pay less using the new plan. If the shes were not included, the new price will still be less. With the shoes, 7 games, with the original plan, is 31 dollars but 25 dollars with the new plan. If they didn't want to rent shoes, they would pay 28 dollars with the original plan but only 14 dollars with the new plan. All in all, they spend less on the new plan anyways.</u>

I hope this helps :)

7 0
2 years ago
Read 2 more answers
Have the conditions for inference been met?
alekssr [168]

Answer: the answer is A

Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)

youre welcome

5 0
2 years ago
Other questions:
  • Kim bought 10 pizzas for a party .each pizza cost $8.50 kim and 4 of her friends are splitting the cost of the pizzas how much w
    12·2 answers
  • Ron wrote the pattern shown below. What is the rule for following Ron's pattern?<br> 11, 36, 86, 186
    7·1 answer
  • Mrs.Maxwell is buying pencils for her students. She has 3 classes of 28 students each. For Valentine’s Day, she wants to give ea
    12·2 answers
  • To increase an amount by 17.5% what single multiplier would you use?
    12·2 answers
  • Bonnie Had 6 bags of 6 gel pens she wanted to give the same number of pens to 9 friends how many gel pens did each friend get
    9·1 answer
  • What is the answer to this, there were 22869 children, 49563 men, and 2872 more women than men at the fair. How many people were
    8·1 answer
  • !!!!!!!!!! PLEASE HELP IM SO FRUSTRATED
    13·2 answers
  • Angles R and S are complementary if m &lt;R=65.3 what is the measure of &lt;S?​
    12·1 answer
  • How much does this equation, also what is the answer <br> 8 + (-8)
    10·1 answer
  • What is the answer<br> To 7/9 divided by 1/8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!