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
katrin [286]
3 years ago
10

Find the zeros of the function.

Mathematics
2 answers:
Slav-nsk [51]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

To find the zeros equate g(x) to zero, that is

(x - 2)(3x + 3) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

3x + 3 = 0 ( subtract 3 from both sides )

3x = - 3 ( divide both sides by 3 )

x = - 1

Hence

smaller x = - 1

larger x = 2

docker41 [41]3 years ago
5 0

Step-by-step explanation:

• <em><u>To</u></em><em><u> </u></em><em><u>find</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>Zero</u></em><em><u>s</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>funct</u></em><em><u>ion</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>equate</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>function</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>here</u></em><em><u> </u></em><em><u>g</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>)</u></em><em><u> </u></em><em><u>)</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>zero</u></em><em><u> </u></em>

<em>=</em><em>></em><em> </em><em><u>g</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>)</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>)</u></em><em><u> </u></em><em><u>(</u></em><em><u> </u></em><em><u>3</u></em><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>3</u></em><em><u> </u></em><em><u>)</u></em>

<em>g</em><em> </em><em>(</em><em> </em><em>x</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>(</em><em> </em><em>x</em><em> </em><em>-</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>(</em><em> </em><em>3</em><em>x</em><em> </em><em>+</em><em> </em><em>3</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>either</em><em> </em><em>,</em><em> </em><em>(</em><em> </em><em>x</em><em> </em><em>-</em><em> </em><em>2</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>0</em><em> </em><em>OR</em><em> </em><em>(</em><em> </em><em>3</em><em> </em><em>x</em><em> </em><em>+</em><em> </em><em>3</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>OR</em><em> </em><em>3</em><em>x</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>-</em><em> </em><em>3</em><em> </em><em>)</em>

<em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em><em>OR</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>

<em>•</em><em> </em><em>Smaller</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>(</em><em> </em><em>-</em><em> </em><em>1</em><em> </em><em>)</em>

<em>•</em><em> </em><em>Larger</em><em> </em><em>x</em><em> </em><em>=</em><em> </em><em>2</em><em> </em>

You might be interested in
There were 475 children at the baseball game on sunday .what is 475 rounded to the nearest ten
Ratling [72]
480. Since the ones place is a five, you round up, so 475 becomes 480.
8 0
2 years ago
Read 2 more answers
Can yall help me with this. -4(2x-7)&lt;10-2x Write the solution in the form x ? A, where ? Represents the correct inequality sy
alex41 [277]

Answer: x > 3

Step-by-step explanation:

We have the inequality:

-4*(2*x - 7) < 10 - 2*x

We want to find the possible values for x.

first, we expand the left side.

-8x + 28 < 10 - 2x

now we want to have all the terms with x in one side and the terms without x in the other side.

-8x + 2x < 10 - 28

-6x < -18

now we divide both sides by -6, as we divide by a negative number, the direction of the inequality changes:

x > 18/6 = 3

x > 3

This means that x must be larger than 3.

5 0
2 years ago
Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in
Serga [27]

Answer: the length of Maria's piece of string is 45 inches.

the length of Katy's piece of string is 39 inches

Step-by-step explanation:

Let x represent the length of Maria's piece of string.

Let y represent the length of Katy's piece of string.

When they put the two pieces of string together end to end, the total length is 84inches. This means that

x + y = 84 - - - - - - - - - - - -1

Maria's string is 6 inches longer than Katy's. This means that

x = y + 6

Substituting x = y + 6 into equation 1, it becomes

y + 6 + y = 84

2y + 6 = 84

2y = 84 - 6 = 78

y = 78/2 = 39

x = y + 6 = 39 + 6

x = 45

8 0
3 years ago
1/2q+2(q+5)=-4(q+1)+1
dybincka [34]
Your answer is q = 2
5 0
2 years ago
Read 2 more answers
AC =<br> Round your answer to the nearest hundredth.<br> A<br> 5<br> 35<br> B<br> C
baherus [9]

Answer:

2.87 = AC

Step-by-step explanation:

Since this is a right triangle we can use trig functions

sin theta = opp / hyp

sin 35 = AC /5

5 sin 35 = AC

2.867882182= AC

To the nearest hundredth

2.87 = AC

8 0
2 years ago
Other questions:
  • (8y-5)-(2y-9) plz help
    6·1 answer
  • Which expression represents the following situation?
    5·1 answer
  • a small Computing Center has found that the number of jobs submitted per day to its computers has a mean of 65 jobs and a standa
    9·1 answer
  • segment AB was dilated by scale factor of 2 to create segment A prime B prime. Which point is the center of dilation?
    10·2 answers
  • Multiple 2x (-21) * 7 .
    10·1 answer
  • What is the answer to -3(x-3)​
    15·1 answer
  • Yearly travel expenses for a family of four are normally distributed with a mean expense equal to $3,000 and a standard deviatio
    6·1 answer
  • How do you bisect angles???
    14·1 answer
  • Lamar is a football player. In his best play, he ran 48 yards with the football scoring a touchdown. One yard is equal to three
    9·2 answers
  • BD=16 and ÁT is the<br> perpendicular bisector of BD. Y=?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!