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
Use the interactive to graph the line that goes through
il63 [147K]

Answer:

The correct answer with step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the volume of a hemisphere with a radius of 4.9 ft, rounded to the nearest
Alexxx [7]

Answer:

Step-by-step explanation:

To round 4.9 to nearest tenth means to round the numbers so you only have one digit in the fractional part. 4.9 already has only one digit in the fractional part. Thus, 4.9 is already rounded as much as possible to the nearest tenth and the answer is: 4.9

3 0
3 years ago
Read 2 more answers
Answer please<br> Its for a timed test please answer
ruslelena [56]

Answer:

A.

Step-by-step explanation:

the absolute value of -5 = 5.

5+8=13.

Hope this helped.

3 0
2 years ago
Read 2 more answers
If the mean weight of 4 backfield members on the football team is 221 lb and the mean weight of the 7 other players is 202 lb, w
MatroZZZ [7]

Let x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9, x_{10}, x_{11} be the weight of i-th player.

1. If the mean weight of 4 backfield members on the football team is 221 lb, then

\dfrac{x_1+x_2+x_3+x_4}{4}=221\ lb.

2. If the mean weight of the 7 other players is 202 lb, then

\dfrac{x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{7}=202\ lb.

3. From the previous statements you have that

x_1+x_2+x_3+x_4=221\cdot 4=884 \lb,\\ \\x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=202\cdot 7=1414\ lb.

Add these two equalities and then divide by 11:

x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}=884+1414=2298\ lb,\\ \\\dfrac{x_1+x_2+x_3+x_4+x_5+x_6+x_7+x_8+x_9+x_{10}+x_{11}}{11}=\dfrac{2298}{11}=208\dfrac{10}{11}\ lb.

Answer: the mean weight of the 11-person team is 208\dfrac{10}{11}\ lb.

4 0
3 years ago
Find the sum and product of the roots. 3x^<br> 2 - 4x - 7 = 0
victus00 [196]
Given the quadratic function, to get the roots we factorize:
3x²-4x-7=0

3x²+3x-7x-7=0
3x(x+1)-7(x+1)=0
(3x-7)(x+1)=0
thus the roots are
x=-1 or x=3/7
thus the sum of the roots will be:
-1+3/7
=-4/7
6 0
3 years ago
Other questions:
  • Please help! 20 points!
    6·1 answer
  • If a door is 36 inches in width opens to an angle of 140 degrees,how large an arc is created?
    8·1 answer
  • I WILL MARK BRAINLY PLUS GIVE 33+
    14·1 answer
  • Select all the factors of x^3+5x^2+2x-8
    14·1 answer
  • What is the value of x?
    6·1 answer
  • 1. mandy is saving her money to buy a new Bike. The bike she wants is a Diamond back, which
    8·1 answer
  • A section of ground measures 1.5 cubic meters and contains 0.78 gram of gold. What is the amount of gold per cubic meter? Enter
    5·1 answer
  • Work out the volume of a cubeboid 10cm by 3cm by 2cm
    11·1 answer
  • Use the distributive property to expand this equation please2/3 (18x + 6z)
    9·1 answer
  • ______________ can hold multiple values within a single variable and is defined by having values between square brackets.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!