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
ruslelena [56]
3 years ago
11

9. (04.03 LC)

Mathematics
1 answer:
notka56 [123]3 years ago
3 0

Answer:

f(2)=0. The third option is correct.

Step-by-step explanation:

Suppose we have a polynomial called f(x) and we know (x-2) is a factor of f. This means that we can express f(x) as:

f(x)=(x-2)\cdot g(x)

Being g(x) another unknown function.

Option 1: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=-2. Incorrect

Option 2: f(-2)=(-2-2)\cdot g(-2)=-4\cdot g(-2). Since we don't know the value of g(-2), we cannot assure f(-2)=0. Incorrect

Option 3: f(2)=(2-2)\cdot g(2)=0\cdot g(0)=0. Regardless of the value of g(0), f(0) must be 0. Correct

Option 4: f(0)=(0-2)\cdot g(0)=-2\cdot g(0). Since we don't know the value of g(0), we cannot assure f(0)=2. Incorrect

You might be interested in
Find the unit rate.
Sindrei [870]

Answer:

I believe the answer is 162 per season is the unit rate , I am really sorry if I am wrong.

3 0
3 years ago
Which of the following statements best describes theorems
insens350 [35]

Answer:

The answer to your question is the first option.

Step-by-step explanation:

4 0
3 years ago
A=(1/2)bh Solve the formula for h. Please show the steps of how you got the answer!
Flauer [41]
A = 1/2bh...for h
multiply both sides by 2
2A = bh
now divide both sides by b
(2a)/b = h
5 0
3 years ago
Read 2 more answers
Josh paid $11.96 for a 2.24 -pound bag of shrimp at one store. The following week, he paid $17.24 for a 3.12 -pound bag at anoth
Whitepunk [10]
The first bag would be 5.34$ and the second would be 5.53$ and the second bag is better cause your only spending 19 more cents for 1.5 more pounds
6 0
3 years ago
I need help seeing what I did wrong
Makovka662 [10]

Answer:  The two roots are x = 3/2 and x = -2

=========================================================

Explanation:

You have the right idea so far. But the two numbers should be 3 and -4 since

  • 3*(-4) = -12
  • 3+(-4) = -1

The -1 being the coefficient of the x term.

This means you need to change the -3x and 4x to 3x and -4x respectively. The other inner boxes are correct.

---------

Refer to the diagram below to see one way to fill out the box method, and that helps determine the factorization.

If we place a 2x to the left of -2x^2, then we need an -x up top because 2x*(-x) = -2x^2

Then based on that outer 2x, we need a -2 up top over the -4x. That way we get 2x*(-2) = -4x

So we have the factor -x-2 along the top

The last thing missing is the -3 to the left of 3x. Note how -3*(-x) = 3x in the left corner and -3*(-2) = 6 in the lower right corner.

We have the factor 2x-3 along the left side.

---------

The two factors are (2x-3) and (-x-2) which leads to the factorization (x+3)(-x+2)

The last thing to do is set each factor equal to 0 and solve for x

  • 2x-3 = 0 solves to x = 3/2 = 1.5
  • -x-2 = 0 solves to x = -2

The two roots are x = 3/2 and x = -2

8 0
3 years ago
Other questions:
  • Solve the equation: Sin2x - Sinx = 0
    11·1 answer
  • Simplify ¼(8m-4n) + ⅓(6m+3n)?
    13·1 answer
  • Marshall buys a sack of peaches for $5.98. The peaches weigh
    6·1 answer
  • PLEASE HELP ME!!<br> Question 1. 10(9-t)=<br> Question 2. 16(7b+6)=
    6·1 answer
  • A series is the summation of the terms of a sequence. True False
    14·2 answers
  • The peak of the house formed what type of triangle?
    6·2 answers
  • A girl wants to count the steps of a moving escalator which is going up. If she is going up on it, she counts 60 steps. If she i
    14·1 answer
  • Help please!<br><br>Urgent Question!!!​
    6·2 answers
  • Sarah Sandoval is a coffee farmer trying to decide how many tons of coffee to produce. She can sell each ton of coffee for $2,40
    5·1 answer
  • I still need the area I provided my answer for perimeter if you need help! pls help me if u do I will give u brainliest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!