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
levacccp [35]
3 years ago
15

If the graph of the function f has a multiple zero at x = 2, what is a possible exponent of the factor x - 2? Justify your reaso

ning.
​

Mathematics
1 answer:
melomori [17]3 years ago
6 0

Answer:

(x-2)^2

The exponent is 2.

Step-by-step explanation:

Remember multiplicity rules:

  • If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis.
  • If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.

At x=2, we have the factor (x-2).

From the graph, we can see that the graph bounces off at that point.

Hence, the multiplicity of (x-2) must be even.

Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.

You might be interested in
Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.
Igoryamba

For two shots Pedro has four outcomes:

<u>1 shot | 2 shot</u>

score | score

score | not score

not score | score

not score | not score

The probability Pedro's shot will score in a lacrosse game is 0.30 and the probability his shot will not score in a lacrosse game is 1-0.30=0.70. So you can count probabilities for all cases:

1. 0.3·0.3=0.09;

2. 0.3·0.7=0.21;

3. 0.7·0.3=0.21;

4. 0.7·0.7=0.49.

In total 0.09+0.21+0.21+0.49=1. The first outcomes is that what you need.

Answer: 0.09.

8 0
3 years ago
Read 2 more answers
How many minutes are in 2/3 hour? How many minutes are in 3/5 of that time?
Tom [10]
2/3 hour = 20 minutes. so therefore 20 / 5 = 4 x3 = 12
3/5 of that time is 12 minutes.
8 0
3 years ago
Read 2 more answers
A fountain on a lake sprays water in a parabolic arch modeled by the equation y= -0.3x^2 +3x. A beam of light modeled by the equ
Nikitich [7]

ANSWER

4.1 units to the nearest tenth.

EXPLANATION

The graph of the two functions are shown in the attachment.

The coordinates of point A is (1.6,4.1).

The coordinates of point B is (7.1,6.1)

The x-axis represents the ground level.

The distance of point A from the ground level is how far the y-coordinate of this point is from the x-axis.

Which is |4.1-0|=4.1

3 0
3 years ago
The ratio of Harry's money to Lincoln's money is 6:5. If Harry and Lincoln have a total of $220, how much money in dollars does
nydimaria [60]

Answer:

Harry has 120$

Step-by-step explanation

6x+5x=220

11x=220

/11  /11

x=20

6 * 20 = 120

I'd apptreciate help w my questions if u can :)

7 0
3 years ago
Read 2 more answers
A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.
Natali [406]

Answer:

y+9 = - 9x +18

Step-by-step explanation:

Line is passing through the point (2,\: - 9) =(x_1,\:y_1) and has slope (m) = - 9

General equation of line in point slope form is given as:

y-y_1 = m(x-x_1)

Therefore

y-(-9) = - 9(x-2)

y+9 = - 9x +18

This is the required equation of line in point slope form.

4 0
3 years ago
Other questions:
  • Jamie purchased a condo in Naples, Florida, for $699,000. She put 20% down and financed the rest at
    13·1 answer
  • A number , x,rounded to 1 decimal place is 3.7 what is the error interval for x
    9·1 answer
  • Who's is the solution set of the compound inequality 3.5x-10&gt;-3 and 8x-9&lt;39
    5·2 answers
  • Lol can someone help me on #'s 1 and 3 I'm confuzzled as ever LOL
    13·2 answers
  • A set of n = 5 pairs of x and y values has ssx = 10, ssy = 40 and sp = 10. for these data, the pearson correlation is
    8·1 answer
  • Evaluate the expression -5-3+1
    13·2 answers
  • Is 4 √ 7 2 written in simplest radical form<br><br> yes or no
    12·2 answers
  • Find the surface area
    11·2 answers
  • From the set {-252, -64, 64}, use substitution to determine which value of x makes the equation true.
    6·1 answer
  • 4x + y = -1<br> 4x - 3y = 7<br> Solve the simultaneous equation.<br><br> x=__<br> y=__
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!