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
Misha Larkins [42]
3 years ago
14

Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9

Mathematics
1 answer:
patriot [66]3 years ago
7 0

x+2

Step-by-step explanation:

x+2

If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.

You might be interested in
Identify the range of the function shown in the graph.​
Kitty [74]

Answer:           The answer is all real numbers

Step-by-step explanation:

This is the answer because the line goes on infinitely and will pass through all of the numbers (negative, positive). Its not y \geq \\ 0 because it passes through 0 when the line goes through x (side to side) axis.

6 0
2 years ago
Which of the following is parallel to the line 2x+4y=16
k0ka [10]

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

6 0
2 years ago
What is the hypotenuse of an triangle with sides 6 and 8 and angles 30 and 60 degrees?
klemol [59]
Hypotenuse ^2 = base^2 + perpendicular ^2

H^2 = 6^2 + 8^2
H^2 = 36 + 64
H^2 = 100
H = 10

(This is a right angle triangle as 60+30= 90
180-90= 90)
5 0
3 years ago
What is the x- intercept of y+ 12 =3 (x-9)?
Natalija [7]

Answer:

13,0

Step-by-step explanation:

12=3(x-9)

divide both sides by three

4=x-9

add 9 to both sides

x=13

so, the x intercept is (13,0)

7 0
2 years ago
Read 2 more answers
The sum of the first and third of three consecutive integers is 140. find the three even integers​
Elina [12.6K]

Answer:

It would be 68,70,72

Step-by-step explanation:

The sum of first and third of 3 consecutive number is 140 as 68+72 is 140.

68 is the first

72 is the third

They are all even numbers as well

6 0
3 years ago
Other questions:
  • How many solutions does the following equation have? |4x+12|=0
    15·2 answers
  • If the cos 42° = one half, then the sin 48° = _____.
    13·1 answer
  • Answer the Question <br><br> [7 x ( 78 x 3) - 6] Remember PEMDAS
    12·1 answer
  • Which quantity is proportional to 40⁄8?
    9·1 answer
  • A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
    8·1 answer
  • Sandra scores 12 out of 30 in her maths test. Write this as a fraction in its simplest form.​
    7·1 answer
  • How do I answer this using long polynomial division?
    6·1 answer
  • !! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer
    5·2 answers
  • Will I get the actual answers?
    14·2 answers
  • A square field has an area of 4823m²(show your work! ) ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!