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
ozzi
3 years ago
14

Determine whether −2 is a zero (root) of the function:

Mathematics
2 answers:
lianna [129]3 years ago
5 0

Answer:

The answer to your question is No

Step-by-step explanation:

Data

function f(x) = 2x³ + x² - 10x - 12

To know if a number is a root of a function, evaluate the function on that number, if the result is zero, then that number is a root.

Substitution          

               f(-2) = 2(-2)³ + (-2)² - 10(-2) - 12

Simplification          

               f(-2) = 2(-8) + 4 + 20 - 12

               f(-2) = -16 + 4 + 20 - 12

               f(-2) = -28 + 24

               f(-2) = -4

-2 is not a root that the function.

gregori [183]3 years ago
4 0

Answer:

No

Step-by-step explanation:

Using factor theorem

If the remainder is 0, it is a root

2(-2)³ + x(-2)² − 10(-2) − 12

-4

Since the remainder is non-zero, it is not a root

You might be interested in
8/9 to what power equals 64/81
Ierofanga [76]

2nd

Step-by-step explanation:

8/9 to the second power equals to 64/81. Hope this helps!

7 0
3 years ago
Read 2 more answers
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
A lawn darts team has choice of hitting a short field bonus throw or long zone bonus,
Assoli18 [71]

Answer:

B. Long Field

Step-by-step explanation:

6 0
3 years ago
What is the greatest common factor of the terms in the expression 21x-18x+28xy
xeze [42]

Answer:

x(3+28y)

Step-by-step explanation:

21x-18x+28xy

3x+28xy

x(3+28y)

8 0
2 years ago
Read 2 more answers
Madi has 5 apples and 15 oranges. what is a true statement
AlexFokin [52]

Answer:

The true statement is that the answer is 75

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • An engine that’s being tested is coupled to a dynamometer that has a radius arm of 1.70 feet. The test data shows a speed of 5,0
    12·2 answers
  • Laws of sines: the ambiguous case. I need help solving 3,6&9. Not sure what to do. Someone please help me
    8·1 answer
  • A blueprint for a house has a scale of 1:35(in:in). A wall in the blueprint is 3inches. What is the length( in feet) of the actu
    6·1 answer
  • Y-4=3(x - 1) <br> Identify slope <br><br> and what is an “anchor point”
    10·2 answers
  • NEEDED ASAP! IF YOU CAN PLEASE ANSWER THIS THANKS!
    10·2 answers
  • The diagram shows two congursnt polygons
    13·1 answer
  • Solve by elimination. 2x – 1= 20<br> 2.x + 3y = 20
    11·1 answer
  • Please help, I need to solve for m. a=f/m
    13·1 answer
  • Write the equation of the line that passes through the points (−7,0) and (6,−4).
    12·1 answer
  • Daniel combines 6.42 liters of red paint with 6.87 liters of blue paint to make purple paint. He pours the paint equally into 3
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!