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
Bad White [126]
2 years ago
5

If 2x^2+2x-8 is the quotient when x+3 divides P(x), which of th3 following is the quotient when 2x+6 divides p(x)?

Mathematics
1 answer:
maria [59]2 years ago
7 0

Answer: A

2x^2+2x-8 is the quotient when x+3 divides P(x)

=> P(x) = (2x² + 2x -8)(x + 3) = 2(x² + x - 4)(x + 3) = (x² + x - 4) (2x + 6)

=> the quotient when 2x+6 divides p(x) is x² + x - 4

Step-by-step explanation:

You might be interested in
How to solve it and the answer
Mandarinka [93]
11.397058
comment If you want me to show my work
8 0
3 years ago
The graphs of y = f(x) and y = g(x) are shown on the coordinate plane below. If g(x) = k* f(x), what is the value of k?
mixer [17]

Answer:

Value of k = -2

Step-by-step explanation:

Using slope intercept form:

The equation of line is given by:

y = mx+b

where, m is the slope and b is the y-intercept.

As per the statement:

The graphs of y = f(x) and y = g(x) are shown on the coordinate plane.

First find f(x):

Consider two points on y=f(x) are:

(0,-3) and (2, 1)

Formula for slope:

\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}

then;

m = \frac{1-(-3)}{2-0}=\frac{4}{2} = 2

then;

y = 2x+b

Substitute the point (0, -3) to solve for b:

-3= 2(0)+b

⇒-3=b

∴ y=f(x)=2x-3

Similarly for g(x):

Consider two points on y = g(x) are:

(0, 6) and (2, -2)

then;

\text{Slope(m)} = \frac{y_2-y_1}{x_2-x_1}

then;

m = \frac{-2-6}{2-0}=\frac{-8}{2} =-4

then;

y = -4x+b

Substitute the points (0, 6) to solve for b:

6= -4(0)+b

⇒6=b

then we get an equation:

y = g(x) = -4x+6

It is given that: If g(x) = k* f(x)

Solve for k:

-4x+6 = k(2x-3)

⇒-4x+6 = 2kx-3k

on comparing both sides we have;

-2kx = -4x

⇒-2k = -4

Divide both sides by -2 we have;

k = 2

or

-3k = 6

⇒k = -2

Therefore, the value of k is, -2

7 0
3 years ago
Read 2 more answers
For the given polynomial​ P(x) and c=1/2 use the remainder theorem to find​ P(c).
Aleonysh [2.5K]

Answer:

-2.90625

Step-by-step explanation:

Given the polynomial function

P(x) = x^5-x^4+x^3-3

If c = 1/2

At x = c

P(1/2) = (1/2)^5-(1/2)^4+(1/2)^3-3

P(1/2) = 1/32 - 1/16 + 1/8 - 3

P(1/2) = 1-2+4-96/32

P(1/2) = -93/32

P(1/2) = -2.90625

Hence P(c) is -2.90625

8 0
2 years ago
The total length of a road trip was 16.2 hours. If highway signs are posted every 0.6 hours, including one at the end of the roa
serg [7]

Answer:

5 highway signs

Step-by-step explanation:

5 0
2 years ago
A loon is flying at a height of 10 feet above a lake. The lone dives into the water to catch a fish that is at a depth of 6 feet
Zielflug [23.3K]
I do believe that the answer is 16 feet (D)
5 0
3 years ago
Other questions:
  • Determine whether the given number is a solution of the given equation.
    8·2 answers
  • A children’s sandbox is x feet deep, (10-x) feet wide and (14-x) feet long. What expression would represent the perimeter of the
    5·1 answer
  • A sampling plan states that if 20 incoming bolts are checked and 2 or less defective bolts are discovered, the lot will be rejec
    15·1 answer
  • Put the fraction in order from least to greatest 1/2 1/4 1/3 3/4
    7·2 answers
  • The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 =1/4 (x – 8). what is the s
    8·1 answer
  • Simplifying the distributive property -2(1-5v)
    5·1 answer
  • Solve -5(x-7)^2+30=-20
    12·1 answer
  • I need help with question 6
    8·2 answers
  • Why do you think the two empires did not last very long?​
    8·1 answer
  • Write the equation of the line that passes through the points (-8, -8) and
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!