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
inysia [295]
3 years ago
6

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?

Mathematics
2 answers:
mixer [17]3 years ago
7 0

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

maksim [4K]3 years ago
3 0
Consider this option:
1. according to the attached graph the equation for line f is f(x)=2x-3 (it is easy to determine it using coordinates of points (0;-3) and (2;1));
2. according to the graph the equation for line g is g(x)=-4x+6 (using coordinates of points (0;6) and (2;-2)).
3. according to the condition g(x)=k*f(x), k=g(x)/f(x)=(-4x+6)/(2x+3)=-2.

answer: -2
You might be interested in
Fill in the blanks in questions 8 through 10.
SVEN [57.7K]

Answer:

45

Step-by-step explanation:

1 minute = 8 revolutions

x minutes= 360 revolutions

Divide 360 by 8

45

The wheel will make 360 revolutions in 45 minutes

Check your work:

If 45 minutes = 360 revolutions, and the wheel revolves 8 times per 1 minute, 8 revolutions x 45 minutes should equal 360 revolutions.

(it does)

6 0
2 years ago
Find the distance between the points (-5, -10) and (2, 4).
Novay_Z [31]
Ok, so I used the equation Y2 (4) - Y1 (-10) over X2 (2) -X1 (-5).
4 - -10 is 14 since if a minus sign is before a negative number, it becomes positive.
Same goes for 2 - -5. It is 7 since the minus sign is before the negative number. Final answer is 14/7 which can be simpflied to 2/1 since 14 divided by 7 =2. So the distance is 14\7, or 2\1.
3 0
3 years ago
Read 2 more answers
Someone help me answer this and show work please!
timurjin [86]

Answer:

Simple

Rise/Run

for one week they run 10 miles

2 weeks 20 miles

3 weeks 30 miles

4 weeks 40 miles

the rate of change would be 10/1 (Why? Because you rise +10 each time per week.)

divide that it would be 10 (:

gOoD lUCk

second answer copied me so.

7 0
3 years ago
Oliver made 8 pints of jam last year. How many pints does he make this year?
Gekata [30.6K]

Answer:

23 pints

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help by looking at the picture, thanks!
Ad libitum [116K]

Answer:

I also got 616, what is the answer??

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Starting salaries of 90 college graduates who have taken a statistics course have a mean of $43,993 and a standard deviation of
    13·1 answer
  • candy wants to have 600 copies of his resume printed. His local print shop charges $22.40 for the first 400 copies and $10 for e
    14·1 answer
  • For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
    13·1 answer
  • The number of possible genetically different gametes for an organism equals 2N, where N is the number of pairs of chromosomes. I
    15·2 answers
  • Find the value of a variable 104,137,154,131 x mean =130
    7·1 answer
  • Mr. Marco painted a picture with an area of 2 2/4 square feet. The painting is 2 feet long. What is the perimeter of the paintin
    11·1 answer
  • What is 3 divided 162
    11·2 answers
  • A. 792 432,795<br> What is 432,795 divided by 792
    11·2 answers
  • Ummmmm i need to get 5 brainliest
    14·1 answer
  • An adult male hippopotamus weighs about 3.5 tons.<br><br> How many pounds are in 3.5 tons?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!