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
34kurt
3 years ago
14

Use the four functions below for this question:

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0

Answer:

We have four functions:

For f(x) we have two points (-2,2) and (-1,-1)

we will use two point form which is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

So, on substituting the values we get:

y-2=\frac{-1-2}{-1-(-2)}(x-(-2))

y-2=\frac{-3}{x+2}

y=-3x-4

So, f(x)=-3x-4

We have g(x)=3x-4

Now, we will from h(x) we have two points  let initial point on monday is (0,4) and tuesday (1,1) again use two point form we get:

y-4=-3(x-0)

\Rightarrow y=-3x+4

So, h(x)= -3x+4

Now, we will form j(x) we have three points (2,10) , (-2,6) and (2,22)

We will use (-2,6) and (2,22)  to find the function with two point form.

y-6=\frac{22-6}{2+2}x+2)

\Rightarrow y=4x+14

j(x)= 4x+14

To find the slope we will compare the given function with general equation which is y= mx +c; m is the slope

And to find y-intercept we will put x=0

f(x)=-3x-4

Slope is: -3

And y-intercept is: (0,-4)

g(x)=3x-4

Slope is: 3

And y-intercept is: (0,-4)

h(x)= -3x+4

Slope is: -3

And y-intercept is: (0,4)

j(x)= 4x+14

Slope is: 4

And y-intercept is: (0,14)

Mnenie [13.5K]3 years ago
5 0
We will solve the system:
2 = - 2 m + b
-1 = - m + b / ·(-1 )
--------------------------
2 = - 2 m + b
+
1 = m - b
-----------------
3 = -m,   m= -3,    2 = 6 + b,   b = -4,
f ( x ) = - 3 x - 4
For the linear function h (x)9 we have 3 apples less every day:
h ( x) = - 3 x + 4
- 2 = - 2 m + b
+
10 = 2 m + b
-------------------
8 = 2 b,             b = 4,  m = 3
j ( x ) = 3 x + 4

Four linear functions are:
1 ) f ( x ) = - 3 x - 4 
Linear function has a slope: m = -3, y-intercept: y = -4, zero: x = -4/3 and this function is constantly decreasing.
2 ) g (x ) = 3 x - 4
Function has a slope: m = 3, y-intercept : y =-4, zero: x = 4/3 and it is constantly increasing.
3 ) h ( x ) = - 3 x + 4
Function has a slope: m = -3, y-intercept: y = 4, zero: x = 4/3 and it is constantly decreasing.
4 ) j (x) = 3 x + 4
Function has a slope m = 3, y-intercept : y = 4, zero: x = 4 and it is constantly increasing.
Two linear functions f ( x ) and h ( x ) are parallel ( have an equal slope ), and  also are g ( x ) and j ( x ).   

You might be interested in
6 3/4 % 5 1/2<br><br> This % means divided by
yuradex [85]
Divided by the 5 1/2
8 0
3 years ago
Which function is represented by the graph?<br> D|-x+ 31<br> D - x + 31<br> -|x1 + 3<br> |-x] + 3
Troyanec [42]

Answer:

The answer is C .

Step-by-step explanation:

“ -/x/ + 3”

5 0
3 years ago
7(x-2)-3(3+x)&lt;1<br><br> Solve the inequality
Zarrin [17]

7(x - 2) - 3(3 + X) greater than 1

7 X - 14 - 9 - 3 x greater than 1

4 x -23 greater than 1

4 x greater than 1 + 23

x is greater than 6

4 0
3 years ago
Read 2 more answers
Why didn’t the Shah get his own temple?
mamaluj [8]
I think its B I`m not sure
7 0
3 years ago
Read 2 more answers
Evaluate the expression as a fraction in simplest form -3.75*.8333-2.333
Ronch [10]

Answer:

-5.457875

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • How is the data represented on a scatterplot that depicts an exponential model?
    6·1 answer
  • Is (x+a) (x+b) the same thing as x(a+x+b)?
    7·2 answers
  • A box of nails weighs 1-5/6 pounds. What is the weight of 12 boxes?
    7·2 answers
  • Cual es la circunferencia un circulo cuyo diámetro mide 8cm
    9·1 answer
  • Which value of x makes this equation true?
    9·2 answers
  • Round 0.712 to the nearest hundredth.​
    15·2 answers
  • The amount of leather needed for a basketball is 7328 3 cm ^ 2 Determine the diameter of the ball .
    10·1 answer
  • A college graduate is considering two different companies to apply to for a job. Acme Corp lists this sample of salaries on thei
    10·1 answer
  • &lt;1 and &lt;2 are supplementary angles m&lt;1 = x-29 and m&lt;2 = x+71 Find the measure of each angle
    12·1 answer
  • At the beginning of each school year, every grade level must elect a president, treasurer, and secretary. If the sophomore class
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!