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
ehidna [41]
3 years ago
5

Here's a graph of a linear function. write the equation that describes that function.

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

Step-by-step explanation:

slope intercept form  =>   Y = mx + b  

find m... the slope by using any two points on the line

p1 = (0,5)  by inspection

p2=(4,6)  by inspection

find m  = y2-y1 / x2-x1

      m   = 6 - 5 / 4 - 0  

      m    =1 / 4

then use the slope intercept formula

y = 1/4x + 5      for your answer.  we know b = 5 b/c thats where the line crosses the y axis.

y = \frac{1}{4}x + 5    is the answer

You might be interested in
Describe a way to calculate 304-81 mentally by using reasoning other that the common subtraction algorithm. Then write a coheren
Leno4ka [110]

Answer:

A simple way to mentally subtract is to simplify the numbers, subtract, then subtract or add for the simplified answer.

Step-by-step explanation:

A simple way to mentally subtract is to simplify the numbers, subtract, then subtract or add for the simplified answer. For this 304 - 81 is easier as 300 - 80. Make note that we took away 4 from 304 and 1 from 81. Now we just subtract mentally, and 300 - 80 = 220. If we took 4 from 304, this means that our answer should be 4 less, since 4 less would be 304 - 80 = 216. If we took 1 from 81, then we add 1 back to get the equation 304 - 81 = 217.

304 - 81 = ?

300 - 80 = 220

304 - 80 = 216

304 - 81 = 217

7 0
3 years ago
Read 2 more answers
A woman in a highland village in the Andes knits sweaters and sells them for export. She also takes care of her family and helps
Mnenie [13.5K]

Answer:

Expected number of sweaters per month can be given as follows:

E(X) = Σ x P(X = x)

Now,

E(X) = [2 * 0.1 + 3* 0.1+ 4* 0.2 + 5* 0.3 + 6* 0.2 + 7 * 0.1]

E(X) = 4.7.

Var(X) = E(X^2) – [E(X)]^2

     We have E(X) = 4.7. Thus, [E(X)]2= 4.7*4.7 = 22.09.

Now E(X^2) = [2*2 * 0.1 + 3*3* 0.1+ 4*4* 0.2 + 5*5* 0.3 + 6*6* 0.2 + 7*7*0.1]

    E(X^2) = 24.1

Thus by formula, Var(X) = E(X2) – [E(X)]2

Var(X) = 24.1-22.09

Var(X) = 2.01

Given that exporter pays the $12 for each sweater. The woman pays $2 per sweater. The cost of shipment is $3 irrespective of the number of sweaters. Now, let m is the number of sweaters she made. Thus, the total cost she would have to pay would be

Total cost by woman = 2m+3

The total cost paid by the exporter would be = 12m.

Now the profit of woman would be given by,

                  = The total cost exporter pay – cost paid by the woman

                 = 12m – (2m +3)

                 = 12m – 2m -3

                 = 10m – 3.

Now expected profit made by the woman is given in the following table below:

E(Profit) = Σ profit* P(X = x)

In a similar way, as we have done in part (a).

E(Profit) = [17 * 0.1 + 27* 0.1+ 37* 0.2 + 47* 0.3 + 57* 0.2 + 67 * 0.1]

E(Profit) = 44.

Now, we calculate the variance:

Var(profit) = E(profit^2) – [E(profit)]^2

Var(profit) =

E(profit^2) = [17*17 * 0.1 + 27*27* 0.1+ 37*37* 0.2 + 47*47* 0.3 + 57*57* 0.2 + 67*67*0.1]

    E(profit^2) = 2137.

[E(profit)]^2 = 44*44 = 1936.

Thus, the variance can be given as =

Var(profit)= 2137 – 1936

Var(profit) = 201.

6 0
3 years ago
Which of the following options correctly represents the complete factored form of the polynomial F(x)=x^4-3x^2-4?
Bumek [7]

Answer:

D

Step-by-step explanation:

Let's substitute a for x²:

x^4 - 3x² - 4

a² - 3a - 4

Now, this looks like something that is much more factorisable:

a² - 3a - 4 = (a - 4)(a + 1)

Plug x² back in for a:

(a - 4)(a + 1)

(x² - 4)(x² + 1)

The first one is a difference of squares, which can be factored into:

x² - 4 = (x + 2)(x - 2)

The second one can also be treated as a difference of squares:

x² + 1 = x² - (-1) = (x + √-1)(x - √-1) = (x + i)(x - i)

The answer is (x + 2)(x - 2)(x + i)(x - i), or D.

6 0
3 years ago
Read 2 more answers
If a large sized pizza of diameter 35 cm is kept on a rectangular base of dimensions 50 cm x 60 cm. Find the area of the base ex
Yuki888 [10]

Answer:

2037.89

Step-by-step explanation:

The area of a circle is πr²

This means that the area of the pizza is π*17.5^2

This means that the area =962.11275016187

We then need to find the area of a rectangle which is shown throuhg lenght*width

50*60=3000

We then need to find out the area of the box excluding the pizza so we subtract the area of a pizza

so we have

3000-962.11275016187=2,037.88724983813

Round and get 2037.89

7 0
3 years ago
Write the equation of a line that passes through the point (-8,9) and has a<br> slope of -3/2.
MariettaO [177]

Answer:

y-9 = (-3/2)(x+8)

Step-by-step explanation:

point slope form: given (a,b) and slope m the equation is

y-b = m(x-a)

now just plug you given points in

y-9 = (-3/2)(x+8)

6 0
3 years ago
Other questions:
  • Dana can jump a rope 264 times in 4 minutes. How many jumps can Dana make in one minute?
    8·2 answers
  • Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
    10·1 answer
  • What is the slope-intercept form of the equation of the line that passes through the points (9, 5) and (4, 1) ?
    6·1 answer
  • Determine the solutions to the system of equation.<br> y= x^2 – 2 and y= -x + 4
    7·1 answer
  • Which product is shown on this number line
    7·1 answer
  • The length of a rectangular garden is 10 yards and it’s width is 10 feet. What is the perimeter of the garden in feet
    10·1 answer
  • There are 20 boys in Fred's scout troop, and 12 of them are going on the 50-mile hike. What percent of the boys are going on the
    8·2 answers
  • I need help, sleps plzz , i dont understand plzzz dont ignoree!!!!!!!!!!!!
    14·1 answer
  • What is the value of x?<br> x = ?
    12·2 answers
  • Will give 100 points if you answer im so tired please answer fast
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!