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
Dennis_Churaev [7]
3 years ago
7

Write an equation in standard form for a line that passes through (2,2) and (0,-3).

Mathematics
1 answer:
asambeis [7]3 years ago
8 0
So,

The standard form is:
y = mx + b

First, we find "m," the slope.  Subtract the y-coordinates from each other.  Do likewise with the x-coordinates.

2 - -3 = 5
2 - 0 = 2

Slope = 5/2

y= \frac{5}{2} x+b

Now, we can substitute the second solution into this equation for x and y and solve for "b."

-3= \frac{5}{2} *0+b

-3= b

Now we have our complete equation.

y= \frac{5}{2} x-3
You might be interested in
John wants to fence in a portion of his back yard. The dimensions of the area is 12 1/2 yards long and 5 1/2 yards wide. How man
Masteriza [31]
25 and 11... so, ultimately, it would be 36 feet of fencing that he needs.

5 0
3 years ago
Read 2 more answers
Determine the median of the numbers: 6 5 2 2 5 00
zavuch27 [327]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the
Likurg_2 [28]

Answer:

(a)  moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, P(X)=\frac{1}{6}

(a) Moment generating function can be written as M_{x}(t).

M_x(t)=\sum_{x=1}^{6} P(X=x)

M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}

M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) Now, find E(X) \text { and } E\((X^{2}) using moment generating function

M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)

M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)  

\Rightarrow E(X)=\frac{21}{6}

M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)

M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)

\Rightarrow E\left(X^{2}\right)=\frac{91}{6}  

Hence, (a) moment generating function for X is \frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right).

(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

6 0
3 years ago
Is 1/9 >, <, or = {Negative} -4?
kvasek [131]

<u>Answer:</u>

1/9 > -4

because -4 is a negative no less than 0. whereas 1/9 is a positive no greater than 0.

So negative no can't be greater than positive no.

6 0
3 years ago
The cost formula for a company can be modeled by C = 38 x + 19100 where x represents the number of items made. A formula for the
ruslelena [56]

Answer: The company must sold 382 units to break even.

Step-by-step explanation:

Hi, there is no question asked, so I suppose that  you need to  find the number of items (x) to break even.

To answer this question we have to equal both sides of the equations:

Since costs equal its income:

C=R

So:

38x +19100= 88x

Solving for x

19100= 88x-38x

19100=50x

19100/50 =x

382=x

The company must sold 382 units to break even.

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Jackie made 12 quarts of lemonade. Jackie says she made 6 pints of lemonade. Complete the explanation of Jackie's error. Then fi
    7·1 answer
  • How do I graph g(x)=f(x)+5
    5·1 answer
  • Which number shows 8.356 rounded to the nearest hundredth??????What is the answer??
    7·2 answers
  • Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what f
    13·1 answer
  • Y=-4x+6<br> Find an equation for the inverse relation
    11·1 answer
  • Q5. A bumper bag of icing sugar weighs 23.4 kg
    12·1 answer
  • Solve the following system : -x + 5y = 8 and 3x + 7y = -2
    7·1 answer
  • F(x)=x^2. what is g(x)?
    10·1 answer
  • 2.386 rounded to the nearest tenth
    8·1 answer
  • Solve for z. <br> X=3y+3z
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!