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
Shtirlitz [24]
2 years ago
13

Write equation in standard form y-1= -1/4(x-6)

Mathematics
1 answer:
const2013 [10]2 years ago
6 0

The standard form:

Ax+By=C

---------------------------------------

y-1=-\dfrac{1}{4}(x-6)         <em>use distributive property</em>

y-1=-\dfrac{1}{4}x+\dfrac{3}{2}          <em>multiply both sides by 8</em>

8y-8=-2x+4\cdot3

8y-8=-2x+12           <em>add 2x to both sides</em>

2x+8y-8=12           <em>add 8 to both sides</em>

\boxed{2x+8y=20}

You might be interested in
Solving equations with variables on both sides <br><br><br> 7+9x=6x-2
katrin2010 [14]

Answer:

Here

Step-by-step explanation:

We move all terms to the left:

7+9x-(6x-2)=0

We get rid of parentheses

9x-6x+2+7=0

We add all the numbers together, and all the variables

3x+9=0

We move all terms containing x to the left, all other terms to the right

3x=-9

x=-9/3

x=-3

3 0
2 years ago
Read 2 more answers
Plz help ill give you brainlist
Daniel [21]
Consider this option:
1. formula of perimeter is: P=2(a+b), where a & b - the sides of rectangle.
2. according to the condition 2(x+(x+4))<120; ⇒ x<28
answer: D. x<28
5 0
3 years ago
Find the transition matrix from B to B'. B = {(-1,2), (3, 4)), B' = {(1, 0), (0, 1)} STEP 1: Begin by forming the following matr
8_murik_8 [283]

Answer:  The required matrix is

T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .

Step-by-step explanation:  We are given to find the transition matrix from the bases B to B' as given below :

B = {(-1,2), (3, 4)) and B' = {(1, 0), (0, 1)}.

Let us consider two real numbers a, b such that

(-1,2)=a(1,0)+b(0,1)\\\\\Rightarrow (-1,2)=(a,b)\\\\\Rightarrow a=-1,b=2.

Again, let us consider reals c and d such that

(3,4)=c(1,0)+d(0,1)\\\\\Rightarrow (3,4)=(c,d)\\\\\Rightarrow c=3,d=4.

Therefore, the transition matrix is given by

T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .

Thus, the required matrix is

T=\left[\begin{array}{ccc}-1&3\\2&4\end{array}\right] .

7 0
2 years ago
I have 100 items of product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3.
masya89 [10]

Answer:

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 96.667

The variance is 22.222

b) The probability mass function for the unfilled demand due to lack of stock is

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 3.333

The variance is 33.333

Step-by-step explanation:

If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 1/3 * 90 + 2/3 * 100 = 290/3 = 96.667

The variance is V(X) = E(X²)-E(X)² = (1/3*90² + 2/3*100²) - (290/3)² = 200/9 = 22.222

b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 2/3 * 0 + 1/3 * 10 = 10/3 = 3.333

The variance is 2/3*0² + 1/3*10² = 100/3 = 33.333

4 0
2 years ago
2/x multiplied by what equals 1
Varvara68 [4.7K]

Answer:

Multiplied by2x

2/x ×2x =1

5 0
2 years ago
Other questions:
  • The bar graph shows the recommended number of hours of sleep for each age group.
    7·2 answers
  • Seven hundred and fifteen tickets were sold for a raffle. If you bought 12 of them, what is the probabilty that you have the win
    5·1 answer
  • Help!! Identify the oblique asymptote of f(x) = quantity 2 x squared plus 3 x plus 8 over quantity x plus 3 . (1 point)
    11·1 answer
  • there were 445 non-fiction books but 83 went missing and 45 were transferred to another Library how many non-fiction books are t
    15·1 answer
  • graph the relation in the table. then use the vertical-line test. is the relation a function? -1 &amp; 3, 1 &amp; -1, 2 &amp; 2,
    10·1 answer
  • Suppose that you earned a​ bachelor's degree and now​ you're teaching high school. The school district offers teachers the oppor
    11·1 answer
  • Pleaseeeeeee I have to finish it in 15 minutes???
    15·1 answer
  • What is the prime factor of 236​
    5·1 answer
  • Find the values of x and y which satisfy the following equations
    11·1 answer
  • I've been stuck on this for a while now​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!