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
Lorico [155]
3 years ago
10

suppose that y varies directly as x . if y is 24 when x is 6, find the constant of variation and the direct variation equation

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

Step-by-step explanation:

Direct variation can be modeled by y = kx where k is the constant of variation!

So to solve for k all we need to do is substitute in the value for y and x that are given.

So according to the problem y = 24 when x = 6

24 = 6k

Divide both sides by 6

k = 4

So the constant of variation is 4

The direct variation equation would then be

y = 4x

You might be interested in
Find the probability of at least three successes in six trials of a binomial experiment in which the probability of success is 5
Amanda [17]

Answer:

31.3%

Step-by-step explanation:

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is  

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)  

We are interested in the x^3y^3 term which represents exactly 3 successes. Since the probability of success and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is  

20/64 = .3125 which is 31.25% Rounding yo the nearest tenth gives us

8 0
3 years ago
What are the dimensions of the matrix?
salantis [7]

The order of a matrix is m×n where m is the number of rows and n is the number of columns.

can you count and find what are m and n here?

6 0
3 years ago
Rewrite in Polar Form....<br> x^(2)+y^(2)-6y-8=0
skad [1K]
\bf x^2+y^2-6y-8=0\qquad &#10;\begin{cases}&#10;x^2+y^2=r^2\\\\&#10;y=rsin(\theta)&#10;\end{cases}\implies r^2-6rsin(\theta)=8&#10;\\\\\\&#10;\textit{now, we do some grouping}\implies [r^2-6rsin(\theta)]=8&#10;\\\\\\\&#10;[r^2-6rsin(\theta)+\boxed{?}^2]=8\impliedby &#10;\begin{array}{llll}&#10;\textit{so we need a value there to make}\\&#10;\textit{a perfect square trinomial}&#10;\end{array}

\bf 6rsin(\theta)\iff 2\cdot r\cdot  \boxed{3\cdot sin(\theta)}\impliedby \textit{so there}&#10;\\\\\\&#10;\textit{now, bear in mind we're just borrowing from zero, 0}&#10;\\\\&#10;\textit{so if we add, \underline{whatever}, we also have to subtract \underline{whatever}}

\bf [r^2-6rsin(\theta)\underline{+[3sin(\theta)]^2}]\quad \underline{-[3sin(\theta)]^2}=8\\\\&#10;\left. \qquad  \right.\uparrow \\&#10;\textit{so-called "completing the square"}&#10;\\\\\\\&#10;[r-3sin(\theta)]^2=8+[3sin(\theta)]^2\implies [r-3sin(\theta)]^2=8+9sin^2(\theta)&#10;\\\\\\&#10;r-3sin(\theta)=\sqrt{8+9sin^2(\theta)}\implies r=\sqrt{8+9sin^2(\theta)}+3sin(\theta)
3 0
3 years ago
What is the product of -5 and 8?<br> -40<br> О -13<br> 013<br> О 40
Alexeev081 [22]

Answer:

13

Step-by-step explanation:

this would be 13

8 0
3 years ago
Read 2 more answers
-<br> The expression x² - 5 is prime.<br> Is it true or false
lana [24]

Answer:

false

Step-by-step explanation:

X squared minus 5 is not necessarily prime

7 0
3 years ago
Other questions:
  • How do you solve? using either factoring, completing the square, or quadratic formula?
    14·2 answers
  • Mr. Chu is slicing 4 cantaloupe for his class. There are 24 students in the class. If Mr. Chu cuts the cantaloupe to make an equ
    10·2 answers
  • The value of x for which the expressions 3x – 4 and 2x + 1 become
    14·2 answers
  • Write the y-intercept of x=5y-10
    9·1 answer
  • 4-3+2(x-1) if x = 1<br>Help me plzzzz
    15·1 answer
  • Question 8 of 25<br> What is the domain of the graphed function? <br> a<br> b<br> c<br> d
    5·1 answer
  • Please feel me the algebraic expression of this. Added a picture!
    15·1 answer
  • Find the value of x in the triangle shown below.<br> 2=<br> 10<br> 20<br> 1160<br> 10<br> 17
    7·1 answer
  • Pls help... 30 pts.. i'm so tired rn-
    10·2 answers
  • Allie and Ezra are sitting on flagpoles, throwing beanbags at each other. Allie's flagpole is $35$ feet tall. Ezra's flagpole is
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!