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
romanna [79]
3 years ago
12

If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0

Answer:

d

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = \frac{1}{8} when x = \frac{1}{2}, then

\frac{1}{8} = k(\frac{1}{2} )² = \frac{1}{4} k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = \frac{1}{2}

y = \frac{1}{2} x² ← equation of proportion

When y = \frac{9}{2} , then

\frac{9}{2} = \frac{1}{2} x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± \sqrt{9} = ± 3

with positive value x = 3 → d

You might be interested in
Which value for x makes the sentence true?
marshall27 [118]

43/76

This is the answer

3 0
3 years ago
Read 2 more answers
Please help will mark you brainliest. ( all links will be reported)
cestrela7 [59]

Answer:

$6.22

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the volume of a square pyramid with a base side length of 9 and a height of 11.
andre [41]
V = 297 for a square pyramid, I hope its right..
3 0
3 years ago
Read 2 more answers
Juan went out to eat dinner, and the meal cost $60.00. If Juan received an 18% discount, what was the total value of the discoun
DaniilM [7]

Answer:

The total value of the discount was $10.80.

Step-by-step explanation:

Since we are finding the value of the discount, we just need to find 18% of 60.

We can convert 18% into a decimal.

18%=0.18

Multiply.

0.18*60=10.8

The total value of the discount was $10.80.

6 0
3 years ago
By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji
Dafna11 [192]

Answer:

There are a total of  { 6 \choose 3} = 20 functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

{6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20  

3 0
3 years ago
Other questions:
  • How many solutions does the equation have? If you answer correctly you get a good amount of points, please give a good detailed
    8·2 answers
  • can someone please tell me the equation for the word problem it substitution method . worth 20 points.​
    12·1 answer
  • What number divided by 6 leaves a remainder of 5, divided by 5?
    12·1 answer
  • What is the median of this set of data?<br>1, 2,5, 6,9. <br> 1. <br> 5. <br> 8. <br> 9​
    14·1 answer
  • Write an equation of the line that passes through this pair of points<br> (-3, -1 ) And ( 3, -3)
    11·1 answer
  • What is the slope of the line represented by the equation y= 4/5x-3
    15·1 answer
  • A Rectangular has area 12a^2 and perimeter 14a what are the dimensions of this Rectangular?​
    14·1 answer
  • Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model
    10·1 answer
  • Crecimiento de arboles
    12·1 answer
  • Help please
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!