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
Lilit [14]
3 years ago
15

Y varies directly as x squared. y is 18 when x is 3. Find y if x is 4. Any help? thanks ​

Mathematics
1 answer:
stealth61 [152]3 years ago
4 0

Answer:

Step-by-step explanation:

y ∝ x^2

Introducing the proportionality constant, we have  

y = kx^2

Given : y= 18 when x = 3

substitute the given values in order to get the constant

i.e 18 = k x 3^2

     18 = 9k

      k = 2

therefore the formula connecting  x and y

⇒ y = 2x^2

To find y if x is 4, just substitute x = 4 into the formula connecting x and y

i.e y = 2 x 4^2

       = 2 x 16

       = 32

You might be interested in
How can I prove that
Citrus2011 [14]

I can prove by being smart then that if you tell me all the ansers

6 0
4 years ago
Penny joined a yoga studio that charges a $25 membership fee and $45 each month. Assume y = total cost and x = number of months.
nataly862011 [7]

Answer:

y=45x+25

y = total cost and x = number of months.

3 0
3 years ago
Which expression is equivalent to<br> x2 - 8x + 13 = 0
Mila [183]

Answer:

for 7 i believe its D

Step-by-step explanation:

7 0
3 years ago
Suppose that a function​ f(x) is defined for all real values of x except at xequals=c. can anything be said about the existence
Margaret [11]

we are given that

f(x) is defined for all values of x except at x=c

Limit may or may not exist

case-1:

If there is hole at x=c , then limit exist

case-2:

If there is vertical asymptote at x=c , then limit does not exist

Examples:

case-1:

\lim_{x \to c} \frac{x^2-cx}{(x-c)}

We can simplify it

\lim_{x \to c} \frac{x(x-c)}{(x-c)}

=\lim_{x \to c} x

=c

so, we can see that limit exist and it's value defined

case-2:

\lim_{x \to c} \frac{1}{(x-c)}

Left limit is

\lim_{x \to c-} \frac{1}{(x-c)}

=-\infty

Right Limit is

\lim_{x \to c+} \frac{1}{(x-c)}

=+\infty

so, we can see that left limit is not equal to right limit

so, limit does not exist

4 0
3 years ago
Hi, can you help me to find (if passible) the complement andsupplement of the angle 3pi/ 4.
nika2105 [10]

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees.

In radians this are

\begin{gathered} \frac{\pi}{2}\text{ for }90\degree \\ \pi\text{ for }180\degree \end{gathered}

To find the complement of 3π/4, subtract it by π/2

\frac{\pi}{2}-\frac{3\pi}{4}=-\frac{\pi}{4}

To find the supplement of 3π/4, subtract it by π.

undefined

6 0
1 year ago
Other questions:
  • What is the value of the expression 4x+y2y−x when x = 2 and y = 4?
    7·1 answer
  • An employee was randomly chosen from a company.If the expected value of the age of the employee is ____ years old, the mean age
    13·1 answer
  • B) Work out (6 * 10^2) /(3 x 10^-5)<br> Give your answer in standard form.
    13·1 answer
  • Find the image of each polygon with the given vertices after a dilation centered at the origin with the given scale factor. J(2,
    9·1 answer
  • 4 math problem
    14·2 answers
  • 1,000,000 into scientific notation
    13·2 answers
  • Explain how to find the value of x. Be sure to include the postulates, definitions and theorems that justify your answer.
    10·1 answer
  • What is the range of first 4 even numbers greater than 7?
    11·1 answer
  • Miss Wendorf used 16 gallons of gas in 5 days. Find 2 answers that describe the average amount of gas Miss Wendorf used per day.
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B81%20%5Ctimes%208%7D%20" id="TexFormula1" title=" \sqrt{81 \times 8} " alt=" \sqr
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!