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
Valentin [98]
2 years ago
5

If y is proportional to the sqaure root of x and y equal x when x equal 5,evaluate y when x eqaul 9.​

Mathematics
1 answer:
Law Incorporation [45]2 years ago
6 0

Answer:

y = 3\, \sqrt{5} when x = 9.

Step-by-step explanation:

The question states that y is proportional to \sqrt{x}. In other words, there is a constant a (a \ne 0) such that y = a\, \sqrt{x} for all x \ge 0.

The question also states that y = x when x = 5. Make use of this equality to find the value of a.

Since x = 5 and y = x, it must be true that y = 5. Substitute x = 5\! and y = 5\! into the equation y = a\, \sqrt{x} and solve for a:

5 = a\, \sqrt{5}.

\begin{aligned}a &= \frac{5}{\sqrt{5}} \\ &= \sqrt{5}\end{aligned}.

Thus, y = \sqrt{5}\, (\sqrt{x}) for all x \ge 0.

Substitute in the value x = 9 to find the corresponding value of y:

\begin{aligned} y &= \sqrt{5} \, (\sqrt{9}) \\ &= \sqrt{5} \times 3 \\ &= 3\, \sqrt{5}\end{aligned}.

You might be interested in
Please help taking a test and can’t figure it out!!!
guajiro [1.7K]
I’m pretty sure the answer would be A
3 0
3 years ago
Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?
FrozenT [24]
This is a strange question, and f(x) may not even exist. Why do I say that? Well..

[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).

[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!

Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.

To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.
4 0
3 years ago
2. (8 points) If you have n gold coins with one a fake that you know is slightly lighter, how many weighings on the pan balance
pogonyaev

Answer:

Only 1 Time

Step-by-step explanation:

Since you know that one coin is fake and that the coin is lighter than the rest , then you would only need to weigh all the coins together 1 time to ensure that you will find the fake coin. We can determine this by doing the following.

<u>Example:</u>

Lets say we have 100 coins that weigh 1 gr each. Meaning that the total weight of the 100 coins would be (100coins*1gr = 100gr) <em><u>IF</u></em> there are no fake coins in the batch.

Knowing this we can weigh the entire batch 1 time and if the total weight is less than 100gr we know that the fake coin is in that batch.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
Which. values are solutions to the inequality below
Naily [24]

Answer:

I think it's a or b but if I get you this wrong I'm sorry try with a first then b again I aploizge if I get you this wrong.

4 0
3 years ago
Read 2 more answers
What is 23x92? Give brainliest.
Volgvan

Answer:

2116

Step-by-step explanation:

multiplication!

8 0
3 years ago
Read 2 more answers
Other questions:
  • If 9a+8b+9c=-9 what is 81c+72b+ 81a
    7·2 answers
  • " Pentagon ABCDE and pentagon A’B’C’D’E’ are shown on the coordinate plane below.
    13·2 answers
  • Which of the following represents the area of a rectangle whose length is x − 7 and whose width is x + 12? (1 point) a.\x2+x − 8
    13·1 answer
  • Choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8
    14·1 answer
  • The square root of 3 is an irrational number True False​
    7·2 answers
  • The price of a washing machine was decreased by 20% to £640.
    13·1 answer
  • A number cube is marked with 1,2,3,4,5,6 on its faces. If you roll the cube one time, what is P(2)
    10·1 answer
  • I NEED HELP ASAP!!!!!
    6·1 answer
  • At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom
    11·1 answer
  • Identify the slope and y-intercept of the line y=−3x+7?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!