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
TEA [102]
3 years ago
7

The value of y varies directly with x2, and y = 150 when x = 5. What is the value of y when x=3?

Mathematics
1 answer:
kow [346]3 years ago
3 0
<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>
You might be interested in
If there are 75 people at a movie and 36% of them are men, how many men are at the movie?
Musya8 [376]

75 * .36 = 27 men

****************************************************************


8 0
3 years ago
You spend $20 total on tubes of paint and disposable brushes for an art project. Tubes of paint cost $4.00 each and paintbrushes
hram777 [196]
You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b  ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20   ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4   ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b 
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.
8 0
3 years ago
The table shows a linear function.
sergejj [24]

Answer:

\large\boxed{y=\dfrac{5}{3}x+9}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept → (0, b)</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the table we have an y-intercept (0, 9) → b = 9.

Take other point from the table (-6, -1).

Calculate the slope:

m=\dfrac{-1-9}{-6-0}=\dfrac{-10}{-6}=\dfrac{5}{3}

Finally:

y=\dfrac{5}{3}x+9

7 0
3 years ago
The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number
castortr0y [4]
I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
Please help me with this one and I will thank you
Alexxandr [17]

I would but my teacher has a ad blocker on and I cant access the attachment :P


7 0
3 years ago
Read 2 more answers
Other questions:
  • The ratio of the number of boys to girls is 5:7 if there are 600 studens in school how many girls are there
    11·1 answer
  • Identify the type of sample used. Coaches pick 20 boys and 20 girls randomly from the basketball league to survey about practice
    13·2 answers
  • 11. A city phone book has 86 pages filled with residents' names. There are
    7·1 answer
  • 2x + y = 7
    15·1 answer
  • For the above right-angled triangle, which of the following is true?
    5·1 answer
  • There are 3 types of bills, 4 quarters, and 5 dimes in Mrs. Short's wallet. The contains twice as many 1 bills as 5 dollar bills
    10·2 answers
  • Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice
    7·1 answer
  • Pls help with these math questions. Don't just do it for points pls I really need help . 3 questions Multiple choice
    7·1 answer
  • The ratio of the number of boys to the number of girls at a school is 4:5. If there are 120 boys, how many students are there al
    10·1 answer
  • PLEASE HELP I HAVE A TEXT TOMORROW
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!