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Drupady [299]
2 years ago
10

Suppose that y is inversely proportional to the 4th power of x, and that y=16 when x=6. What is y when x=3? Round your answer to

two decimal places if necessary.
Mathematics
2 answers:
Ede4ka [16]2 years ago
7 0
Please I’m I right ??

Alexeev081 [22]2 years ago
4 0

Answer:

<u>y = 1</u>

Step-by-step explanation:

<u>Given</u>

  • y ∝ x⁴

⇒ y = kx⁴

<u>Finding the proportionality constant, k</u>

  • y = 16 and x = 3
  • 16 = k (6)⁴
  • 16 = 1296k
  • k = 16/1296
  • k = 1/81

<u>Finding y</u>

  • y = 1/81 x (3)⁴
  • y = 1/81 x (81)
  • <u>y = 1</u>
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One third of a number is three more than one fourth the same number. What is the number.
Oduvanchick [21]
(1/3)x=3+(1/4)x
is the same as
(4/12)x=(36/12)+(3/12)x
subtract the 3/12x from each side
(1/12)x=36/12
multiply by 12 on each side
x=36
8 0
3 years ago
An expression is shown.
Colt1911 [192]

Answer:

D

Step-by-step explanation:

(2x - 3) + [ 4x(3x + 2)]

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5 0
3 years ago
Which point is collinear with points a and d
Art [367]
B. (6, -8)

First, you need to figure out the slope of the line

(y1 - y2) / (x1 - x2)

After substituting points D(-3, 4) A(3, -4)

[4 - (-4)] / (-3 - 3)
(8) / (-6)

The slope of the line is -8/6 or -4/3 simplified

Then you can put it in point slope form:

(y - y1) = m(x - x1)

(y - y1) = -4/3(x - x1)

The point that I am using for point slope form is A(3, -4)

[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)

Next you have to simplify the equation so that y is isolated

y + 4 = -4/3(x - 3)

First distribute the -4/3

y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4

Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x

Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal

For example) (6, -8)
-8 = -4/3(6)
-8 = -8

So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D

~~hope this helps~~

6 0
3 years ago
What is the value of -|65.6|
Alja [10]
The answer is -65.6 because the negative sign is on the out side of the absolute value signs.
6 0
3 years ago
Read 2 more answers
Brittany and Natalie, start cycling together from their home to school, which is 14.4 miles away. Natalie takes 40 minutes to re
prohojiy [21]

Answer:

7.2

Step-by-step explanation:

1. Natalie needed 40 minutes to get to school. In hours 40 minutes is 40/60= 2/3 hour (because there are 60 minutes in an hour). so her speed is 14.4/(2/3)= 14.4*3/2= 21.6 mph.

2. Britany needed 40+20= 60 min. 60 min= 1 hour. so she needed 1 hour her speed is 14,4/1= 14.4mph

3. The difference 21.6-14.4=7.2 is the answer .

3 0
3 years ago
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