Answer:
The two numbers are 3 and 5
Step-by-step explanation:
Multiply top equation by 4 to cancel out the Ys
Since X =5, we can plug it into either of the top two equations to find out the value of Y
To double check
The constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3^¼
<h3>Inverse variation</h3>
y = k ÷ x^¼
where,
- Constant of proportionality = k
When x = 3, y = 1
y = k ÷ x^¼
1 = k ÷ 3^¼
1 = k / 3^¼
1 × 3^¼ = k
k = 3^¼
Therefore, the constant of proportionality if y varies inversely as the fourth power of x and when x=3, y=1 is k = 3¼
Learn more about inverse variation:
brainly.com/question/10252139
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You put it in a ratio so it's 24/30 = x/4 so the answer is 3.2 feet
Answer:
y = logx/log8
Step-by-step explanation:
To find the inverse of an equation, you switch the locations of x and y, then solve for y.
So in this case, f(x) = y, and your equation is:
y = 8^x
It would become
x = 8^y
There are multiple ways to solve this- one I usually use is logs, so you take the log of both sides.
log x = ylog8
(when you take the log of something the exponent becomes a coefficient)
Then, y = logx/log8
I hoped this helped!
Answer:
A) 
B) T = -5 °C
Step-by-step explanation:
A) Let T be the change in temperature of the week. T is determined as the total temperature change (-20°C) divided by the number of weeks that have passed (4 weeks). The expression is:
B) In order to simplify the expression, simply perform the division.
This means that the temperature has dropped by 5 degrees each week.
