Answer:
When x = 5, y = 1.44
Step-by-step explanation:
We know that when 'y' varies inversely with 'x', we get the equation
y ∝ 1/x
y = k/x
where 'k' is called the constant of proportionality
In our case, given that y varies inversely as the square of x.
so
y ∝ 1/x²
y = k/x²
When x = 3, y = 4, we need to find k
y = k/x²
k = yx²
k = 4(3)²
k = 36
so, the value of k = 36
Now, we need to find y when x = 5
so substitute k = 36, x = 5 in the equation
y = k/x²
y = 36 / (5)²
y = 36 / 25
y = 1.44
Therefore,
Answer:
d
Step-by-step explanation:
(10x+5) + (6x-1)=180
10x+5+6x-1=180
16x+4=180
16x+4=180
16x=180-4
16x=178
x=11
When we have a negative exponent, we use the negative exponent property: a negative exponent with it’s base must be the reciprocal of the base and negative exponent, in order to make it a positive exponent.
Solving:
(-3)^-3/1
We made the base of -3 and exponent of -3 a fraction over 1, because we will need to take the reciprocal (flipped upside down fraction) of it.
1/(-3)^3
We now have a positive exponent. We took the reciprocal of (-3)^-3/1, so we just flipped the fraction upside down to 1/(-3)^3, which gave us a positive exponent.
1/(-3)^3 = 1/(-3)(-3)(-3) by the definition of an exponent (how many times a number multiplies itself).
Now , we just simply by multiplying -3 to itself 3 times.
1/-27 is the answer.