Answer:
1 / q^30.
Step-by-step explanation:
[(p^2)(q^5)]^-4 * [(p^-4)(q^5)]^-2
Using the law (a^b)^c = a^bc :-
= p^-8 * q^-20 * p^8 * q^-10
= p^(-8+8) * q^(-20-10)
= p^0 * q^-30
= 1 * q^-30.
= 1 / q^30.
Answer: 6 units left on the x-axis and 4 units down on the y axis
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In 7 years, Jose will be his age + 7 years.
Answer:
or approximately (0.544, 4.179)
Step-by-step explanation:
A function and its tangent lines intersect when their slopes are the same. Find the x-coordinate when the slope of f(x) is equal to 8/7 by taking the derivative of f(x):
![\displaystyle\\f(x)=\sqrt{x}-x+4\\f'(x)=\frac{1}{2}\cdot\frac{1}{\sqrt{x}}-1=\frac{1}{2\sqrt{x}}-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5Cf%28x%29%3D%5Csqrt%7Bx%7D-x%2B4%5C%5Cf%27%28x%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B%5Csqrt%7Bx%7D%7D-1%3D%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D-1)
Set
equal to 8/7 and solve for x:
![\displaystyle \\\frac{1}{2\sqrt{x}}-1=\frac{8}{7},\\x=\frac{49}{900}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5C%5C%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D-1%3D%5Cfrac%7B8%7D%7B7%7D%2C%5C%5Cx%3D%5Cfrac%7B49%7D%7B900%7D)
Therefore,
will intersect at a point of tangency with a line of slope 8/7 at x=49/900. Plug in x=49/900 into
to get the y-coordinate:
![\displaystyle\\y=\sqrt{x}-x+4 \vert_{x=49/900}=\frac{3761}{900}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5C%5Cy%3D%5Csqrt%7Bx%7D-x%2B4%20%5Cvert_%7Bx%3D49%2F900%7D%3D%5Cfrac%7B3761%7D%7B900%7D)
⇒Answer: (49/900, 3761/900) or approximately (0.544, 4.179)
Yes, the relationship between the money exchanged and the local currency represent a function. That function is given as follows: $1 = Rx * 100 where x is the current exchange rate of of the Rand.
<h3>What is a function?</h3>
A function in math is one that depicts the relationship between one dependent variable and an independent variable.
In this case, the independent variable is the US dollars.
Learn more about mathematical functions at:
brainly.com/question/26233
#SPJ1