Answer:
.
Step-by-step explanation:
The given expression is

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.
Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.
Therefore, the required expression is
.
Answer:
z = 5
Step-by-step explanation:
Here, I am using the 30 60 90 right triangle rule
7+3 = 2x
z = 5
x = 5√3
The given point is (0,-12).
It is required to tell whether the point is an x-intercept or a y-intercept.
Recall that the first coordinate of a coordinate point represents the x-coordinate, while the second coordinate represents the y-coordinate.
The x-intercept is the point where the y-coordinate is zero.
The y-intercept is the point where the x-coordinate is zero.
Notice that the given point has an x-coordinate of zero; this means that the given point is a y-intercept.
The point is a y-intercept.
Answer:
b. x = 0 ; (0,4)
Step-by-step explanation:
To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.
Please see the attached image below, to find more information about the graph
.
The equation is:
y=2*x^2+4
We can appreciate that the axis of symmetry corresponds to the y-axis, which is equal to the line x = 0
The vertex corresponds to the minimum point of the function.
V = (0,4)
Correct option: b.
Answer:
£58,800
Step-by-step explanation:
The answer can be calculated using
FV=p(1+r/n)^nt
P=£50,000
r=2%=0.02
n=12
t=2009 to 2017=8 years
FV=p(1+r/n)^nt
=50,000(1+0.02/12)^12*8
=50,000(1+0.0017)^96
=50,000(1.0017)^96
=50,000(1.1771)
=58,855
FV=58,855
To the nearest £100=£58,800