Answer: Answer: The answer should be x = -1. Hope this helps!
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).
Answer:
y = 1/4x - 1.75
Step-by-step explanation:
standard form is y = mx + b
to get m you need to calculate the slope between the given points
m= (y1-y2)/(x1-x2)
m = (-1 - (-3))/(3 - (-5)) = 2/8 = 1/4
now you need to find the constant b by plugging in one of your points
y = 1/4x + b
-1 = 1/4(3) + b
b = -1 - (3/4)
b = -7/4 or -1.75
The GCF will be found as follows:
-27x^2yz^5+15x^3z^3
-27x^2yz^5=-3*3*3*x*x*y*z*z*z*z*z
15x^3z^3=3*5*x*x*x*z*z*z
the GCF is the product of the lowest power of each factor that appears in each term
thus we shall have:
3*z*z*z*x*x
=3z^3x^2
Answer:
x = 0.125
Step-by-step explanation:
Given:
log₃(x²) = 1
Now,
From the properties of log
logₓ (z)= 
(where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
therefore,
the given equation can be deduced as:
log₃(x²) = 1
or
2log₃(x) = 1
or
log₃(x) = 0.5
into,
x = 0.5³
or
x = 0.125
