Step-by-step explanation:
8x = 1
x = 1/8
So x = 1/8 is the correct answer
Answer:
The answer to your question is the last option
Step-by-step explanation:
Quadratic equation
2 = - x + x² - 4
Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.
x² - x - 4 = 0
Identify a, b and c
(1) x² -(1) x - 4 = 0
a = 1 b = -1 c = - 6
Substitution
Answer:
f(x)=(x-1)^2+5 with domain x>1 and range y>5 has inverse g(x)=sqrt(x-5)+1 with domain x>5 and range y>1.
Step-by-step explanation:
The function is a parabola when graphed. It is in vertex form f(x)=a(x-h)^2+k where (h,k) is vertex and a tells us if it's reflected or not or if it's stretched. The thing we need to notice is the vertex because if we cut the graph with a vertical line here the curve will be one to one. So the vertex is (1,5). Let's restrict the domain so x >1.
* if x>1, then x-1>0.
* Also since the parabola opens up, then y>5.
So let's solve y=(x-1)^2+5 for x.
Subtract 5 on both sides:
y-5=(x-1)^2
Take square root of both sides:
Plus/minus sqrt(y-5)=x-1
We want x-1>0:
Sqrt(y-5)=x-1
Add 1 on both sides:
Sqrt(y-5)+1=x
Swap x and y:
Sqrt(x-5)+1=y
x>5
y>1
Divide 6 and 1,500 by each other and you will get 250 so 250 is your answer
Answer:
( -5•2x8y)
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "^-1" was replaced by "^(-1)".
Equation at the end of step 1
((5•(x3))•(y2))•(0-(2x5•y(-1)))
Equation at the end of step
(5x3 • y2) • -2x5y(-1)
Multiplying exponential expressions :
3.1 x3 multiplied by x5 = x(3 + 5) = x8
Multiplying exponential expressions :
3.2 y2 multiplied by y(-1) = y(2 + (-1)) = y1 = y
