The answer is a 12% increase.
Answer:
Step-by-step explanation:
You have to use Point Slope Form:
- y - Y1 = m (x - X1)
- m is the slope
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
About Problem:
- Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
- -3 represents X1 in y - Y1 = m (x - X1) form
- -1 represents Y1 in y - Y1 = m (x - X1) form
y - Y1 = m (x - X1)
y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form
If you want to solve it, & put it in Slope Intercept form, it would look like this:
y = mx + b
y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...
Really really sorry if I'm incorrect...
Answer:
me
Step-by-step explanation:
PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
For this case we have the following expression:
(xy ^ -6) / (x ^ -4y ^ 2)
By power properties we can rewrite the expression as:
(x * x ^ 4) / (y ^ 6 * y ^ 2)
Then, for power properties:
Same exponents are added:
(x ^ (4 + 1)) / (y ^ (6 + 2))
(x ^ 5) / (y ^ 8)
Answer:
An expression after the negative exponents have been eliminated is:
(x ^ 5) / (y ^ 8)
