<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
To begin with, equivalent fractions represent the same part of a whole number. So I need to find a fraction, with a denominator of 20, that is the same value as 1/2:
1/2 = ?/20
1*10/2*10 = 10/20
Since the denominator needed to be 20, I multiplied the numerator and the denominator (1/2) by 10 to get 10/20. So, 1/2 and 10/20 are equivalent.
There is a formula for that;
Total time = (Worker 1 * Worker 2) / (Worker 1 + Worker 2)
Total time = (80 * 120) / (80 + 120)
Total time = 9,600 / 200
Total time = 48 minutes
Answer:
d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.
Step-by-step explanation:
This is an exercise in PEMDAS, the order of arithmetic operation:
parentheses > exponents > multiplication and division > addition and subtraction.
[(3² × 5⁰)/4]² = [(9 × 1)/4]² = (9/4)² = 81/16
3⁴ × 1²/4² = 81 × 1/16 = 81/16
a. is wrong. 3¹ × 1²/4² = 3 × 1/16 = 3/16
b. is wrong. [(3² × 0)/4]² = [(9 × 0)/4]² = (0/4)² = 0² = 0
c. is wrong. [(3² × 0)/4]² = 0
Answer:
y = 2/5x + 39/5
Step-by-step explanation:
point slope form is y = mx + b
so far we have y = 2/5x + b
m is slope which is given. We need to find b which is y-intercept.
They give us the point (-2,7). We can plug this into the equation to find b.
7 = 2/5(-2) + b
7 = -4/5 + b
b = 39/5
The equation now looks like y = 2/5x + 39/5
