Slope intercept form is: y=mx+b
For the other line to be parallel they must have the same slope so:
y=5x+b, using the point (4,5) we can solve for the y-intercept, or "b"
5=5(4)+b
5=20+b
b=-15 so the line is:
y=5x-15
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
So there are 20 people in the family.
The total cost of the tickets were $100. Tickets for adults cost $8 and children cost $4.
To find the answer for the number of adults you need to divide the $100 by $8 and do the same for children but divide the $100 by $4.
So 5 of the family members were adults and 15 were children.
5 adults = $40
15 children = $ 60
Answer:
The frequency = 5/2π
Step-by-step explanation:
* Lets revise some facts about the trigonometry function
- If the function is f(x) = A sin (B x + C) + D
* A is the amplitude
- The amplitude is the height from highest to lowest points and
divide the answer by 2
* The period is 2π/B
- The period is the distance from one peak to the next peak
- Period and Frequency are related where frequency = 1/period
* C is the horizontal shift
- The horizontal shift is how far the function is shifted to left
(C is positive) or to right (C is negative) from the original position.
* D is the vertical shift
- The vertical shift is how far the function is shifted vertically up
(D is positive) or down (D is negative) from the original position.
* Lets solve the problem
∵ f(x) = 3 cos (5x) + 2
∵ f(x) = A sin (B x + C) + D
∴ A = 3 , B = 5 , C = 0 , D = 2
∵ The period = 2π/B
∴ The period = 2π/5
∵ The frequency = 1/period
∴ The frequency = 1/(2π/5) ⇒ multiply up and down by 5
∴ The frequency = 5/2π
