The answer would be d , because you have to add how many of each fish to equal up to the sum of 420 . which is x y . so the first equation is x + y = 420 . then it says he bought 6 times as many parrotfish as he did angelfish so you would have to multiply x which represents angelfish by 6 . to get the second equation of y = 6x .
Answer
2p+12b=12
Step-by step explanation
I used p for plates and b for bowls\
2p+12b=4+(4*2)
2p+12b=12
Answer:
5x + 1 is the simplest form
Step-by-step explanation:
what is equivalent to 10x - (5x -1)
10x - (5x -1) = 10x - 5x + 1
= 5x + 1
Answer:
TRUE
Step-by-step explanation:
tanθ = 1/cotθ
cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.
∴ tanθ is undefined when θ = ±[(2n+1)/2]π.
secθ = 1/cosθ
cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.
∴ secθ is undefined when θ = ±[(2n+1)/2]π.
The tangent and secant functions are undefined for the same values of θ.
Answer:
1. True
2. False
3. True
4. False
5. True
Step-by-step explanation:
1. For a real number a, a + 0 = a.
This is true, any number plus zero is that number.
2. For a real number a, a + (-a) = 1.
This is false. Adding a negative number is the same as subtracting that number. So a + (-a) = a - a = 0
3. For a real numbers a and b la-bl = |b-al.
This is true. Absolute value represents the distance between two numbers. This number can never be negative, therefore la-bl = |b-al.
4. For real numbers a, b, and c, a +(bº c) = (a + b)(a + c).
False. a + (b * c) = a + bc.
If you foil (a + b)(a + c) you will see its equal to a²+ab+ac+bc, which is definitely different than a + (b*c)
5. For rational numbers a and b when b# o, is always a rational number.
True, a rational number is one that can be written as a fraction with two integers. The quotient of two rational numbers can always be written as a fraction with integers.