A teacher offers her students 2 prizes when they get perfect scores on their spelling quizzes. If one of her students gets a per
1 answer:
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Answer:
x = 32 y = 16 z = 64
Step-by-step explanation:
x is the 1st number
y is the 2nd number
z is the 3rd number
The first number is twice the second number so
x = 2 y
The third number is twice the first number.
z = 2 x
Their sum is 112
x + y + z = 112
Plus in what we know:
x + y + z = 112
2 y + y + 2x = 112
3y + 2x = 112 Let's solve for y and subtract 2x from each side
3y = 112 - 2x Divide both sides by 3
y =
Now plug our answer back in to solve for x.
x = 2y
x = 2 ( )
x = (224 - 4x) / 3 Multiply each side by 3.
3x = 224 - 4x Add 4x to each side
3x + 4x = 224
7x = 224 Divide each side by 7
7x / 7 = 224 / 7
x = 32
Now we can solve for z.
z = 2x
z = 2 ( 32 )
z = 64
Now we can solve for the numerical value of y.
x + y + z = 112
32 + y + 64 = 112
96 + y = 112 Subtract 96 from each side.
y = 112 - 96
y = 16
The domain of f(x) is x > -3.
Given that
Function;
We have to determine
The domain of f(x).
According to the question
To determine the domain of the function following all the steps given below.
The domain is defined as the set, which is to be input in a function. Or, we can say input values that satisfy a function.
Function;
Then,
The domain of the function,
The domain is x > -3,
Hence, the domain of f(x) is x > -3.
To know more about the Domain click the link given below.