85 * 0.20 = 17
85 - 17 = $68
He paid $68 for the jacket
y=5x^2+7 is Non-Linear Functions
Option B is correct option.
Step-by-step explanation:
We need to identify Non-Linear Functions from the equations given.
First we will define Non-Linear Functions
<u>Linear Functions</u>
A function having exponent of variable equal to 1 or of the form y=c, where c is constant is called linear function.
<u>Non-Linear Functions</u>
A function that has variable having power greater than 1 (i.e 2 or above) is called non-linear function.
So, from all the options given, only Option B has power greater than 1 i.e 2. All remaining options are linear functions.
So, y=5x^2+7 is Non-Linear Functions
Option B is correct option.
Keywords: Linear and Non-Linear Functions
Learn more about Linear and Non-linear functions at:
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Answer:
d.
Step-by-step explanation:
To convert a root to a fraction in the exponent, remember this rule:
The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.
In this question, the index is 4.
The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.
To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, = 2.
For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.
Step 1: Find the value of one variable in terms of the other.
Step 2: Substitute the value you just found for this variable in the other equation.
Step 3: Use your new value for the second variable to find the first.
Now that we know the values for a and b we can find the value of 4a+b.
A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).