Which equation represents a linear function? Equation 1: y = 2x2 + 1 Equation 2: y = 8x + 1 Equation 3: y = 5x3 – 1 Equation 4:
2 answers:
Answer:
Equation 2:
Step-by-step explanation:
A linear function or equation is one in which the variables involved have no exponents other than 1.
the options are:
Equation 1:
Equation 2:
Equation 3:
Equation 4:
Equation 1 has a quadratic exponent, the same for Equation 4.
And Equation 3 has a cubic exponent.
So the only equation that is linear is the Equation 2, because there are no exponents other than 1 in the expression.
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Answer:
Step-by-step explanation:
hello :
Part A : x+6y =6 means : 6y = - x+6
so : y = (-1/6)x+1 an equation for the line (D)
y = (1/3)x -2 is the line (D')
PartB : solution of the system : y = (-1/6)x+1 ....(1) color red
y = (1/3)x -2 ....(2) color bleu
is the intersection point : (6 ; 0)
PartC : Algebraically by (1) and (2) : (-1/6)x+1 = (1/3)x -2
(-1/6)x - (1/3)x = -2-1
(-x-2x)/6= -3
-3x = -18
so : x = 6 put this value in (1) or (2) : y = (-1/6)(6)+1 =0 the solution is : (6 ;0)
Answer:
Step-by-step explanation:
When given the following functions,
One is asked to find the following,
1. Question 1
When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;
2. Question 2
Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,
3. Question 3
This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function () and simplify. Then substitute (-3) into the result.
Now substitute (-3) in place of (x),