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sashaice [31]
4 years ago
10

Which equation represents a linear function? Equation 1: y = 2x2 + 1 Equation 2: y = 8x + 1 Equation 3: y = 5x3 – 1 Equation 4:

y2 = 4x – 1
Mathematics
2 answers:
zloy xaker [14]4 years ago
7 0
Equation 2 is the only linear one due to the fact that there is no exponent on the x or y values. 
yKpoI14uk [10]4 years ago
5 0

Answer:

Equation 2: y = 8x

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: y = 2x^2 + 1

Equation 2: y = 8x

Equation 3: y = 5x^3 - 1

Equation 4: y^2 = 4x - 1

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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Read 2 more answers
At the beginning of the semester students reported that they spend an average of 5 hours per day watching television, decreasing
Katyanochek1 [597]

Answer:

(a) X(t)=X(0)+\Delta X*t=5-0.5*t

(b) X(t)=X(0)+\Delta X*t=1+0.5*t

(c) At 4 weeks, when both will be seeing an average of 3 hours of TV.

Step-by-step explanation:

a) For the students, they start at X(0)=5 h and ΔX=-0.5 h/week.

We can write

X(t)=X(0)+\Delta X*t=5-0.5*t

b) For the professors, they start at X(0)=1 h and ΔX=+0.5 h/week.

We can write

X(t)=X(0)+\Delta X*t=1+0.5*t

c) The seew which they will be watching the same amount of hours will be the 4th week.

X(t)=5-0.5*t=1+0.5*t\\\\5-1=(0.5+0.5)*t\\\\t=4\, weeks

The amount of hours will be

x(4)=1+0.5*4=1+2=3\,hours

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