Does the equation y = 2.3x represent a linear or nonlinear function? Explain.

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

7 0

Answer:

y = 2.3x is a linear function.

Step-by-step explanation:

A linear function is a function with all of its terms to the first degree, in other words, none of its terms has an exponent. This means that when the function is plotted out, the resulting graph will be a line. The function, ( y = 2.3x) satisfies both of these requirements, hence it is linear.

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A taxi company charges passengers $2.00 for a ride, and an additional $0.50 for each mile traveled. The function rule = 0.50 + 2

stellarik [79]

Answer:

The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.

Step-by-step explanation:

The graph of the function rule will be a line segment connecting (0,2) and (40,22) as shown in the graph below.

5 0

2 years ago

Please help thank you and show all work.

Daniel [21]

Question 1:

Look at the first attached image.

We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.

Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.

$51*tan(15)$
$\approx 14$

Now, subtract that from 207 to get the height of the smaller building.

$207-14=193$

That's your answer.

Question 2:

The angle of elevation is congruent to the angle of depression because they are alternate interior angles.

Thus, you can choose the 1st and 4th choices as your answer.

Question 3:

Look at the second attached image.

Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

$3x+1=2(x+8)$

Distributive property

$3x+1=2x+16$

Subtract both sides by 1 and 2x

$x=15$

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.

The third choice is your answer. Hope this helps! :)