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EastWind [94]
2 years ago
14

Which of the functions is a linear function? PLEASE I NEED HELP!! A) y = x to the 3 power + 3 B) y = 2/x + 2 C) y = 3x to the 2

power +1 OR D) y = 4x - 8
Mathematics
1 answer:
Nata [24]2 years ago
8 0
<h3>Answer:  D) y = 4x - 8</h3>

========================================================

Explanation:

All linear functions can be written into the form y = mx+b

m = slope

b = y intercept

Choice D is of that form. In this case, m = 4 and b = -8

Choices A and C involve exponents larger than 1, which is why we don't have linear equations here. If you were to graph these, you'll find they produce nonlinear curves (i.e. curves that aren't straight lines). The same goes for choice B as well. Linear equations cannot have x in the denominator.

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Cos 45 is option B! :)
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3 years ago
Consider m = y2 - y1/ x2 - x1 . Which x1 and x2-values would determine that the line is vertical? Justify your answer
Y_Kistochka [10]

Answer:

x_2=x_1

Step-by-step explanation:

We were given the slope formula;

m=\frac{y_2-y_1}{x_2-x_1}

This line is vertical if the denominator is zero.

That is when x_2-x-1=0

This implies that;

x_2=x_1

Justification;

When x_2=x_1, then, the line passes through;

(x_1,y_1)  and (x_1,y_2)

The slope now become

m=\frac{y_2-y_1}{x_1-x_1}=\frac{y_2-y_1}{0}

The equation of the line is

y-y_1=\frac{y_2-y_1}{0}(x-x_1)

This implies that;

0(y-y_1)=(y_2-y_1)(x-x_1)

0=(y_2-y_1)(x-x_1)

\frac{0}{y_2-y_1}=(x-x_1)

0=(x-x_1)

x=x_1... This is the equation of a vertical line.

3 0
2 years ago
There are some nickels, dimes, and quarters in a large piggy bank. For every 2 nickels there are 3 dimes. For every 2 dimes ther
Novay_Z [31]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can someone please help me with this solving exponential equation e^4x-9=56
Bumek [7]
Ln(56) = 4x-9
ln(56) + 9 = 4x
(ln(56) + 9)/4 = x

4 0
2 years ago
Given f(x) = -x – 4, find f(4).<br> I need help
Brums [2.3K]

Answer:

f(4) = -8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -x - 4

f(4) is x = 4

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                  f(4) = -4 - 4
  2. Subtract:                            f(4) = -8
5 0
2 years ago
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