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Lady bird [3.3K]
4 years ago
7

A test has 20 questions worth 100 points. The test consists of true/false questionsworth 3 points each and multiple choice quest

ions worth 11 points each. How many multiple choice questions are on the test?
Mathematics
1 answer:
Artist 52 [7]4 years ago
7 0
X for number of true/false questions and y for number of multiple choice questions:

3x+11y=100
x+y=20
Solve the system and the answer is 5 multiple choice questions.
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5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).
Anon25 [30]

Answer:

The following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

f(x)=mx+b

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) y^2=\:5x\:+2

y^2=\:5x\:+2  is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) 2x\:+\:4\:=\:3x\:-\:8

2x\:+\:4\:=\:3x\:-\:8

x=12

This is a linear equation is an equation of a straight line, written in one variable.  The only power of the variable is 1

3) y = 3x - 2

y = 3x - 2 is a linear function because it is of the form f(x)=mx+b and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) y\:+\:x^2\:=\:12

y\:+\:x^2\:=\:12 is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) y\:=\:x^2\:+\:2x

y\:=\:x^2\:+\:2x is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) 1

1 is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree 0 or is the 0 polynomial.

7) 3x\:+\:-y\:=\:24

3x\:+\:-y\:=\:24 is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a  summary, the following are the LINEAR functions.

  • 2x\:+\:4\:=\:3x\:-\:8
  • y = 3x - 2
  • 1
  • 3x\:+\:-y\:=\:24

7 0
3 years ago
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